Bethe-Salpeter approach for unitarized chiral perturbation theory

Nuclear Physics A

Volumn 679, Issue 1, 2000, Pages 57-117

  Nieves, J ^a   Ruiz Arriola, E ^a  

^a UNIVERSITY OF GRANADA   (Spain)

Author keywords

11.10.St; 11.30.Rd; 11.80.Et; 13.75.Lb; 14.40.Aq; 14.40.Cs; Bethe Salpeter equation; Chiral perturbation theory; Resonances; Unitarity; scattering

Indexed keywords

EID: 0002254233     PISSN: 03759474     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9474(00)00321-3     Document Type: Article

References (76)

1. Gasiorowicz S. Elementary Particle Physics. 1966;Wiley, New York.
2. Bernstein A.M., Drechsel D., Walcher T. Chiral Dynamics: Theory and Experiment. Lecture Notes in Physics. 1998;Springer, Berlin.
3. Dobado A., Herrero M.J., Truong T.N. Phys. Lett. B. Vol. 235:1990;134.
4. Einhorn M.B. Nucl. Phys. B. Vol. 246:1984;75.
5. Dobado A., Peláez J.R. Phys. Lett. B. Vol. 286:1992;136.
6. Dobado A., Morales J. Phys. Rev. D. Vol. 52:1995;2878.
7. Dobado A., Peláez J.R. Phys. Rev. D. Vol. 47:1993;4883.
8. Hannah T. Phys. Rev. D. Vol. 54:1996;4648 Phys. Rev. D. Vol. 55:1997;5613.
9. Hannah T. Phys. Rev. D. Vol. 54:1996;4648 Phys. Rev. D. Vol. 55:1997;5613.
10. Borges J.S., Barbosa J.S., Oguri V. Phys. Lett. B. Vol. 393:1997;413.
11. Boglione M., Pennington M.R. Z. Phys. C. Vol. 75:1997;113.
12. Wanders G. Phys. Rev. D. Vol. 56:1997;4328.
13. Ananthanarayan B., Buttiker P. Phys. Lett. B. Vol. 415:1997;402.
14. Ananthanarayan B. Phys. Rev. D. Vol. 58:1998;036002.
15. Oller J.A., Oset E. Nucl. Phys. A. Vol. 620:1997;438.
16. Oller J.A., Oset E., Peláez J.R. Phys. Rev. Lett. Vol. 80:1998;3452 Phys. Rev. D. Vol. 59:1991;074001.
17. Oller J.A., Oset E., Peláez J.R. Phys. Rev. Lett. Vol. 80:1998;3452 Phys. Rev. D. Vol. 59:1991;074001.
18. Bethe H.A., Salpeter E.E. Phys. Rev. Vol. 82:1951;309.
19. Nakanishi N. Suppl. Prog. Theor. Phys. Vol. 43:1969;1.
20. Keister B.D., Polyzou W.N. Adv. Nucl. Phys. Vol. 20:1991;225.
21. J.W. Negele, E. Vogt (Eds.).
22. Nieves J., Ruiz Arriola E. Phys. Lett. B. Vol. 455:1999;30.
23. Bjorken J.D., Drell S.D. Relativistic Quantum Fields. 1965;McGraw-Hill, New York.
24. Beane S.R., Chiu C.B. hep-ph/9303254.
25. Beane S.R., Varma S. Phys. Lett. B. Vol. 313:1993;165.
26. van Kolck U. hep-ph/9711222 Nucl. Phys. A. Vol. 645:1999;273.
27. Beane S.R. Acta Phys. Polon. B. Vol. 29:1998;3161.
28. Kaplan D. nucl-th/9901003. and references therein.
29. Gasser J., Leutwyler H. Ann. Phys. (NY). Vol. 158:1984;142.
30. Gasser J., Meißner U.G. Nucl. Phys. B. Vol. 357:1991;90.
31. Bijnens J., Colangelo G., Talavera P. JHEP. Vol. 9805:1998;014.
32. Riggenbach C., Donoghue J.F., Gasser J., Holstein B.R. Phys. Rev. D. Vol. 43:1991;127.
33. Bijnens J., Colangelo G., Gasser J. Nucl. Phys. B. Vol. 427:1994;427.
34. Protopopescu S.D. et al. Phys. Rev. D. Vol. 7:1973;1279.
35. Hyams B., Jones C., Weilhammer P. Nucl. Phys. B. Vol. 64:1973;134.
36. Ochs W. Thesis. 1973;Ludwig-Maximilians-Universität.
37. Estabrooks P., Martin A.D. Nucl. Phys. B. Vol. 79:1974;301.
38. Srinivasan V. et al. Phys. Rev. D. Vol. 12:1975;681.
39. Rosselet L. et al. Phys. Rev. D. Vol. 15:1977;574.
40. Kaminski R., Lesniak L., Rybicki K. Z. Phys. C. Vol. 74:1997;79.
41. Hoogland W. et al. Nucl. Phys. B. Vol. 126:1977;109.
42. Frogatt C.D., Petersen J.L. Nucl. Phys. B. Vol. 129:1977;89.
43. Donoghue J.F., Golowich E., Holstein B.R. Dynamics of the Standard Model. 1992;Cambridge University Press, Cambridge, UK.
44. Appelquist T., Bernard C. Phys. Rev. D. Vol. 23:1981;425.
45. Namyslowski J.M. Phys. Rev. Vol. 160:1967;1522.
46. Mandelstam S. Phys. Rev. Vol. 112:1958;1344.
47. Weinberg S. Phys. Rev. Lett. Vol. 17:1966;616.
48. Knecht M., Moussallam B., Stern J., Fuchs N.H. Nucl. Phys. B. Vol. 457:1995;513 Nucl. Phys. B. Vol. 471:1996;445.
49. Knecht M., Moussallam B., Stern J., Fuchs N.H. Nucl. Phys. B. Vol. 457:1995;513 Nucl. Phys. B. Vol. 471:1996;445.
50. Bijnens J., Colangelo G., Ecker G., Gasser J., Sainio M.E. Phys. Lett. B. Vol. 374:1996;210 Nucl. Phys. B. Vol. 508:1997;263.
51. Bijnens J., Colangelo G., Ecker G., Gasser J., Sainio M.E. Phys. Lett. B. Vol. 374:1996;210 Nucl. Phys. B. Vol. 508:1997;263.
52. Watson K.M. Phys. Rev. Vol. 95:1955;228.
53. Beldjoudi L., Truong T.N. hep-ph/9403348.
54. Le viet Dung, Truong T.N. hep-ph/9607378.
55. Guerrero F., Pich A. Phys. Lett. B. Vol. 412:1997;382.
56. Guerrero F. Phys. Rev. D. Vol. 57:1998;4136.
57. Guerrero F., Oller J.A. Nucl. Phys. B. Vol. 537:1999;459.
58. Omnès R. Nuovo Cimento. Vol. 8:1958;316.
59. Muskhelishvili N.I. Singular Integral Equations. 1953;Noordhoff, Groningen.
60. Nieves J., Ruiz Arriola E. hep-ph/9906437. Phys. Lett. B, submitted.
61. Ecker G. et al. Phys. Lett. B. Vol. 223:1989;425.
62. Morgan D., Penninton M.R. Maiani L. et al. The Second DA Φ NE Physics Handbook. 1995;192.
63. Amendiola S.R. et al. (NA7 collaboration) Nucl. Phys. B. Vol. 277:1986;168.
64. Barkov L.M. et al. Nucl. Phys. B. Vol. 256:1985;365. and references therein.
65. Petersen J.L. CERN Yellow Report 77-04. 1977.
66. Losty M.J. et al. Nucl. Phys. B. Vol. 69:1974;185.
67. Dumbrajs O. et al. Nucl. Phys. B. Vol. 216:1983;277.
68. Oller J.A., Oset E. Phys. Rev. D. Vol. 60:1999;074023.
69. Kawarabayashi K., Suziki M. Phys. Rev. Lett. Vol. 16:1966;255.
70. Riazuddin, Fayyazuddin. Phys. Rev. Vol. 147:1966;1071.
71. Truong T.N. Phys. Rev. Lett. Vol. 67:1991;2260.
72. Blakenbecler R., Sugar R. Phys. Rev. Vol. 142:1966;1051.
73. Chew G.F., Mandelstam S. Phys. Rev. Vol. 119:1960;467.
74. Castillejo L., Dalitz R.H., Dyson F.J. Phys. Rev. Vol. 101:1956;453.
75. Stern J., Sazdjian H., Fuchs N.H. Phys. Rev. D. Vol. 47:1993;3814.
76. J. Nieves, E. Ruiz Arriola, work in preparation.