Dynamical generation of linear σ model SU(3) Lagrangian and meson nonet mixing

International Journal of Modern Physics A

Volumn 13, Issue 4, 1998, Pages 657-676

  Delbourgo, R ^a   Scadron, M D ^a,b  

^a UNIVERSITY OF TASMANIA   (Australia)

^b University of Arizona   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0009241336     PISSN: 0217751X     EISSN: None     Source Type: Journal    
DOI: 10.1142/s0217751x98000299     Document Type: Article

References (66)

1. R. Delbourgo and M. D. Scadron, Mod. Phys. Lett. A10, 251 (1995).
2. q, but in fact these results are regularization independent. See R. Delbourgo, M. D. Scadron and A. A. Rawlinson, "Regularizing the quark-level linear σ model," submitted to Int. J. Math. Phys. A.
3. See, e.g., P. Estabrooks, Phys. Rev. D19, 2678 (1979);
4. N. Biswas et al., Phys. Rev. Lett. 47, 1378 (1981);
5. T. Akesson et al., Phys. Lett. B133, 241 (1983);
6. N. Cason et al., Phys. Rev. D28, 1586 (1983);
7. A. Courau et al., Nucl. Phys. B271, 1 (1986);
8. DM2 Collaboration (J. Augustin et al.), Nucl. Phys. B320, 1 (1989);
9. M. Svec, Phys. Rev. D53, 2343 (1996);
10. N. A. Tornquist and M. Roos, Phys. Rev. Lett. 76, 1575 (1996).
11. Particle Data Group (R. M. Barnett et al.), Phys. Rev. D54 Part I, 1 (1996).
12. M. Svec et al., Phys. Rev. D45, 55, 1518 (1992);
13. M. Svec et al., Phys. Rev. D53, 2343 (1996).
14. S. Weinberg, Phys. Rev. Lett. 65, 1177 (1990).
15. D. Morgan and M. R. Pennington, Z. Phys. C48, 623 (1990);
16. Phys. Lett. B258, 444 (1991);
17. Phys. Rev. D48, 1185 (1993).
18. M. Gell-Mann and M. Lévy, Nuovo Cimento 16, 705 (1960);
19. also see V. DeAlfaro, S. Fubini, G. Furlan and C. Rossetti, Currents in Hadron Physics (North-Holland, Amsterdam, 1973) Chap. 5;
20. more recently see P. Ko and S. Rudaz, Phys. Rev. D50, 6877 (1994).
21. M. Lévy, Nuovo Cimento A52, 23 (1967);
22. S. Gasiorowicz and D. Geffen, Rev. Mod. Phys. 41, 531 (1969).
23. T. Hakioglu and M. D. Scadron, Phys. Rev. D42, 941 (1990);
24. T. Hakioglu and M. D. Scadron, Phys. Rev. D43, 2439 (1991);
25. M. D. Scadron, Mod. Phys. Lett. A7, 497 (1992).
26. Y. Nambu and G. Jona-Lasinio, Phys. Rev. 122, 345 (1961) (NJL).
27. J. J. Sakurai, Ann. Phys. 11, 1 (1960).
28. K. Kawarabayashi and M. Suzuki, Phys. Rev. Lett. 16, 255 (1966);
29. Riazuddin and Fayyazuddin, Phys. Rev. 147, 1071 (1966) (KSRF).
30. P. Pascual and R. Tarrach, Nucl. Phys. 146, 509 (1978);
31. A. Bramon and M. D. Scadron, Europhys. Lett. 19, 663 (1992).
32. Crystal Ball Collaboration (H. Mariske et al.), Phys. Rev. D41, 3324 (1990).
33. S. Deakin, V. Elias, D. McKeon, M. D. Scadron and A. Bramon, Mod. Phys. Lett. A9, 995 (1994).
34. G. Clement and J. Stern, Phys. Lett. B231, 471 (1989).
35. J. A. McGovern and M. C. Birse, Nucl. Phys. A506, 367 (1990).
36. S. Gerosimov, Sov. J. Nucl. Phys. 29, 259 (1979);
37. R. Delbourgo and M. D. Scadron, J. Phys. G5, 1621 (1979).
38. M. D. Scadron, Repts. Prog. Phys. 44, 213 (1981);
39. π ≈ 93 MeV.
40. A. De Rújula, H. Georgi and S. Glashow, Phys. Rev. D12, 147 (1975);
41. R. Delbourgo and D. Liu, Phys. Rev. D53, 6576 (1996).
42. C. Ayala and A. Bramon, Euro. Phys. Lett. 4, 777 (1987) and references therein.
43. A. Bramon and M. D. Scadron, Phys. Rev. D40, 3779 (1989).
44. A. Salam, Nuovo Cimento 25, 224 (1962);
45. S. Weinberg, Phys. Rev. 130, 776 (1962).
46. M. D. Scadron, Mod. Phys. Lett. A7, 669 (1992).
47. A. Ivanov, M. Nagy and M. D. Scadron, Phys. Lett. B273, 137 (1991).
48. H. F. Jones and M. D. Scadron, Nucl. Phys. B155, 409 (1979);
49. M. D. Scadron, Phys. Rev. D29, 2079 (1984).
50. A. Bramon and M. D. Scadron, Phys. Lett. B234, 346 (1990);
51. see also N. Isgur, Phys. Rev. D12, 3770 (1975).
52. Since the diagonalization of the 2 × 2 mass matrix in (31) is really a quantum-mechanical (and not a field-theoretical) procedure, we suggest that a "dynamical fit" in terms of external LσM states and internal QCD states is a consistent approach.
53. R. Delbourgo and M. D. Scadron, Phys. Rev. D28, 2345 (1983);
54. S. R. Choudhury and M. D. Scadron, Mod. Phys. Lett. A1, 535 (1986).
55. S. L. Adler, Phys. Rev. 177, 2426 (1969);
56. J. S. Bell and R. Jackiw, Nuovo Cimento 60, 47 (1969) (ABJ).
57. J. Steinberger, Phys. Rev. 76, 1180 (1949).
58. Particle Data Group (L. Montanet et al.), Phys. Rev. D50 Part I, 1173 (1994).
59. M. D. Scadron, Phys. Rev. D26, 239 (1982).
60. R. L. Jaffe, Phys. Rev. D15, 267, 281 (1977).
61. T. A. Armstrong et al., Z. Phys. C52, 389 (1991).
62. J. Weinstein and N. Isgur, Phys. Rev. Lett. 48, 659 (1982).
63. N. N. Achasov and G. N. Shestakov, Z. Phys. C41, 309 (1988).
64. See e.g. J. Schechter and Y. Ueda, Phys. Rev. D3, 2874 (1971).
65. See e.g. P. Estabrooks, Ref. 2, N. Cason et al., Ref. 2; DM2 Collaboration Ref. 2 and M. Svec et al., Ref. 4.
66. L. Baboukhadia, V. Elias and M. D. Scadron, "Linkage between QCD and the linear σ model," submitted for publication (1996).