Atmospheric neutrino oscillations with three neutrinos and a mass hierarchy

Nuclear Physics B

Volumn 521, Issue 1-2, 1998, Pages 3-36

  Giunti, C ^a   Kim, C W ^b,c   Monteno, M ^a  

^a UNIVERSITY OF TURIN   (Italy)

^b JOHNS HOPKINS UNIVERSITY   (United States)

^c Korea Institute for Advanced Study   (South Korea)

Author keywords

Atmospheric neutrinos; Neutrino masses and mixing; Neutrino oscillations

Indexed keywords

EID: 0032527315     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(98)00105-9     Document Type: Article

References (161)

1. [1] K.S. Hirata et al., Phys. Lett. B 205 (1988) 416.
2. [2] K.S. Hirata et al., Phys. Lett. B 280 (1992) 146.
3. [3] Y. Fukuda et al., Phys. Lett. B 335 (1994) 237.
4. [4] D. Casper et al., Phys. Rev. Lett. 66 (1991) 2561; R. Becker-Szendy et al., Phys. Rev. D 46 (1992) 3720; Nucl. Phys. B (Proc. Suppl.) 38 (1995) 331.
5. [4] D. Casper et al., Phys. Rev. Lett. 66 (1991) 2561; R. Becker-Szendy et al., Phys. Rev. D 46 (1992) 3720; Nucl. Phys. B (Proc. Suppl.) 38 (1995) 331.
6. [4] D. Casper et al., Phys. Rev. Lett. 66 (1991) 2561; R. Becker-Szendy et al., Phys. Rev. D 46 (1992) 3720; Nucl. Phys. B (Proc. Suppl.) 38 (1995) 331.
7. [5] T. Kafka, Nucl. Phys. B (Proc. Suppl.) 35 (1994) 427; M. Goodman, ibid. 38 (1995) 337; W.W.M. Allison et al., Phys. Lett. B 391 (1997) 491.
8. [5] T. Kafka, Nucl. Phys. B (Proc. Suppl.) 35 (1994) 427; M. Goodman, ibid. 38 (1995) 337; W.W.M. Allison et al., Phys. Lett. B 391 (1997) 491.
9. [5] T. Kafka, Nucl. Phys. B (Proc. Suppl.) 35 (1994) 427; M. Goodman, ibid. 38 (1995) 337; W.W.M. Allison et al., Phys. Lett. B 391 (1997) 491.
10. [6] B. Pontecorvo, J. Exp. Theor. Phys. 33 (1957) 549 [Sov. Phys. JETP 6 (1958) 429]; J. Exp. Theor. Phys. 34 (1958) 247 [Sov. Phys. JETP 7 (1958) 172].
11. [6] B. Pontecorvo, J. Exp. Theor. Phys. 33 (1957) 549 [Sov. Phys. JETP 6 (1958) 429]; J. Exp. Theor. Phys. 34 (1958) 247 [Sov. Phys. JETP 7 (1958) 172].
12. [6] B. Pontecorvo, J. Exp. Theor. Phys. 33 (1957) 549 [Sov. Phys. JETP 6 (1958) 429]; J. Exp. Theor. Phys. 34 (1958) 247 [Sov. Phys. JETP 7 (1958) 172].
13. [6] B. Pontecorvo, J. Exp. Theor. Phys. 33 (1957) 549 [Sov. Phys. JETP 6 (1958) 429]; J. Exp. Theor. Phys. 34 (1958) 247 [Sov. Phys. JETP 7 (1958) 172].
14. [7] S.M. Bilenky and B. Pontecorvo, Phys. Rep. 41 (1978) 225.
15. [8] S.M. Bilenky and S.T. Petcov, Rev. Mod. Phys. 59 (1987) 671.
16. [9] R.N. Mohapatra and P.B. Pal, Massive Neutrinos in Physics and Astrophysics, World Scientific Lecture Notes in Physics, Vol. 41 (World Scientific, Singapore, 1991).
17. [10] C.W. Kim and A. Pevsner, Neutrinos in Physics and Astrophysics, Contemporary Concepts in Physics, Vol. 8 (Harwood Academic Press, Chur, Switzerland, 1993).
18. [11] G. Gelmini and E. Roulet, Rep. Prog. Phys. 58 (1995) 1207.
19. [12] S.M. Barr, T.K. Gaisser, P. Lipari and S. Tilav, Phys. Lett. B 214 (1988) 147; G. Barr, T.K. Gaisser and T. Stanev, Phys. Rev. D 39 (1989) 3532; W. Frati, T.K. Gaisser, A.K. Mann and T. Stanev, Phys. Rev. D 48 (1993) 1140; T.K. Gaisser, Nucl. Phys. B (Proc. Suppl.) 35 (1994) 209.
20. [12] S.M. Barr, T.K. Gaisser, P. Lipari and S. Tilav, Phys. Lett. B 214 (1988) 147; G. Barr, T.K. Gaisser and T. Stanev, Phys. Rev. D 39 (1989) 3532; W. Frati, T.K. Gaisser, A.K. Mann and T. Stanev, Phys. Rev. D 48 (1993) 1140; T.K. Gaisser, Nucl. Phys. B (Proc. Suppl.) 35 (1994) 209.
21. [12] S.M. Barr, T.K. Gaisser, P. Lipari and S. Tilav, Phys. Lett. B 214 (1988) 147; G. Barr, T.K. Gaisser and T. Stanev, Phys. Rev. D 39 (1989) 3532; W. Frati, T.K. Gaisser, A.K. Mann and T. Stanev, Phys. Rev. D 48 (1993) 1140; T.K. Gaisser, Nucl. Phys. B (Proc. Suppl.) 35 (1994) 209.
22. [12] S.M. Barr, T.K. Gaisser, P. Lipari and S. Tilav, Phys. Lett. B 214 (1988) 147; G. Barr, T.K. Gaisser and T. Stanev, Phys. Rev. D 39 (1989) 3532; W. Frati, T.K. Gaisser, A.K. Mann and T. Stanev, Phys. Rev. D 48 (1993) 1140; T.K. Gaisser, Nucl. Phys. B (Proc. Suppl.) 35 (1994) 209.
23. [13] T.K. Gaisser, Cosmic Rays and Particle Physics (Cambridge University Press, Cambridge, 1990).
24. [14] E.V. Bugaev and V.A. Naumov, Yad. Fiz. 45 (1987) 1380 [Sov. J. Nucl. Phys. 45 (1987) 857]; Phys. Lett. B 232 (1989) 391.
25. [14] E.V. Bugaev and V.A. Naumov, Yad. Fiz. 45 (1987) 1380 [Sov. J. Nucl. Phys. 45 (1987) 857]; Phys. Lett. B 232 (1989) 391.
26. [14] E.V. Bugaev and V.A. Naumov, Yad. Fiz. 45 (1987) 1380 [Sov. J. Nucl. Phys. 45 (1987) 857]; Phys. Lett. B 232 (1989) 391.
27. [15] M. Honda et al., Phys. Lett. B 248 (1990) 193; Phys. Rev. D 52 (1995) 4985.
28. [15] M. Honda et al., Phys. Lett. B 248 (1990) 193; Phys. Rev. D 52 (1995) 4985.
29. [16] D.H. Perkins, Astropart. Phys. 2 (1994) 249.
30. [17] K. Martens, Talk presented at the International Europhysics Conference on High Energy Physics, 19-26 August 1997, Jerusalem, Israel (http://www.cern.ch/hep97/abstract/tpa10.htm); E. Kearns, Talk presented at the Conference on Solar Neutrinos: News About SNUs, 2-6 December 1997, Santa Barbara, California (http://doug-pc.itp.ucsb.edu/online/snu/).
31. [17] K. Martens, Talk presented at the International Europhysics Conference on High Energy Physics, 19-26 August 1997, Jerusalem, Israel (http://www.cern.ch/hep97/abstract/tpa10.htm); E. Kearns, Talk presented at the Conference on Solar Neutrinos: News About SNUs, 2-6 December 1997, Santa Barbara, California (http://doug-pc.itp.ucsb.edu/online/snu/).
32. [18] O.G. Ryazhskaya, JETP Lett. 60 (1994) 617; 61 (1995) 237.
33. [18] O.G. Ryazhskaya, JETP Lett. 60 (1994) 617; 61 (1995) 237.
34. [19] Y. Fukuda et al., Phys. Lett. B 388 (1996) 397.
35. [20] C. Berger et al., Phys. Lett. B 227 (1989) 489; B 245 (1990) 305; K. Daum et al., Z. Phys. C 66 (1995) 417.
36. [20] C. Berger et al., Phys. Lett. B 227 (1989) 489; B 245 (1990) 305; K. Daum et al., Z. Phys. C 66 (1995) 417.
37. [20] C. Berger et al., Phys. Lett. B 227 (1989) 489; B 245 (1990) 305; K. Daum et al., Z. Phys. C 66 (1995) 417.
38. [21] M. Aglietta et al., Europhys. Lett. 8 (1989) 611; 15 (1991) 559.
39. [21] M. Aglietta et al., Europhys. Lett. 8 (1989) 611; 15 (1991) 559.
40. [22] R. Clark et al., Phys. Rev. Lett. 79 (1997) 345.
41. [23] G.L. Fogli, E. Lisi and D. Montanino, Phys. Rev. D 49 (1994) 3626; Astropart. Phys. 4 (1995) 177; G.L. Fogti, E. Lisi, D. Montanino and G. Scioscia, Phys. Rev. D 55 (1997) 4385.
42. [23] G.L. Fogli, E. Lisi and D. Montanino, Phys. Rev. D 49 (1994) 3626; Astropart. Phys. 4 (1995) 177; G.L. Fogti, E. Lisi, D. Montanino and G. Scioscia, Phys. Rev. D 55 (1997) 4385.
43. [23] G.L. Fogli, E. Lisi and D. Montanino, Phys. Rev. D 49 (1994) 3626; Astropart. Phys. 4 (1995) 177; G.L. Fogti, E. Lisi, D. Montanino and G. Scioscia, Phys. Rev. D 55 (1997) 4385.
44. [24] S.M. Bilenky, C. Giunti and C.W. Kim, Astropart. Phys. 4 (1996) 241.
45. [25] M. Mori et al., Phys. Lett. B 270 (1991) 89.
46. [26] R. Becker-Szendy et al., Phys. Rev. Lett. 69 (1992) 1010.
47. [27] M.M. Boliev et al., Proc. Third International Workshop on Neutrino Telescopes, Venezia, March 1991.
48. [28] MACRO Coll., S. Ahlen et al., Phys. Lett. B 357 (1995) 481; A. Surdo, Talk presented at the XVIth International Workshop on Weak Interactions and Neutrinos, Capri, Italy, 22-28 June 1997; MACRO Coll., M. Ambrosio et al., preprint INFN/AE-97/21.
49. [28] MACRO Coll., S. Ahlen et al., Phys. Lett. B 357 (1995) 481; A. Surdo, Talk presented at the XVIth International Workshop on Weak Interactions and Neutrinos, Capri, Italy, 22-28 June 1997; MACRO Coll., M. Ambrosio et al., preprint INFN/AE-97/21.
50. [28] MACRO Coll., S. Ahlen et al., Phys. Lett. B 357 (1995) 481; A. Surdo, Talk presented at the XVIth International Workshop on Weak Interactions and Neutrinos, Capri, Italy, 22-28 June 1997; MACRO Coll., M. Ambrosio et al., preprint INFN/AE-97/21.
51. [29] W. Frati et al., Phys. Rev. D 48 (1993) 1140; V. Agrawal et al., Phys. Rev. 53 (1996) 1314; T.K. Gaisser et al., Phys. Rev. 54 (1996) 5578.
52. [29] W. Frati et al., Phys. Rev. D 48 (1993) 1140; V. Agrawal et al., Phys. Rev. 53 (1996) 1314; T.K. Gaisser et al., Phys. Rev. 54 (1996) 5578.
53. [29] W. Frati et al., Phys. Rev. D 48 (1993) 1140; V. Agrawal et al., Phys. Rev. 53 (1996) 1314; T.K. Gaisser et al., Phys. Rev. 54 (1996) 5578.
54. [30] G.L. Fogli, E. Lisi and A. Marrone, Phys. Rev. D 57 (1998) 5893.
55. [31] C. Bemporad, Proc. Neutrino 96, Helsinki, Finland, 13-19 June 1996, ed. K. Enqvist, K. Huitu and J. Maalampi (World Scientific, Singapore, 1997) p. 242; http://duphy4.physics.drexel.edu/chooz-pub/index.htmlx.
56. [32] F. Boehm et al., The Palo Verde experiment, 1996 (http://www.cco.caltech.edu/~songhoon/Palo-Verde/Palo-Verde.html); G. Gratta, Proc. of Neutrino 96, Helsinki, Finland, 13-19 June 1996, ed. K. Enqvist, K. Huitu and J. Maalampi (World Scientific, Singapore, 1997) p. 248.
57. [32] F. Boehm et al., The Palo Verde experiment, 1996 (http://www.cco.caltech.edu/~songhoon/Palo-Verde/Palo-Verde.html); G. Gratta, Proc. of Neutrino 96, Helsinki, Finland, 13-19 June 1996, ed. K. Enqvist, K. Huitu and J. Maalampi (World Scientific, Singapore, 1997) p. 248.
58. [33] Y. Suzuki, Proc. of Neutrino 96, Helsinki, Finland, 13-19 June 1996, ed. K, Enqvist, K, Huitu and J. Maalampi (World Scientific, Singapore, 1997) p. 237; http://pnahp.kek.jp/.
59. [34] MINOS Coll., D. Ayres et al., NUMI-L-63, February 1995; S.G. Wojcicki, Proc. of Neutrino 96, Helsinki, Finland, 13-19 June 1996, ed. K. Enqvist, K. Huitu and J. Maalampi (World Scientific, Singapore, 1997) p. 231; http://www.hep.anl.gov/NDK/ HyperText/numi.html.
60. [34] MINOS Coll., D. Ayres et al., NUMI-L-63, February 1995; S.G. Wojcicki, Proc. of Neutrino 96, Helsinki, Finland, 13-19 June 1996, ed. K. Enqvist, K. Huitu and J. Maalampi (World Scientific, Singapore, 1997) p. 231; http://www.hep.anl.gov/NDK/HyperText/numi.html.
61. [35] ICARUS Coll., P, Cennini et al., LNGS-94/99-I, May 1994; http://www.aquila.infn.it/icarus/.
62. [36] M. Gell-Mann, P. Ramond and R. Slansky, in Supergravity, ed. F. van Nieuwenhuizen and D. Freedman (North-Holland, Amsterdam, 1979) p. 315; T. Yanagida, Proc. of the Workshop on Unified Theory and the Baryon Number of the Universe, KEK, Japan, 1979; S. Weinberg, Phys. Rev. Lett. 43 (1979) 1566.
63. [36] M. Gell-Mann, P. Ramond and R. Slansky, in Supergravity, ed. F. van Nieuwenhuizen and D. Freedman (North-Holland, Amsterdam, 1979) p. 315; T. Yanagida, Proc. of the Workshop on Unified Theory and the Baryon Number of the Universe, KEK, Japan, 1979; S. Weinberg, Phys. Rev. Lett. 43 (1979) 1566.
64. [36] M. Gell-Mann, P. Ramond and R. Slansky, in Supergravity, ed. F. van Nieuwenhuizen and D. Freedman (North-Holland, Amsterdam, 1979) p. 315; T. Yanagida, Proc. of the Workshop on Unified Theory and the Baryon Number of the Universe, KEK, Japan, 1979; S. Weinberg, Phys. Rev. Lett. 43 (1979) 1566.
65. [37] B.T. Cleveland et al., Nucl. Phys. B (Proc. Suppl.) 38 (1995) 47.
66. [38] K.S. Hirata et al., Phys. Rev. Lett. 65 (1990) 1297; Phys. Rev. D 44 (1991) 2241.
67. [38] K.S. Hirata et al., Phys. Rev. Lett. 65 (1990) 1297; Phys. Rev. D 44 (1991) 2241.
68. [39] GALLEX Coll., Phys. Lett. B 285 (1992) 376; 314 (1993) 445; 327 (1994) 377; 342 (1995) 440; 388 (1996) 384.
69. [39] GALLEX Coll., Phys. Lett. B 285 (1992) 376; 314 (1993) 445; 327 (1994) 377; 342 (1995) 440; 388 (1996) 384.
70. [39] GALLEX Coll., Phys. Lett. B 285 (1992) 376; 314 (1993) 445; 327 (1994) 377; 342 (1995) 440; 388 (1996) 384.
71. [39] GALLEX Coll., Phys. Lett. B 285 (1992) 376; 314 (1993) 445; 327 (1994) 377; 342 (1995) 440; 388 (1996) 384.
72. [39] GALLEX Coll., Phys. Lett. B 285 (1992) 376; 314 (1993) 445; 327 (1994) 377; 342 (1995) 440; 388 (1996) 384.
73. [40] J.N. Abdurashitov et al., Phys. Lett. B 328 (1994) 234; Phys. Rev. Lett. 77 (1996) 4708.
74. [40] J.N. Abdurashitov et al., Phys. Lett. B 328 (1994) 234; Phys. Rev. Lett. 77 (1996) 4708.
75. [41] K. Inoue, Talk presented at TAUP97. September 7-11, 1997, Laboratori Nazionali del Gran Sasso, Assergi (Italy); R. Svoboda, Talk presented at the Conference on Solar Neutrinos: News About SNUs, 2-6 December 1997, Santa Barbara, California (http://doug-pc.itp.ucsb.edu/online/snu/).
76. [41] K. Inoue, Talk presented at TAUP97. September 7-11, 1997, Laboratori Nazionali del Gran Sasso, Assergi (Italy); R. Svoboda, Talk presented at the Conference on Solar Neutrinos: News About SNUs, 2-6 December 1997, Santa Barbara, California (http://doug-pc.itp.ucsb.edu/online/snu/).
77. [42] J.N. Bahcall and R. Ulrich, Rev. Mod. Phys. 60 (1988) 297; J.N. Bahcall, Neutrino Physics and Astrophysics (Cambridge Univ. Press, Cambridge, 1989); J.N. Bahcall and M.H. Pinsonneault, Rev. Mod. Phys. 64 (1992) 885; 67 (1995) 781;
78. [42] J.N. Bahcall and R. Ulrich, Rev. Mod. Phys. 60 (1988) 297; J.N. Bahcall, Neutrino Physics and Astrophysics (Cambridge Univ. Press, Cambridge, 1989); J.N. Bahcall and M.H. Pinsonneault, Rev. Mod. Phys. 64 (1992) 885; 67 (1995) 781;
79. [42] J.N. Bahcall and R. Ulrich, Rev. Mod. Phys. 60 (1988) 297; J.N. Bahcall, Neutrino Physics and Astrophysics (Cambridge Univ. Press, Cambridge, 1989); J.N. Bahcall and M.H. Pinsonneault, Rev. Mod. Phys. 64 (1992) 885; 67 (1995) 781;
80. [42] J.N. Bahcall and R. Ulrich, Rev. Mod. Phys. 60 (1988) 297; J.N. Bahcall, Neutrino Physics and Astrophysics (Cambridge Univ. Press, Cambridge, 1989); J.N. Bahcall and M.H. Pinsonneault, Rev. Mod. Phys. 64 (1992) 885; 67 (1995) 781;
81. [43] S. Turck-Chièze, S. Cahen, M. Cassé and C. Doom, Astrophys. J. 335 (1988) 415; S. Turck-Chièze and I. Lopes, Astrophys. J. 408 (1993) 347; S. Turck-Chièze et al., Phys. Rep. 230 (1993) 57.
82. [43] S. Turck-Chièze, S. Cahen, M. Cassé and C. Doom, Astrophys. J. 335 (1988) 415; S. Turck-Chièze and I. Lopes, Astrophys. J. 408 (1993) 347; S. Turck-Chièze et al., Phys. Rep. 230 (1993) 57.
83. [43] S. Turck-Chièze, S. Cahen, M. Cassé and C. Doom, Astrophys. J. 335 (1988) 415; S. Turck-Chièze and I. Lopes, Astrophys. J. 408 (1993) 347; S. Turck-Chièze et al., Phys. Rep. 230 (1993) 57.
84. [44] V. Castellani, S. Degl'Innocenti and G. Fiorentini, Astron. Astrophys. 271 (1993) 601; S. Degl'Innocenti, Univ. of Ferrara preprint INFN-FE-07-93; V. Castellani et al., Phys. Rep. 281 (1997) 309.
85. [44] V. Castellani, S. Degl'Innocenti and G. Fiorentini, Astron. Astrophys. 271 (1993) 601; S. Degl'Innocenti, Univ. of Ferrara preprint INFN-FE-07-93; V. Castellani et al., Phys. Rep. 281 (1997) 309.
86. [44] V. Castellani, S. Degl'Innocenti and G. Fiorentini, Astron. Astrophys. 271 (1993) 601; S. Degl'Innocenti, Univ. of Ferrara preprint INFN-FE-07-93; V. Castellani et al., Phys. Rep. 281 (1997) 309.
87. [45] A. Dar and G. Shaviv, Nucl. Phys. B (Proc. Suppl.) 48 (1996) 335.
88. [46] V. Castellani et al., Astron. Astrophys. 271 (1993) 601; S.A. Bludman et al., Phys. Rev. D 49 (1994) 3622; V. Berezinsky, Comm. Nucl. Part. Phys. 21 (1994) 249; J.N. Bahcall, Phys. Lett. B 338 ( 1994) 276.
89. [46] V. Castellani et al., Astron. Astrophys. 271 (1993) 601; S.A. Bludman et al., Phys. Rev. D 49 (1994) 3622; V. Berezinsky, Comm. Nucl. Part. Phys. 21 (1994) 249; J.N. Bahcall, Phys. Lett. B 338 ( 1994) 276.
90. [46] V. Castellani et al., Astron. Astrophys. 271 (1993) 601; S.A. Bludman et al., Phys. Rev. D 49 (1994) 3622; V. Berezinsky, Comm. Nucl. Part. Phys. 21 (1994) 249; J.N. Bahcall, Phys. Lett. B 338 ( 1994) 276.
91. [46] V. Castellani et al., Astron. Astrophys. 271 (1993) 601; S.A. Bludman et al., Phys. Rev. D 49 (1994) 3622; V. Berezinsky, Comm. Nucl. Part. Phys. 21 (1994) 249; J.N. Bahcall, Phys. Lett. B 338 ( 1994) 276.
92. [47] S.P. Mikheyev and A.Yu. Smirnov, Yad. Fiz. 42 (1985) 1441 [Sov. J. Nucl. Phys. 42 (1985) 913] ; II Nuovo Cimento C 9 (1986) 17.
93. [47] S.P. Mikheyev and A.Yu. Smirnov, Yad. Fiz. 42 (1985) 1441 [Sov. J. Nucl. Phys. 42 (1985) 913] ; II Nuovo Cimento C 9 (1986) 17.
94. [47] S.P. Mikheyev and A.Yu. Smirnov, Yad. Fiz. 42 (1985) 1441 [Sov. J. Nucl. Phys. 42 (1985) 913] ; II Nuovo Cimento C 9 (1986) 17.
95. [48] GALLEX Coll., P. Anselmann et al., Phys. Lett. B 285 (1992) 390; X. Shi, D.N. Schramm and J.N. Bahcall, Phys. Rev. Lett. 69 (1992) 717; P.I. Krastev and S.T. Petcov, Phys. Lett. B 299 (1993) 99; G.L. Fogli and E. Lisi, Astropart. Phys. 2 (1994) 91; N. Hata and P.G. Langacker, Phys. Rev. D 50 ( 1994) 632; G. Fiorentini et al., Phys. Rev. D 49 (1994) 6298; L.M. Krauss, E. Gates and M. White, Phys. Rev. D 51 (1995) 2631.
96. [48] GALLEX Coll., P. Anselmann et al., Phys. Lett. B 285 (1992) 390; X. Shi, D.N. Schramm and J.N. Bahcall, Phys. Rev. Lett. 69 (1992) 717; P.I. Krastev and S.T. Petcov, Phys. Lett. B 299 (1993) 99; G.L. Fogli and E. Lisi, Astropart. Phys. 2 (1994) 91; N. Hata and P.G. Langacker, Phys. Rev. D 50 ( 1994) 632; G. Fiorentini et al., Phys. Rev. D 49 (1994) 6298; L.M. Krauss, E. Gates and M. White, Phys. Rev. D 51 (1995) 2631.
97. [48] GALLEX Coll., P. Anselmann et al., Phys. Lett. B 285 (1992) 390; X. Shi, D.N. Schramm and J.N. Bahcall, Phys. Rev. Lett. 69 (1992) 717; P.I. Krastev and S.T. Petcov, Phys. Lett. B 299 (1993) 99; G.L. Fogli and E. Lisi, Astropart. Phys. 2 (1994) 91; N. Hata and P.G. Langacker, Phys. Rev. D 50 ( 1994) 632; G. Fiorentini et al., Phys. Rev. D 49 (1994) 6298; L.M. Krauss, E. Gates and M. White, Phys. Rev. D 51 (1995) 2631.
98. [48] GALLEX Coll., P. Anselmann et al., Phys. Lett. B 285 (1992) 390; X. Shi, D.N. Schramm and J.N. Bahcall, Phys. Rev. Lett. 69 (1992) 717; P.I. Krastev and S.T. Petcov, Phys. Lett. B 299 (1993) 99; G.L. Fogli and E. Lisi, Astropart. Phys. 2 (1994) 91; N. Hata and P.G. Langacker, Phys. Rev. D 50 ( 1994) 632; G. Fiorentini et al., Phys. Rev. D 49 (1994) 6298; L.M. Krauss, E. Gates and M. White, Phys. Rev. D 51 (1995) 2631.
99. [48] GALLEX Coll., P. Anselmann et al., Phys. Lett. B 285 (1992) 390; X. Shi, D.N. Schramm and J.N. Bahcall, Phys. Rev. Lett. 69 (1992) 717; P.I. Krastev and S.T. Petcov, Phys. Lett. B 299 (1993) 99; G.L. Fogli and E. Lisi, Astropart. Phys. 2 (1994) 91; N. Hata and P.G. Langacker, Phys. Rev. D 50 ( 1994) 632; G. Fiorentini et al., Phys. Rev. D 49 (1994) 6298; L.M. Krauss, E. Gates and M. White, Phys. Rev. D 51 (1995) 2631.
100. [48] GALLEX Coll., P. Anselmann et al., Phys. Lett. B 285 (1992) 390; X. Shi, D.N. Schramm and J.N. Bahcall, Phys. Rev. Lett. 69 (1992) 717; P.I. Krastev and S.T. Petcov, Phys. Lett. B 299 (1993) 99; G.L. Fogli and E. Lisi, Astropart. Phys. 2 (1994) 91; N. Hata and P.G. Langacker, Phys. Rev. D 50 ( 1994) 632; G. Fiorentini et al., Phys. Rev. D 49 (1994) 6298; L.M. Krauss, E. Gates and M. White, Phys. Rev. D 51 (1995) 2631.
101. [48] GALLEX Coll., P. Anselmann et al., Phys. Lett. B 285 (1992) 390; X. Shi, D.N. Schramm and J.N. Bahcall, Phys. Rev. Lett. 69 (1992) 717; P.I. Krastev and S.T. Petcov, Phys. Lett. B 299 (1993) 99; G.L. Fogli and E. Lisi, Astropart. Phys. 2 (1994) 91; N. Hata and P.G. Langacker, Phys. Rev. D 50 ( 1994) 632; G. Fiorentini et al., Phys. Rev. D 49 (1994) 6298; L.M. Krauss, E. Gates and M. White, Phys. Rev. D 51 (1995) 2631.
102. [49] V. Barger, R.J.N. Phillips and K. Whisnant, Phys. Rev. Lett. 69 (1992) 3135; P.I. Krastev and S.T. Petcov, Phys. Rev. Lett. 72 (1994) 1960.
103. [49] V. Barger, R.J.N. Phillips and K. Whisnant, Phys. Rev. Lett. 69 (1992) 3135; P.I. Krastev and S.T. Petcov, Phys. Rev. Lett. 72 (1994) 1960.
104. [50] R.M. Barnett et al., Phys. Rev. D 54 (1996) 1.
105. [51] R.G.H. Robertson and D.A. Knapp, Ann. Rev. Nucl. Part. Sci. 38 (1988) 185; N.A. Jelley, Proc. of the Seventh Int. Workshop on Neutrino Telescopes, Venezia, February 1996, p. 131.
106. [51] R.G.H. Robertson and D.A. Knapp, Ann. Rev. Nucl. Part. Sci. 38 (1988) 185; N.A. Jelley, Proc. of the Seventh Int. Workshop on Neutrino Telescopes, Venezia, February 1996, p. 131.
107. [52] L. Wolfenstein, Phys. Rev. D 17 (1978) 2369; Phys. Rev. D 20 (1979) 2634.
108. [52] L. Wolfenstein, Phys. Rev. D 17 (1978) 2369; Phys. Rev. D 20 (1979) 2634.
109. [53] E.D. Carlson, Phys. Rev. D 34 (1986) 1454; P.I. Krastev and S.T. Petcov, Phys. Lett. B 205 (1988) 84; G. Auriemma et al., Phys. Lett. B 37 (1988) 665; E. Akhmedov, P. Lipari and M. Lusignoli, Phys. Rev. D 300 (1993) 128.
110. [53] E.D. Carlson, Phys. Rev. D 34 (1986) 1454; P.I. Krastev and S.T. Petcov, Phys. Lett. B 205 (1988) 84; G. Auriemma et al., Phys. Lett. B 37 (1988) 665; E. Akhmedov, P. Lipari and M. Lusignoli, Phys. Rev. D 300 (1993) 128.
111. [53] E.D. Carlson, Phys. Rev. D 34 (1986) 1454; P.I. Krastev and S.T. Petcov, Phys. Lett. B 205 (1988) 84; G. Auriemma et al., Phys. Lett. B 37 (1988) 665; E. Akhmedov, P. Lipari and M. Lusignoli, Phys. Rev. D 300 (1993) 128.
112. [53] E.D. Carlson, Phys. Rev. D 34 (1986) 1454; P.I. Krastev and S.T. Petcov, Phys. Lett. B 205 (1988) 84; G. Auriemma et al., Phys. Lett. B 37 (1988) 665; E. Akhmedov, P. Lipari and M. Lusignoli, Phys. Rev. D 300 (1993) 128.
113. [54] T.K. Kuo and J. Pantaleone, Rev. Mod. Phys. 61 (1989) 937.
114. [55] C. Athanassopoulos et al., Phys. Rev. Lett. 75 (1995) 2650; 77 (1996) 3082.
115. [55] C. Athanassopoulos et al., Phys. Rev. Lett. 75 (1995) 2650; 77 (1996) 3082.
116. [56] C.Y. Cardall and G.M. Fuller, Phys. Rev. D 53 (1996) 4421; O. Yasuda and H. Minakata, preprint TMUP-HEL-9604 (hep-ph/9602386); S.M. Bilenky, C. Giunti and W. Grimus, Eur. Phys. J. C 1 (1998) 247; N. Okada and O. Yasuda, Int. J. Mod. Phys. A 12 (1997) 3669.
117. [56] C.Y. Cardall and G.M. Fuller, Phys. Rev. D 53 (1996) 4421; O. Yasuda and H. Minakata, preprint TMUP-HEL-9604 (hep-ph/9602386); S.M. Bilenky, C. Giunti and W. Grimus, Eur. Phys. J. C 1 (1998) 247; N. Okada and O. Yasuda, Int. J. Mod. Phys. A 12 (1997) 3669.
118. [56] C.Y. Cardall and G.M. Fuller, Phys. Rev. D 53 (1996) 4421; O. Yasuda and H. Minakata, preprint TMUP-HEL-9604 (hep-ph/9602386); S.M. Bilenky, C. Giunti and W. Grimus, Eur. Phys. J. C 1 (1998) 247; N. Okada and O. Yasuda, Int. J. Mod. Phys. A 12 (1997) 3669.
119. [56] C.Y. Cardall and G.M. Fuller, Phys. Rev. D 53 (1996) 4421; O. Yasuda and H. Minakata, preprint TMUP-HEL-9604 (hep-ph/9602386); S.M. Bilenky, C. Giunti and W. Grimus, Eur. Phys. J. C 1 (1998) 247; N. Okada and O. Yasuda, Int. J. Mod. Phys. A 12 (1997) 3669.
120. [57] J. Kleinfeller, Nucl. Phys. B (Proc. Suppl.) 48 (1996) 207.
121. [58] L. Ludovici and P. Zucchelli, preprint CERN-PPE/96-181; Booster Neutrino Experiment (BooNE), http://nul.lampf.lanl.gov/BooNE.
122. [58] L. Ludovici and P. Zucchelli, preprint CERN-PPE/96-181; Booster Neutrino Experiment (BooNE), http://nul.lampf.lanl.gov/BooNE.
123. [59] F. Boehm, Nucl. Phys. B (Proc. Suppl.) 48 (1996) 148; F. Vannucci, Nucl. Phys. B (Proc. Suppl.) 48 (1996) 154.
124. [59] F. Boehm, Nucl. Phys. B (Proc. Suppl.) 48 (1996) 148; F. Vannucci, Nucl. Phys. B (Proc. Suppl.) 48 (1996) 154.
125. [60] B. Achkar et al., Nucl. Phys. B 434 (1995) 503.
126. [61] G.S. Vidyakin et al., JETP Lett. 59 (1994) 390.
127. [62] M. Kobayashi and T. Maskawa, Prog. Theor. Phys. 49 (1973) 652.
128. [63] J. Schechter and J.W.F. Valle, Phys. Rev. D 21 (1980) 309; 22 (1980) 2227.
129. [63] J. Schechter and J.W.F. Valle, Phys. Rev. D 21 (1980) 309; 22 (1980) 2227.
130. [64] S.M. Bilenky, J. Hosek and S.T. Petcov, Phys. Lett. B 94 (1980) 495.
131. [65] I.Yu. Kobzarev et al., Yad. Fiz. 32 (1980) 1590 [Sov. J. Nucl. Phys. 32 (1980) 823].
132. [65] I.Yu. Kobzarev et al., Yad. Fiz. 32 (1980) 1590 [Sov. J. Nucl. Phys. 32 (1980) 823].
133. [66] M. Doi et al., Phys. Lett. B 102 (1981) 323.
134. [67] P. Langacker et al., Nucl. Phys. B 282 (1987) 589.
135. [68] N. Cabibbo, Phys. Lett. B 72 (1978) 333.
136. [69] F.D. Stacey, Physics of the Earth, (Wiley, New York, 1977).
137. [70] D.L. Anderson, Theory of the Earth, (Blackwell Scientific Publications, 1989).
138. [71] N. Hata and P. Langacker, Phys. Rev. D 56 (1997) 6107; G.L. Fogli, E. Lisi and D. Montanino, preprint hep-ph/9709473.
139. [71] N. Hata and P. Langacker, Phys. Rev. D 56 (1997) 6107; G.L. Fogli, E. Lisi and D. Montanino, preprint hep-ph/9709473.
140. [72] Y. Suzuki (SuperKamiokande), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 163; R. Meijer Drees (SNO), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 210; F. von Feilitzsch (Borexino), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 192; E. Bellotti (GNO), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 173; K. Lande (Homestake Iodine), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 228; C. Tao (HELLAZ), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 238; A.V. Kopylov (Lithium), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 263; Yu.G. Zdesenko (Xenon), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 283; P. Cennini et al. (ICARUS), LNGS-94/99-I, May 1994; T.J. Bowels (GaAs), Proc. of Neutrino 96, Helsinki, Finland, 13-19 June 1996, ed. K. Enqvist, K. Huitu and J. Maalampi (World Scientific, Singapore, 1997) p. 83.
141. [72] Y. Suzuki (SuperKamiokande), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 163; R. Meijer Drees (SNO), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 210; F. von Feilitzsch (Borexino), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 192; E. Bellotti (GNO), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 173; K. Lande (Homestake Iodine), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 228; C. Tao (HELLAZ), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 238; A.V. Kopylov (Lithium), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 263; Yu.G. Zdesenko (Xenon), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 283; P. Cennini et al. (ICARUS), LNGS-94/99-I, May 1994; T.J. Bowels (GaAs), Proc. of Neutrino 96, Helsinki, Finland, 13-19 June 1996, ed. K. Enqvist, K. Huitu and J. Maalampi (World Scientific, Singapore, 1997) p. 83.
142. [72] Y. Suzuki (SuperKamiokande), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 163; R. Meijer Drees (SNO), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 210; F. von Feilitzsch (Borexino), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 192; E. Bellotti (GNO), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 173; K. Lande (Homestake Iodine), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 228; C. Tao (HELLAZ), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 238; A.V. Kopylov (Lithium), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 263; Yu.G. Zdesenko (Xenon), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 283; P. Cennini et al. (ICARUS), LNGS-94/99-I, May 1994; T.J. Bowels (GaAs), Proc. of Neutrino 96, Helsinki, Finland, 13-19 June 1996, ed. K. Enqvist, K. Huitu and J. Maalampi (World Scientific, Singapore, 1997) p. 83.
143. [72] Y. Suzuki (SuperKamiokande), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 163; R. Meijer Drees (SNO), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 210; F. von Feilitzsch (Borexino), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 192; E. Bellotti (GNO), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 173; K. Lande (Homestake Iodine), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 228; C. Tao (HELLAZ), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 238; A.V. Kopylov (Lithium), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 263; Yu.G. Zdesenko (Xenon), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 283; P. Cennini et al. (ICARUS), LNGS-94/99-I, May 1994; T.J. Bowels (GaAs), Proc. of Neutrino 96, Helsinki, Finland, 13-19 June 1996, ed. K. Enqvist, K. Huitu and J. Maalampi (World Scientific, Singapore, 1997) p. 83.
144. [72] Y. Suzuki (SuperKamiokande), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 163; R. Meijer Drees (SNO), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 210; F. von Feilitzsch (Borexino), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 192; E. Bellotti (GNO), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 173; K. Lande (Homestake Iodine), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 228; C. Tao (HELLAZ), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 238; A.V. Kopylov (Lithium), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 263; Yu.G. Zdesenko (Xenon), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 283; P. Cennini et al. (ICARUS), LNGS-94/99-I, May 1994; T.J. Bowels (GaAs), Proc. of Neutrino 96, Helsinki, Finland, 13-19 June 1996, ed. K. Enqvist, K. Huitu and J. Maalampi (World Scientific, Singapore, 1997) p. 83.
145. [72] Y. Suzuki (SuperKamiokande), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 163; R. Meijer Drees (SNO), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 210; F. von Feilitzsch (Borexino), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 192; E. Bellotti (GNO), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 173; K. Lande (Homestake Iodine), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 228; C. Tao (HELLAZ), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 238; A.V. Kopylov (Lithium), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 263; Yu.G. Zdesenko (Xenon), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 283; P. Cennini et al. (ICARUS), LNGS-94/99-I, May 1994; T.J. Bowels (GaAs), Proc. of Neutrino 96, Helsinki, Finland, 13-19 June 1996, ed. K. Enqvist, K. Huitu and J. Maalampi (World Scientific, Singapore, 1997) p. 83.
146. [72] Y. Suzuki (SuperKamiokande), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 163; R. Meijer Drees (SNO), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 210; F. von Feilitzsch (Borexino), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 192; E. Bellotti (GNO), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 173; K. Lande (Homestake Iodine), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 228; C. Tao (HELLAZ), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 238; A.V. Kopylov (Lithium), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 263; Yu.G. Zdesenko (Xenon), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 283; P. Cennini et al. (ICARUS), LNGS-94/99-I, May 1994; T.J. Bowels (GaAs), Proc. of Neutrino 96, Helsinki, Finland, 13-19 June 1996, ed. K. Enqvist, K. Huitu and J. Maalampi (World Scientific, Singapore, 1997) p. 83.
147. [72] Y. Suzuki (SuperKamiokande), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 163; R. Meijer Drees (SNO), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 210; F. von Feilitzsch (Borexino), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 192; E. Bellotti (GNO), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 173; K. Lande (Homestake Iodine), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 228; C. Tao (HELLAZ), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 238; A.V. Kopylov (Lithium), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 263; Yu.G. Zdesenko (Xenon), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 283; P. Cennini et al. (ICARUS), LNGS-94/99-I, May 1994; T.J. Bowels (GaAs), Proc. of Neutrino 96, Helsinki, Finland, 13-19 June 1996, ed. K. Enqvist, K. Huitu and J. Maalampi (World Scientific, Singapore, 1997) p. 83.
148. [72] Y. Suzuki (SuperKamiokande), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 163; R. Meijer Drees (SNO), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 210; F. von Feilitzsch (Borexino), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 192; E. Bellotti (GNO), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 173; K. Lande (Homestake Iodine), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 228; C. Tao (HELLAZ), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 238; A.V. Kopylov (Lithium), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 263; Yu.G. Zdesenko (Xenon), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 283; P. Cennini et al. (ICARUS), LNGS-94/99-I, May 1994; T.J. Bowels (GaAs), Proc. of Neutrino 96, Helsinki, Finland, 13-19 June 1996, ed. K. Enqvist, K. Huitu and J. Maalampi (World Scientific, Singapore, 1997) p. 83.
149. [72] Y. Suzuki (SuperKamiokande), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 163; R. Meijer Drees (SNO), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 210; F. von Feilitzsch (Borexino), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 192; E. Bellotti (GNO), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 173; K. Lande (Homestake Iodine), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 228; C. Tao (HELLAZ), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 238; A.V. Kopylov (Lithium), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 263; Yu.G. Zdesenko (Xenon), Proc. of the Fourth International Solar Neutrino Conference, Heidelberg, Germany, 8-11 April 1997, ed. W. Hampel (Max-Planck-Institut für Kernphysik, 1997) p. 283; P. Cennini et al. (ICARUS), LNGS-94/99-I, May 1994; T.J. Bowels (GaAs), Proc. of Neutrino 96, Helsinki, Finland, 13-19 June 1996, ed. K. Enqvist, K. Huitu and J. Maalampi (World Scientific, Singapore, 1997) p. 83.
150. [73] A. De Rujula et al., Nucl. Phys. B 168 (1980) 54; V. Barger and K. Whisnant, Phys. Lett. B 209 (1988) 365; S.M. Bilenky, M. Fabbrichesi and S.T. Petcov, Phys. Lett. B 276 (1992) 223.
151. [73] A. De Rujula et al., Nucl. Phys. B 168 (1980) 54; V. Barger and K. Whisnant, Phys. Lett. B 209 (1988) 365; S.M. Bilenky, M. Fabbrichesi and S.T. Petcov, Phys. Lett. B 276 (1992) 223.
152. [73] A. De Rujula et al., Nucl. Phys. B 168 (1980) 54; V. Barger and K. Whisnant, Phys. Lett. B 209 (1988) 365; S.M. Bilenky, M. Fabbrichesi and S.T. Petcov, Phys. Lett. B 276 (1992) 223.
153. [74] S.M. Bilenky et al., Phys. Lett. B 356 (1995) 273; Phys. Rev. D 54 (1996) 1881.
154. [74] S.M. Bilenky et al., Phys. Lett. B 356 (1995) 273; Phys. Rev. D 54 (1996) 1881.
155. [75] J. Pantaleone, Phys. Rev. D 49 (1994) R2152.
156. [76] J. Pantaleone, private communication and Ref. [75].
157. [77] G.L. Fogli and E. Lisi, Phys. Rev. D 52 (1995) 2775.
158. [78] A. Nicolaidis, Phys. Lett. B 200 (1988) 553.
159. [79] F. Dydak et al., Phys. Lett. B 134 (1984) 281.
160. [80] F.D. Murnaghan, The unitary and rotation groups, (Spartan Books, Washington, DC, 1962) p. 7.
161. [81] G.L. Fogli, E. Lisi, A. Marrone and D. Montanino, hep-ph/9711421.