Chiral symmetry and low energy pion-nucleon scattering

Czechoslovak Journal of Physics

Volumn 49, Issue 9, 1999, Pages 1235-1271

  Coon, Sidney A ^a  

^a NEW MEXICO STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033468459     PISSN: 00114626     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022868110424     Document Type: Article

References (98)

1. M. Gell-Mann and M. Lévy: Nuovo Cimento 16 (1960) 705.
2. J.L. Friar, B.F. Gibson, and G.L. Payne: Phys. Rev. C 30 (1984) 1084. B.S. Pudliner, V.R. Pandharipande, J. Carlson, S.C. Pieper, and R.B. Wiringa: Phys. Rev. C 56 (1997) 1720.
3. J.L. Friar, B.F. Gibson, and G.L. Payne: Phys. Rev. C 30 (1984) 1084. B.S. Pudliner, V.R. Pandharipande, J. Carlson, S.C. Pieper, and R.B. Wiringa: Phys. Rev. C 56 (1997) 1720.
4. R.J. Blin-Stoyle and M. Tint: Phys. Rev. 160 (1967) 803.
5. R. Schiavilla et al.: Phys. Rev. C 58 (1998) 1263.
6. G.E. Brown, A.M. Green, and W.J. Gerace: Nucl. Phys. A 115 (1968) 435.
7. G.E. Brown and A.M. Green: Nucl. Phys. A 137 (1969) 1.
8. G.E. Brown: in Few Particle Problems in the Nuclear Interaction (Ed. I. Slaus et al.). North Holland, Amsterdam, 1972, pp. 135-139.
9. S.A. Coon, M.D. Scadron, and B.R. Barrett: Nucl. Phys. A 242 (1975) 467.
10. H.T. Coelho, T.K. Das, and M.R. Robilotta: Phys. Rev C 28 (1983) 1812.
11. M.R. Robilotta and H.T. Coelho: Nucl. Phys. A 460 (1986) 645.
12. S.A. Coon, M.D. Scadron, P.C. McNamee, B.R. Barrett, D.W.E. Blatt, and B.H.J. McKellar: Nucl. Phys. A 317 (1979) 242.
13. B.H. Wilde, S.A. Coon, and M.D. Scadron: Phys. Rev. D 18 (1978) 4489.
14. see the review by G. Baym and D.K. Campbell: in Mesons in Nuclei (Ed. M. Rho and D. Wilkenson), North-Holland, Amsterdam, 1979, p. 1033.
15. H. Yabu, S. Nakamura, and K. Kubodera: Phys. Lett. B 317 (1993) 269. H. Yabu, F. Myhrer, and K. Kubodera: Phys. Rev. D 50 (1995) 3549.
16. H. Yabu, S. Nakamura, and K. Kubodera: Phys. Lett. B 317 (1993) 269. H. Yabu, F. Myhrer, and K. Kubodera: Phys. Rev. D 50 (1995) 3549.
17. V. Thorsson and A. Wirzba: Nucl. Phys. A 589 (1995) 633.
18. G.E. Brown: Comments on Nucl. and Part. Phys. 4 (1970) 140. G.E. Brown and J.W. Durso: Phys. Lett. B 35 (1971) 120.
19. G.E. Brown: Comments on Nucl. and Part. Phys. 4 (1970) 140. G.E. Brown and J.W. Durso: Phys. Lett. B 35 (1971) 120.
20. C. Ordǒñez and U. van Kolck: Phys. Lett. B 291 (1992) 459.
21. J.L. Friar and S.A Coon: Phys. Rev. C 49 (1994) 1272.
22. These lectures comprise the first two chapters of Current Algebra and Anomalies (Ed. S.B. Treiman, R. Jackiw, B. Zumino, and E. Witten), Princeton, Princeton, 1985.
23. R. Delbourgo, D. Liu, and M.D. Scadron, hep-ph/9905501.
24. D.K. Campbell: Phys. Rev. C 19 (1979) 1965.
25. S. Weinberg: Physica A 96 (1979) 327.
26. S. Weinberg: Phys. Rev. Lett. 17 (1966) 616.
27. Contrast the philosophy of footnote 7 of S. Weinberg: Phys. Rev. 166 (1968) 1568 with the essay "What is quantum field theory and what did we think it is?" by S. Weinberg in Conceptual Foundations of Quantum Field Theory (Ed. Tian Yu Cao), Cambridge University Press, Cambridge, 1998, hep-th/9702027.
28. Contrast the philosophy of footnote 7 of S. Weinberg: Phys. Rev. 166 (1968) 1568 with the essay "What is quantum field theory and what did we think it is?" by S. Weinberg in Conceptual Foundations of Quantum Field Theory (Ed. Tian Yu Cao), Cambridge University Press, Cambridge, 1998, hep-th/9702027.
29. G. Ecker and Ulf-G. Meissner: Comm. Nucl. Part. Phys. 21 (1995) 347.
30. H.B. O'Connell, K. Maltman, A.W. Thomas, and A.G. Williams: hep-ph/9707404.
31. A.A. Bel'kov, A.V. Lanyov, and S. Scherer: J. Phys. G 22 (1996) 1383.
32. M. Mojžíš: Eur. Phys. J. C 2 (1998) 181.
33. S. Weinberg: Phys. Lett. B 251 (1990) 288; Nucl. Phys. B 363 (1991) 3; Phys. Lett. B 295 (1992) 114.
34. S. Weinberg: Phys. Lett. B 251 (1990) 288; Nucl. Phys. B 363 (1991) 3; Phys. Lett. B 295 (1992) 114.
35. S. Weinberg: Phys. Lett. B 251 (1990) 288; Nucl. Phys. B 363 (1991) 3; Phys. Lett. B 295 (1992) 114.
36. D.K. Campbell: in Nuclear Physics with Heavy Ions and mesons (Ed. by R. Balian, M. Rho, and G. Ripka), North-Holland, Amsterdam, 1978, p. 581.
37. M. Kirchbach: Czech. J. Phys. 43 (1993) 319.
38. see also N. Byers: E. Noether's discovery of the deep connection between symmetries and conservation laws, physics/9807044.
39. 6)
40. U. van Kolck, nucl-th/9902015; see also Low Energy Effective Theories and QCD (Ed. D.-P. Min), Man Lim Won, Seoul, 1995 and Thesis, University of Texas, 1993.
41. U. van Kolck, nucl-th/9902015; see also Low Energy Effective Theories and QCD (Ed. D.-P. Min), Man Lim Won, Seoul, 1995 and Thesis, University of Texas, 1993.
42. J.L. Friar: Few-Body Syst. 22 (1997) 161.
43. T.W.B. Kibble: Phys. Rev. 117 (1960) 1159. For a derivation in the contemporary Mandelstam variables see H.M. Pilkuhn: Relativistic Particle Physics, Springer-Verlag, New York, 1979, p. 269.
44. T.W.B. Kibble: Phys. Rev. 117 (1960) 1159. For a derivation in the contemporary Mandelstam variables see H.M. Pilkuhn: Relativistic Particle Physics, Springer-Verlag, New York, 1979, p. 269.
45. G. Höhler: in Landolt-Börnsteiri, Vol. 9 b2: Pion-Nucleon Scattering (Ed. H. Schopper), Springer, Berlin, 1983.
46. M.D. Scadron: Advanced Quantum Theory and Its Applications Through Feynman Diagrams, Springer-Verlag, Berlin, 1990.
47. Y. Nambu: Phys. Rev. 117 (1960) 648; Phys. Rev. Lett. 4 (1960) 380.
48. Y. Nambu: Phys. Rev. 117 (1960) 648; Phys. Rev. Lett. 4 (1960) 380.
49. S. Coleman: Aspects of Symmetry. Cambridge University Press, Cambridge, 1985.
50. 7)
51. Particle Data Group, C. Caso et al.: Euro. Phys. J. C 3 (1998) 1.
52. 8)
53. E.G. Adelberger et al.: Rev. Mod. Phys. 70 (1998) 1265.
54. M.M. Pavan and R.A. Arndt: πN Newsletter (1997), No. 13, 165 (Eds. D. Drechsel et al.).
55. J.J. de Swart, M.C.M. Rentmeester, and R.G.E. Timmermans: πN Newsletter (1997), No. 13, 96 (Eds. D. Drechsel et al.).
56. S.A. Coon and M.D. Scadron: πN Newsletter (1991), No. 3, 90 (Eds. R.E. Cutkosky et al.); Phys. Rev. C 42 (1990) 2256; 23 (1981) 1150.
57. S.A. Coon and M.D. Scadron: πN Newsletter (1991), No. 3, 90 (Eds. R.E. Cutkosky et al.); Phys. Rev. C 42 (1990) 2256; 23 (1981) 1150.
58. S.A. Coon and M.D. Scadron: πN Newsletter (1991), No. 3, 90 (Eds. R.E. Cutkosky et al.); Phys. Rev. C 42 (1990) 2256; 23 (1981) 1150.
59. B. Loiseau, T.E.O. Ericson, J. Rahm, J. Blomgren and N. Olsson: πN Newsletter (1997), No. 13, 117 (Eds. D. Drechsel et al.).
60. S.L. Adler and Dothan: Phys. Rev. 151 (1976) 1267.
61. F.E. Low: Phys. Rev. 110 (1958) 974.
62. S. L. Adler: Phys. Rev. B 137(1965) 1022.
63. R.A. Arndt, R.L. Workman, I.I. Strakovsky, and M.M. Pavan: nucl-th/9807087; see also Ref. 45.
64. R.A. Arndt, R.L. Workman, I.I. Strakovsky, and M.M. Pavan: nucl-th/9807087; see also Ref. 45.
65. W.B. Kaufmann, G.E. Hite, and R.J. Jacob: πN Newsletter (1997), No. 13, 16 (Eds. D. Drechsel et al.). W.B. Kaufmann and G.E. Hite, submitted to Phys. Rev. D.
66. W.B. Kaufmann, G.E. Hite, and R.J. Jacob: πN Newsletter (1997), No. 13, 16 (Eds. D. Drechsel et al.). W.B. Kaufmann and G.E. Hite, submitted to Phys. Rev. D.
67. VPI phase-shift analysis SM98, courtesy of R.A. Arndt. Internet access is through http://clsaid.phys.vt.edu/ CAPS/.
68. S.A. Coon and M.D. Scadron: J. Phys. G: Nucl. Phys. 18 (1992) 1923.
69. P. Mergell, U.-G. Meissner and D. Drechsel: Nucl. Phys. A 596 (1996) 367.
70. S.L. Adler: Phys. Rev. 140 (1965) B736; W.I. Weisberger: Phys. Rev. 143 (1966) 1302.
71. S.L. Adler: Phys. Rev. 140 (1965) B736; W.I. Weisberger: Phys. Rev. 143 (1966) 1302.
72. L.S. Brown, W.J. Pardee, and R.D. Peccei: Phys. Rev. D 4 (1971) 2801.
73. T.P. Cheng and R. Dashen: Phys. Rev. Lett. 26 (1971) 594.
74. G. Höhler, H. Jakob, and R. Strauss: Nucl. Phys. B 39 (1972) 237.
75. M.D. Scadron and L.R. Thebaud: Phys. Rev. D 9 (1974) 1544. M.D. Scadron: Few Body Dynamics (Eds. A.N. Mitra, I. Slaus, V.S. Bhasin, and V.K. Gupta), North Holland, Amsterdam, 1976, p. 325.
76. M.D. Scadron and L.R. Thebaud: Phys. Rev. D 9 (1974) 1544. M.D. Scadron: Few Body Dynamics (Eds. A.N. Mitra, I. Slaus, V.S. Bhasin, and V.K. Gupta), North Holland, Amsterdam, 1976, p. 325.
77. M.G. Olsson and E.T. Osypowski: Nucl. Phys. B 101 (1975) 136.
78. G.E. Hite, R.J. Jacob, and F. Steiner: Phys. Rev. D 6 (1972) 3333. G.E. Hite, R.J. Jacob, and M.D. Scadron: Phys. Rev. D 14 (1976) 1306.
79. G.E. Hite, R.J. Jacob, and F. Steiner: Phys. Rev. D 6 (1972) 3333. G.E. Hite, R.J. Jacob, and M.D. Scadron: Phys. Rev. D 14 (1976) 1306.
80. G. Höhler: in Chiral Dynamics: Theory and Experiment (Eds. A.M. Bernstein and B.R. Holstein), Springer-Verlag, Berlin, 1994.
81. D.P. Murphy and S.A. Coon: Few-Body Systems 18 (1995) 73.
82. G.H. Wagner: Czech. J. Phys. 49 (1999) 1383 (this issue). H.J. Leisi: Preprint ETHZ-IPP PR-98-11, December 1998.
83. G.H. Wagner: Czech. J. Phys. 49 (1999) 1383 (this issue). H.J. Leisi: Preprint ETHZ-IPP PR-98-11, December 1998.
84. R. Müller, G.E. Hite, and R.J. Jacob: Z. Phys. C 8 (1981) 199. G.E. Hite and R.J. Jacob: Nucl. Phys. 134 (1978) 291.
85. R. Müller, G.E. Hite, and R.J. Jacob: Z. Phys. C 8 (1981) 199. G.E. Hite and R.J. Jacob: Nucl. Phys. 134 (1978) 291.
86. M. Kermani, O. Patarakin, G.R. Smith, et al.: Phys. Rev. C 58 (1998) 3431.
87. M.E. Sainio: in Proc. of MENU97, Vancouver, July 28-Aug 1, 1997. πN Newsletter (1997), No. 13, 144 (Eds. D. Drechsel et al.).
88. M.E. Sainio: in Proc. of MENU97, Vancouver, July 28-Aug 1, 1997. πN Newsletter (1997), No. 13, 144 (Eds. D. Drechsel et al.).
89. G.H. Wagner: in Proc. of MENU97, Vancouver, July 28-Aug 1, 1997. πN Newsletter (1997), No. 13, 385 (Eds. D. Drechsel et al.). The original contributions concerning the sigma term are also in this issue.
90. G.H. Wagner: in Proc. of MENU97, Vancouver, July 28-Aug 1, 1997. πN Newsletter (1997), No. 13, 385 (Eds. D. Drechsel et al.). The original contributions concerning the sigma term are also in this issue.
91. H. Osborn: Nucl. Phys. B 15 (1970) 501.
92. L.F. Li and H. Pagels: Phys. Rev. Lett. 27 (1971) 1089.
93. 9)
94. H. Schnitzer: Phys. Rev. D 5 (1972) 1482. H.F. Jones and M.D. Scadron: Phys. Rev. D 11 (1975) 174.
95. H. Schnitzer: Phys. Rev. D 5 (1972) 1482. H.F. Jones and M.D. Scadron: Phys. Rev. D 11 (1975) 174.
96. C. Beltran and S.A. Coon, work in progress.
97. Bill Kaufmann, private communication.
98. J.L. Friar, D. Hüber, and U. van Kolck: Phys. Rev. C 54 (1999) 53.