Relation between scattering and production amplitudes - Concerning σ particle in ππ system -

Progress of Theoretical Physics

Volumn 99, Issue 6, 1998, Pages 1031-1044

  Ishida, Muneyuki ^a   Ishida, Shin ^b   Ishida, Taku ^c  

^a UNIVERSITY OF TOKYO   (Japan)

^b NIHON UNIVERSITY   (Japan)

^c HIGH ENERGY ACCELERATOR RESEARCH ORGANIZATION KEK   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032375481     PISSN: 0033068X     EISSN: None     Source Type: Journal    
DOI: 10.1143/PTP.99.1031     Document Type: Article

References (82)

1. Y. Nambu and G. Jona-Lasinio, Phys. Rev. 122 (1961), 345.
2. T. Hatsuda and T. Kunihiro, Prog. Theor. Phys. 74 (1985), 765; Phys. Rep. 247 (1994), 221. T. Kunihiro and T. Hatsuda, Phys. Lett. B206 (1988), 385. T. Kunihiro, Prog. Theor. Phys. Suppl. No. 120 (1995), 75.
3. T. Hatsuda and T. Kunihiro, Prog. Theor. Phys. 74 (1985), 765; Phys. Rep. 247 (1994), 221. T. Kunihiro and T. Hatsuda, Phys. Lett. B206 (1988), 385. T. Kunihiro, Prog. Theor. Phys. Suppl. No. 120 (1995), 75.
4. T. Hatsuda and T. Kunihiro, Prog. Theor. Phys. 74 (1985), 765; Phys. Rep. 247 (1994), 221. T. Kunihiro and T. Hatsuda, Phys. Lett. B206 (1988), 385. T. Kunihiro, Prog. Theor. Phys. Suppl. No. 120 (1995), 75.
5. T. Hatsuda and T. Kunihiro, Prog. Theor. Phys. 74 (1985), 765; Phys. Rep. 247 (1994), 221. T. Kunihiro and T. Hatsuda, Phys. Lett. B206 (1988), 385. T. Kunihiro, Prog. Theor. Phys. Suppl. No. 120 (1995), 75.
6. D. Ebert and M. K. Volkov, Z. Phys. C16 (1983), 205. M. K. Volkov, Ann. of Phys. 157 (1984), 282.
7. D. Ebert and M. K. Volkov, Z. Phys. C16 (1983), 205. M. K. Volkov, Ann. of Phys. 157 (1984), 282.
8. M. Takizawa, K. Tsushima, Y. Kohyama and K. Kubodera, Nucl. Phys. A507 (1990), 611.
9. S. Klimt, M. Lutz, U. Vogl and W. Weise, Nucl. Phys. A516 (1990), 429.
10. J. Schwinger, Ann. of Phys. 2 (1957), 407. M. Gell-Mann and M. Lévi, Nuovo Cim. A16 (1960), 705.
11. J. Schwinger, Ann. of Phys. 2 (1957), 407. M. Gell-Mann and M. Lévi, Nuovo Cim. A16 (1960), 705.
12. G. Kramer, Phys. Rev. 177 (1968), 2515.
13. J. L. Basdevant and B. W. Lee, Phys. Rev. D2 (1970), 1680.
14. L. H. Chan and R. W. Haymaker, Phys. Rev. D7 (1973), 402; 10 (1974), 4143, 4170.
15. L. H. Chan and R. W. Haymaker, Phys. Rev. D7 (1973), 402; 10 (1974), 4143, 4170.
16. M. Taketani et al., Prog. Theor. Phys. Suppl. No. 39 (1967), Chapter 3 (S. Ogawa et al., p. 140). N. Hoshizaki et al., Prog. Theor. Phys. 27 (1962), 1199. S. Sawada, T. Ueda, W. Watari and M. Yonezawa, Prog. Theor. Phys. 28 (1962), 991. M. Matsuda and S. Sawada, Prog. Theor. Phys. 31 (1964), 804. R. A. Bryan, C. Dismukes and W. Ramsay, Nucl. Phys. 45 (1963), 353. R. A. Bryan and B. L. Scott, Phys. Rev. 135 (1964), B434.
17. M. Taketani et al., Prog. Theor. Phys. Suppl. No. 39 (1967), Chapter 3 (S. Ogawa et al., p. 140). N. Hoshizaki et al., Prog. Theor. Phys. 27 (1962), 1199. S. Sawada, T. Ueda, W. Watari and M. Yonezawa, Prog. Theor. Phys. 28 (1962), 991. M. Matsuda and S. Sawada, Prog. Theor. Phys. 31 (1964), 804. R. A. Bryan, C. Dismukes and W. Ramsay, Nucl. Phys. 45 (1963), 353. R. A. Bryan and B. L. Scott, Phys. Rev. 135 (1964), B434.
18. M. Taketani et al., Prog. Theor. Phys. Suppl. No. 39 (1967), Chapter 3 (S. Ogawa et al., p. 140). N. Hoshizaki et al., Prog. Theor. Phys. 27 (1962), 1199. S. Sawada, T. Ueda, W. Watari and M. Yonezawa, Prog. Theor. Phys. 28 (1962), 991. M. Matsuda and S. Sawada, Prog. Theor. Phys. 31 (1964), 804. R. A. Bryan, C. Dismukes and W. Ramsay, Nucl. Phys. 45 (1963), 353. R. A. Bryan and B. L. Scott, Phys. Rev. 135 (1964), B434.
19. M. Taketani et al., Prog. Theor. Phys. Suppl. No. 39 (1967), Chapter 3 (S. Ogawa et al., p. 140). N. Hoshizaki et al., Prog. Theor. Phys. 27 (1962), 1199. S. Sawada, T. Ueda, W. Watari and M. Yonezawa, Prog. Theor. Phys. 28 (1962), 991. M. Matsuda and S. Sawada, Prog. Theor. Phys. 31 (1964), 804. R. A. Bryan, C. Dismukes and W. Ramsay, Nucl. Phys. 45 (1963), 353. R. A. Bryan and B. L. Scott, Phys. Rev. 135 (1964), B434.
20. M. Taketani et al., Prog. Theor. Phys. Suppl. No. 39 (1967), Chapter 3 (S. Ogawa et al., p. 140). N. Hoshizaki et al., Prog. Theor. Phys. 27 (1962), 1199. S. Sawada, T. Ueda, W. Watari and M. Yonezawa, Prog. Theor. Phys. 28 (1962), 991. M. Matsuda and S. Sawada, Prog. Theor. Phys. 31 (1964), 804. R. A. Bryan, C. Dismukes and W. Ramsay, Nucl. Phys. 45 (1963), 353. R. A. Bryan and B. L. Scott, Phys. Rev. 135 (1964), B434.
21. M. Taketani et al., Prog. Theor. Phys. Suppl. No. 39 (1967), Chapter 3 (S. Ogawa et al., p. 140). N. Hoshizaki et al., Prog. Theor. Phys. 27 (1962), 1199. S. Sawada, T. Ueda, W. Watari and M. Yonezawa, Prog. Theor. Phys. 28 (1962), 991. M. Matsuda and S. Sawada, Prog. Theor. Phys. 31 (1964), 804. R. A. Bryan, C. Dismukes and W. Ramsay, Nucl. Phys. 45 (1963), 353. R. A. Bryan and B. L. Scott, Phys. Rev. 135 (1964), B434.
22. M. D. Scadron, Phys. Rev. D26 (1982), 239; hep-ph/9710317. R. Delbourgo and M. D. Scadron, Phys. Rev. Lett. 48 (1982), 379. V. Elias and M. D. Scadron, Phys. Rev. Lett. 53 (1984), 1129; Mod. Phys. Lett. A10 (1995), 251.
23. M. D. Scadron, Phys. Rev. D26 (1982), 239; hep-ph/9710317. R. Delbourgo and M. D. Scadron, Phys. Rev. Lett. 48 (1982), 379. V. Elias and M. D. Scadron, Phys. Rev. Lett. 53 (1984), 1129; Mod. Phys. Lett. A10 (1995), 251.
24. M. D. Scadron, Phys. Rev. D26 (1982), 239; hep-ph/9710317. R. Delbourgo and M. D. Scadron, Phys. Rev. Lett. 48 (1982), 379. V. Elias and M. D. Scadron, Phys. Rev. Lett. 53 (1984), 1129; Mod. Phys. Lett. A10 (1995), 251.
25. M. D. Scadron, Phys. Rev. D26 (1982), 239; hep-ph/9710317. R. Delbourgo and M. D. Scadron, Phys. Rev. Lett. 48 (1982), 379. V. Elias and M. D. Scadron, Phys. Rev. Lett. 53 (1984), 1129; Mod. Phys. Lett. A10 (1995), 251.
26. H. Shimizu, contributed paper on Particle and Nuclei XIII International Conference -PANIC XIII, Perugia, Italy, June 1993.
27. L. S. Celenza, Xiang-Dong Li and C. M. Sharkin, BCCNT 96/121/259; 96/111/258.
28. E. P. Shabalin, Yadern. Fiz. 41 (1985), 260 (Sov. J. Nucl. Phys. 42 (1985), 164); Yadern. Fiz. 48 (1988), 272 (Sov. J. Nucl. Phys. 48 (1988), 172); Yadern. Fiz. 49 (1989), 588 (Sov. J. Nucl. Phys. 49 (1989), 365).
29. E. P. Shabalin, Yadern. Fiz. 41 (1985), 260 (Sov. J. Nucl. Phys. 42 (1985), 164); Yadern. Fiz. 48 (1988), 272 (Sov. J. Nucl. Phys. 48 (1988), 172); Yadern. Fiz. 49 (1989), 588 (Sov. J. Nucl. Phys. 49 (1989), 365).
30. E. P. Shabalin, Yadern. Fiz. 41 (1985), 260 (Sov. J. Nucl. Phys. 42 (1985), 164); Yadern. Fiz. 48 (1988), 272 (Sov. J. Nucl. Phys. 48 (1988), 172); Yadern. Fiz. 49 (1989), 588 (Sov. J. Nucl. Phys. 49 (1989), 365).
31. E. P. Shabalin, Yadern. Fiz. 41 (1985), 260 (Sov. J. Nucl. Phys. 42 (1985), 164); Yadern. Fiz. 48 (1988), 272 (Sov. J. Nucl. Phys. 48 (1988), 172); Yadern. Fiz. 49 (1989), 588 (Sov. J. Nucl. Phys. 49 (1989), 365).
32. E. P. Shabalin, Yadern. Fiz. 41 (1985), 260 (Sov. J. Nucl. Phys. 42 (1985), 164); Yadern. Fiz. 48 (1988), 272 (Sov. J. Nucl. Phys. 48 (1988), 172); Yadern. Fiz. 49 (1989), 588 (Sov. J. Nucl. Phys. 49 (1989), 365).
33. E. P. Shabalin, Yadern. Fiz. 41 (1985), 260 (Sov. J. Nucl. Phys. 42 (1985), 164); Yadern. Fiz. 48 (1988), 272 (Sov. J. Nucl. Phys. 48 (1988), 172); Yadern. Fiz. 49 (1989), 588 (Sov. J. Nucl. Phys. 49 (1989), 365).
34. W. Bentz, L. G. Liu and A. Arima, Ann. of Phys. 188 (1988), 61.
35. T. Morozumi, C. S. Lim and A. I. Sanda, Phys. Rev. Lett. 65 (1990), 404. T. Morozumi, A. I. Sanda and A. Soni, Phys. Rev. D46 (1992), 2240. M. Takizawa, T. Inoue and M. Oka, Prog. Theor. Phys. Suppl. No. 120 (1995), 335.
36. T. Morozumi, C. S. Lim and A. I. Sanda, Phys. Rev. Lett. 65 (1990), 404. T. Morozumi, A. I. Sanda and A. Soni, Phys. Rev. D46 (1992), 2240. M. Takizawa, T. Inoue and M. Oka, Prog. Theor. Phys. Suppl. No. 120 (1995), 335.
37. T. Morozumi, C. S. Lim and A. I. Sanda, Phys. Rev. Lett. 65 (1990), 404. T. Morozumi, A. I. Sanda and A. Soni, Phys. Rev. D46 (1992), 2240. M. Takizawa, T. Inoue and M. Oka, Prog. Theor. Phys. Suppl. No. 120 (1995), 335.
38. N. N. Achasov and G. N. Shestakov, Phys. Rev. D49 (1994), 5779.
39. P. Ko and S. Rudaz, Phys. Rev. D50 (1994), 6877.
40. + Nonet", Proc. of Argonne conf. 1975, p. 45.
41. Y. Fujii and M. Fukugita, Nucl. Phys. B85 (1975), 179.
42. K. L. Au, D. Morgan and M. R. Pennington, Phys. Rev. D35 (1987), 1633.
43. D. Morgan and M. R. Pennington, Phys. Rev. D48 (1993), 1185.
44. V. V. Anisovich, A. A. Kondashov, Yu. D. Prokoshkin, S. A. Sadovsky and A. V. Sarantsev, Phys. Lett. B355 (1995), 363.
45. G. Mennessier, Z. Phys. C16 (1983), 241. S. Minami, Prog. Theor. Phys. 81 (1989), 1064.
46. G. Mennessier, Z. Phys. C16 (1983), 241. S. Minami, Prog. Theor. Phys. 81 (1989), 1064.
47. E. Beveren, T. A. Rijken, K. Metzger, C. Dullemond, G. Rupp and J. E. Ribeiro, Z. Phys. C30 (1986), 615.
48. M. Svec, A de Lesquen and L. van Rossum, Phys. Rev. D46 (1992), 949.
49. B. S. Zou and D. V. Bugg, Phys. Rev. D48 (1993), R3948; Phys. Rev. D50 (1994), 591.
50. B. S. Zou and D. V. Bugg, Phys. Rev. D48 (1993), R3948; Phys. Rev. D50 (1994), 591.
51. G. Grayer et al., Nucl. Phys. B75 (1974), 189. B. Hyams et al., Nucl. Phys. B64 (1973), 134.
52. G. Grayer et al., Nucl. Phys. B75 (1974), 189. B. Hyams et al., Nucl. Phys. B64 (1973), 134.
53. D. Aide et al., Phys. Lett. B397 (1997), 350.
54. T. Ishida, in Proceedings of Int. Conf. Hadron '95, Manchester UK, July 1995 (World Scientific, Singapore), p. 451.
55. T. Ishida, Doctor thesis, "On Existence of σ(555) Particle - Study in pp central collision reaction and Re-analysis of ππ-scattering phase shift -," Univ. of Tokyo (1996); KEK Report 97-8 (1997).
56. T. Ishida, Doctor thesis, "On Existence of σ(555) Particle - Study in pp central collision reaction and Re-analysis of ππ-scattering phase shift -," Univ. of Tokyo (1996); KEK Report 97-8 (1997).
57. J. E. Augstin et al., Nucl. Phys. B320 (1989), 1.
58. M. R. Pennington, in Proceedings of Int. Conf. Hadron '95, Manchester UK, July 1995 (World Scientific, Singapore), p. 3.
59. S. Ishida, M. Y. Ishida, H. Takahashi, T. Ishida, K. Takamatsu and T. Tsuru, Prog. Theor. Phys. 95 (1996), 745.
60. S. Ishida, T. Ishida, M. Y. Ishida, K. Takamatsu and T. Tsuru, Prog. Theor. Phys. 98 (1997), 1005.
61. R. Kamiński, L. Leśniak and J.-P. Maillet, Phys. Rev. D50 (1994), 3145.
62. N. A. Törnqvist, Z. Phys. C68 (1995), 647. N. A. Törnqvist and M. Roos, Phys. Rev. Lett. 76 (1996), 1575.
63. N. A. Törnqvist, Z. Phys. C68 (1995), 647. N. A. Törnqvist and M. Roos, Phys. Rev. Lett. 76 (1996), 1575.
64. M. Harada and F. Sannino and J. Schechter, Phys. Rev. D54 (1996), 1991.
65. Review of Particle Properties, Phys. Rev. D54 (1996), 1.
66. M. Y. Ishida, Prog. Theor. Phys. 96 (1996), 853.
67. Plenary talk of S. Ishida on "On Existence of σ(600)-Particle - Its Physical Implications and Related Problems -", Int. Conf. on Hadron '97, Brookhaven National Laboratory, hep-ph/9712229, to be published.
68. S. Ishida, M. Y. Ishida, T. Ishida, K. Takamatsu and T. Tsuru, hep-ph/9712230, to be published in Proc. of Int. Conf. on Hadron '97.
69. M. Y. Ishida and S. Ishida, hep-ph/9712231, to be published in Proc. of Int. Conf. on Hadron '97.
70. K. Takamatsu, M. Y. Ishida, S. Ishida, T. Ishida and T. Tsuru, hep-ph/9712232, to be published in Proc. of Int. Conf. on Hadron '97.
71. M. Y. Ishida, S. Ishida and T. Ishida, hep-ph/9712233, to be published in Proc. of Int. Conf. on Hadron '97.
72. S. Ishida, M. Oda, H. Sawazaki and K. Yamada, Prog. Theor. Phys. 88 (1992), 89.
73. K. M. Watson, Phys. Rev. 95 (1954), 228.
74. I. J. L. Aitchson, Nucl. Phys. A189 (1972), 417.
75. S. U. Chung et al., Ann. der Phys. 4 (1995), 404.
76. L. Rosenfeld, Acta Phys. Polon. A38 (1970), 603.
77. M. R. Pennington, hep-ph/9710456.
78. M. Y. Ishida, S. Ishida and T. Ishida, hep-ph/9802272.
79. T. A. Armstrong et al., Z. Phys. C51 (1991), 341.
80. C. Amsler et al., Phys. Lett. B355 (1995), 425, 433.
81. T. Akesson et al., Nucl. Phys. B264 (1986), 154.
82. H. Yoshino, J. Nagata, M. Matsuda, N. Hiroshige and T. Ueda, Prog. Theor. Phys. 95 (1996), 353.