Path-integral hadronization for the nucleon and its interactions

Physical Review C - Nuclear Physics

Volumn 66, Issue 2, 2002, Pages 252061-2520613

  Abu Raddad, Laith J ^a   Hosaka, A ^a   Ebert, D ^a   Toki, H ^a  

^a OSAKA UNIVERSITY   (Japan)

Author keywords

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Indexed keywords

EID: 4344680835     PISSN: 05562813     EISSN: 1089490X     Source Type: Journal    
DOI: 10.1103/PhysRevC.66.025206     Document Type: Article

References (77)

1. S. Weinberg, Phys. Rev. Lett. 18, 188 (1967).
2. J.W.S. Coleman and B. Zumino, Phys. Rev. 177, 2239 (1969).
3. J.W.C. Callan, S. Coleman, and B. Zumino, Phys. Rev. 177, 2247 (1969).
4. D. Ebert and M. Volkov, Fortschr. Phys. 29, 35 (1981).
5. Y. Nambu and G. Jona-Lasinio, Phys. Rev. 122, 345 (1961); 124, 246 (1961).
6. Y. Nambu and G. Jona-Lasinio, Phys. Rev. 122, 345 (1961); 124, 246 (1961).
7. D. Ebert and H. Reinhardt, Nucl. Phys. B271, 188 (1986), and references therein.
8. M. Ida and R. Kobayashi, Prog. Theor. Phys. 36, 846 (1966).
9. D. Lichtenberg et al., Phys. Rev. 167, 1535 (1968).
10. U. Vogl and W. Weise, Prog. Part. Nucl. Phys. 27, 195 (1991).
11. M. Anselmino, E. Predazzi, S. Ekelin, S. Fredriksson, and D.B. Lichtenberg, Rev. Mod. Phys. 65, 1199 (1993).
12. Diquarks, Turin, Italy, 1988, edited by M. Anselmino and E. Predazzi (World Scientific, Singapore, 1989).
13. A. Donnachie and P.V. Landshoff, Phys. Lett. 95B, 437 (1980).
14. F.E. Close and R.G. Roberts, Z. Phys. C 8, 57 (1981).
15. S. Fredriksson, M. Jandel, and T. Larsson, Z. Phys. C 14, 35 (1982).
16. P. Kroll, M. Schurmann, and W. Schweiger, Z. Phys. A 338, 339 (1991).
17. B. Stech, Phys. Rev. D 36, 975 (1987).
18. M. Neubert and B. Stech, Phys. Rev. D 44, 775 (1991).
19. L. Faddeev, Zh. Eksp. Teor. Fiz. 39, 1459 (1961) [Sov. Phys. JETP 12, 1014 (1961)].
20. R. Alkofer, H. Reinhardt, H. Weigel, and U. Zuckert, Phys. Rev. Lett. 69, 1874 (1992).
21. N. Ishii, W. Bentz, and K. Yazaki, Phys. Lett. B 318, 26 (1993).
22. N. Ishii, W. Bentz, and K. Yazaki, Phys. Lett. B 301, 165 (1993).
23. H. Meyer, Phys. Lett. B 337, 37 (1994).
24. G. Hellstern and C. Weiss, Phys. Lett. B 351, 64 (1995).
25. E.E. Salpeter, Phys. Rev. 87, 328 (1952).
26. V. Keiner, Z. Phys. A 354, 87 (1996).
27. V. Keiner, Phys. Rev. C 54, 3232 (1996).
28. E.E. Salpeter and H.A. Bethe, Phys. Rev. 84, 1232 (1951).
29. G. Hellstern, R. Alkofer, M. Oettel, and H. Reinhardt, Nucl. Phys. A627, 679 (1997).
30. M. Oettel, G. Hellstern, R. Alkofer, and H. Reinhardt, Phys. Rev. C 58, 2459 (1998).
31. J.D. Walecka, Ann. Phys. (N.Y.) 83, 491 (1974).
32. B.D. Serot and J.D. Walecka, Adv. Nucl. Phys. 16, 1 (1986).
33. I. Ichinose, T. Matsui, and M. Onoda, Phys. Rev. B 64, 104516 (2001).
34. R. Cahill, Aust. J. Phys. 42, 171 (1989).
35. H. Reinhardt, Phys. Lett. B 244, 316 (1990).
36. D. Ebert and L. Kaschluhn, Phys. Lett. B 297, 367 (1992).
37. D. Ebert, T. Feldmann, C. Kettner, and H. Reinhardt, Z. Phys. C 71, 329 (1996).
38. D. Ebert, T. Feldmann, C. Kettner, and H. Reinhardt, Int. J. Mod. Phys. A 13, 1091 (1998).
39. D. Ebert and T. Jurke, Phys. Rev. D 58, 034001 (1998).
40. R.T. Cahill, C.D. Roberts, and J. Praschifka, Phys. Rev. D 36, 2804 (1987).
41. U. Vogl, Z. Phys. A 337, 191 (1990).
42. H. Mineo, W. Bentz, N. Ishii, and K. Yazaki, nucl-th/0201082.
43. T. Hatsuda and T. Kunihiro, Phys. Rep. 247, 221 (1994), and references therein.
44. D. Ebert, H. Reinhardt, and M.K. Volkov, Prog. Part. Nucl. Phys. 33, 1 (1994).
45. N. Kawamoto and J. Smit, Nucl. Phys. B192, 100 (1981).
46. A.A. Andrianov, V.A. Andrianov, V.Y. Novozhilov, and Y.V. Novozhilov, Phys. Lett. B 186, 401 (1987).
47. R.D. Ball, Int. J. Mod. Phys. A 5, 4391 (1990).
48. H. Reinhardt, Phys. Lett. B 257, 375 (1991).
49. J. Bijnens, C. Bruno, and E. de Rafael, Nucl. Phys. B390, 501 (1993).
50. M. Schaden, H. Reinhardt, P.A. Amundsen, and M.J. Lavelle, Nucl. Phys. B339, 595 (1990).
51. M. Gockeler et al., Nucl. Phys. B334, 527 (1990).
52. A.A. Belkov, D. Ebert, and A.V. Emelyanenko, Nucl. Phys. A552, 523 (1993).
53. R.L. Stratonovich, Sov. Phys. Dokl. 2, 416 (1958).
54. J. Hubbard, Phys. Rev. Lett. 3, 77 (1959).
55. D. Espriu, P. Pascual, and R. Tarrach, Nucl. Phys. B214, 285 (1983).
56. W. Greiner and A. Schaefer, Quantum Chromodynamics (Springer, Berlin, Germany, 1994), p. 414.
57. A. Hosaka and H. Toki, Quarks, Baryons and Chiral Symmetry (World Scientific, Singapore, 2001), p. 88.
58. E. Witten, Nucl. Phys. B160, 57 (1979).
59. A. Hosaka and H. Toki, Quarks, Baryons and Chiral Symmetry (World Scientific, Singapore, 2001), p. 250.
60. O. Dumbrajs et al., Nucl. Phys. B216, 277 (1983).
61. Particle Data Group, D.E. Groom et al., Eur. Phys. J. C 15, 1 (2000).
62. Z. Dziembowski, W.J. Metzger, and R.T. Van de Walle, Z. Phys. C 10, 231 (1981).
63. G. Höhler et al., Nucl. Phys. B114, 505 (1976).
64. C. Weiss, A. Buck, R. Alkofer, and H. Reinhardt, Phys. Lett. B 312, 6 (1993).
65. T. Eden et al., Phys. Rev. C 50, 1749 (1994).
66. E.E.W. Bruins et al., Phys. Rev. Lett. 75, 21 (1995).
67. M. Ostrick et al., Phys. Rev. Lett. 83, 276 (1999).
68. D. Rohe et al., Phys. Rev. Lett. 83, 4257 (1999).
69. E93026 Group, H. Zhu et al., Phys. Rev. Lett. 87, 081801 (2001).
70. H. Anklin et al., Phys. Lett. B 336, 313 (1994).
71. H. Anklin et al., Phys. Lett. B 428, 248 (1998).
72. J. Golak, G. Ziemer, H. Kamada, H. Witala, and W. Glockle, Phys. Rev. C 63, 034006 (2001).
73. W. Xu et al., Phys. Rev. Lett. 85, 2900 (2000).
74. G. Kubon et al., Phys. Lett. B 524, 26 (2002).
75. The chiral rotation of Eq. (9) induces anomalous terms as the phase of the integral measure. In this paper, we are concerned only with the nonanomalous processes.
76. If we work with the current quark field q, that is, in the linear representation of chiral symmetry, a vector-isoscalar diquark is necessary as a chiral partner of the axial-vector-isovector one.
77. π→0), the pion contribution to the isovector charge radius diverges.