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Covariant Meson–Baryon Scattering with Chiral and Large Nc Constraints

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Abstract

We give a review of recent progress on the application of the relativistic chiral SU(3) Lagrangian to meson–baryon scattering. It is shown that a combined chiral and 1/Nc expansion of the Bethe–Salpeter interaction kernel leads to a good description of the kaon–nucleon, antikaon–nucleon and pion–nucleon scattering data typically up to laboratory momenta of p lab ≃500 MeV. We solve the covariant coupled channel Bethe–Salpeter equation with the interaction kernel truncated to chiral order Q3 where we include only those terms which are leading in the large Nc limit of QCD.

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REFERENCES

  1. F. Karsch, Nucl. Phys. B (Proc. Suppl.) 83–84, 14 (2000).

    Google Scholar 

  2. S. Weinberg, Phys. Lett. B 251, 288 (1990).

    Google Scholar 

  3. J. Gasser, H. Leutwyler, M. P. Locher, and M. E. Sainio, Phys. Lett. B 213, 85 (1988).

    Google Scholar 

  4. V. Bernard, N. Kaiser, and U.-G. Meißner, Nucl. Phys. A 615, 483 (1997).

    Google Scholar 

  5. N. Fettes, U. Meissner, and S. Steininger, Nucl. Phys. A 640, 199 (1998).

    Google Scholar 

  6. A. Krause, Helv. Phys. Acta 63, 3 (1990).

    Google Scholar 

  7. S. Weinberg, Phys. Rev. Lett. 17, 616 (1966). Y. Tomozawa, Nuovo Cimento A 46, 707 (1966).

    Google Scholar 

  8. S. Weinberg, Phys. Lett. B 251, 288 (1990); Nucl. Phys. B 363, 3 (1991).

    Google Scholar 

  9. M. Lutz, in Proceedings, The Standard Model at Low Energy [ECT* (Trento), Italy, April 29–May 10 (1996)]; eprint: hep-ph/9606301.

    Google Scholar 

  10. N. Kaiser, P. B. Siegel, and W. Weise, Nucl. Phys. A 594, 325 (1995). N. Kaiser, T. Waas, and W. Weise, Nucl. Phys. A 612, 297 (1997).

    Google Scholar 

  11. E. Oset and A. Ramos, Nucl. Phys. A 635, 99 (1998).

    Google Scholar 

  12. M. Lutz and E. Kolomeitsev, in Proceedings, Workshop XXVIII on Gross Properties of Nuclei and Nuclear Excitations (Hirschegg, Austria, January 16–22, 2000).

  13. J. A. Oller and U.-G. Meißner, Phys. Lett. B 500, 263 (2001).

    Google Scholar 

  14. M. F. M. Lutz and E. E. Kolomeitsev, eprint: nucl-th/0105042.

  15. G. 't Hooft, Nucl. Phys. B 72, 461 (1974).

    Google Scholar 

  16. E. Witten, Nucl. Phys. B 160, 57 (1979).

    Google Scholar 

  17. R. Dashen, E. Jenkins, and A. V. Manohar, Phys. Rev. D 49, 4713 (1994).

    Google Scholar 

  18. Ch. D. Carone, H. Georgi, and S. Osofsky, Phys. Lett. B 322, 227 (1994).

    Google Scholar 

  19. M. Luty and J. March-Russell, Nucl. Phys. B 426, 71 (1994).

    Google Scholar 

  20. J. Gasser, M. E. Sainio, and A. Svarc, Nucl. Phys. B 307, 779 (1988).

    Google Scholar 

  21. H. Leutwyler, Ann. Phys. (New York) 235, 165 (1994).

    Google Scholar 

  22. Particle Data Tables, Eur. Phys. J. C 3, 1 (1998).

  23. J. Gasser and H. Leutwyler, Nucl. Phys. B 250, 517 (1985).

    Google Scholar 

  24. U.-G. Meißner and J. A. Oller, Nucl. Phys. A 679, 671 (2001).

    Google Scholar 

  25. M. Lutz, Nucl. Phys. A 677, 241 (2000).

    Google Scholar 

  26. T. Becher and H. Leutwyler, Eur. Phys. J. C 9, 643 (1999).

    Google Scholar 

  27. J. Gegelia, G. Japaridze, and X. Q. Wang, eprint: hep-ph/9910260.

  28. E. Jenkins and A. Manohar, Phys. Lett. B 255, 558 (1991).

    Google Scholar 

  29. G. P. LePage, eprint: nucl-th/9706029.

  30. L. B. Okun, Leptons and Quarks (North-Holland, Amsterdam, 1982).

  31. P. J. Ellis and H-B. Tang, Phys. Lett. B 387, 9 (1996); Phys. Rev. C 57, 3356 (1998).

    Google Scholar 

  32. R. F. Dashen, E. Jenkins, and A. V. Manohar, Phys. Rev. D 51, 3697 (1995).

    Google Scholar 

  33. E. Jenkins, Phys. Rev. D 53, 2625 (1996).

    Google Scholar 

  34. Ch.-H. Lee, G. E. Brown, D.-P. Min, and M. Rho, Nucl. Phys. A 585, 401 (1995).

    Google Scholar 

  35. S. Scherer and H. W. Fearing, Phys. Rev. D 52, 6445 (1995). H. W. Fearing and S. Scherer, eprint: nucl-th/9909076 (1999).

    Google Scholar 

  36. J. Gasser, H. Leutwyler, and M. E. Sainio, Phys. Lett. B 253, 252 (1991).

    Google Scholar 

  37. πN Newsletter, No. 15 (1999). P. Büttiker and U.-G. Meißner, Nucl. Phys. A 668, 97 (2000).

    Google Scholar 

  38. R. H. Dalitz, T. C. Wong, and G. Rajasekaran, Phys. Rev. 153, 1617 (1967). R. H. Dalitz, Rev. Mod. Phys. 33, 471 (1961).

    Google Scholar 

  39. P. B. Siegel and W. Weise, Phys. Rev. C 38, 2221 (1988).

    Google Scholar 

  40. B. Krippa, Phys. Rev. C 58, 1333 (1998). B. Krippa and J. T. Londergan, Phys. Rev. C 58, 1634 (1998).

    Google Scholar 

  41. Ch. D. Carone, H. Georgi, L. Kaplan, and D. Morin, Phys. Rev. D 50, 5793 (1994).

    Google Scholar 

  42. C. E. Carlson, Ch. D. Carone, J. L. Goity, and R. F. Lebed, Phys. Rev. D 59, 114008 (1999).

    Google Scholar 

  43. R. Aaron and R. D. Amado, Phys. Rev. Lett. 27, 1316 (1971).

    Google Scholar 

  44. R. Aaron, in Proceedings, Summer Symposium on New Directions in Hadron Spectroscopy (Argonne National Laboratory, July 7–10, 1975), S. L. Kramer and E. L. Berger, eds., Argonne report ANL-HEP-CP–75–58.

  45. M. Lutz, G. Wolf, and B. Friman, Nucl. Phys. A 661c, 526 (1999).

    Google Scholar 

  46. M. Kimura et al., Phys. Rev. C 62, 015206 (2000).

    Google Scholar 

  47. G. Müller and U.-G. Meißner, Nucl. Phys. B 492, 379 (1997).

    Google Scholar 

  48. J. K. Kim, Phys. Rev. Lett. 14, 29 (1965).

    Google Scholar 

  49. T. Ericson and W. Weise, Pions and Nuclei (Clarendon, Oxford, 1988).

    Google Scholar 

  50. N. Fetter and U.-G. Meißner, Nucl. Phys. A 676, 311 (2000).

    Google Scholar 

  51. A. Gashi, E. Matsinos, G. C. Oades, R. Rasche, and W. S. Woolcock, Nucl. Phys. A 686, 447 and 463 (2001).

    Google Scholar 

  52. R. Koch, Nucl. Phys. A 448, 707 (1986).

    Google Scholar 

  53. E. Matsinos, Phys. Rev. C 56, 3014 (1997).

    Google Scholar 

  54. SAID on-line program, http://gwdac.phys.gwu.edu/.

  55. H.-Ch. Schröder et al., Phys. Lett. B 469, 25 (1999).

    Google Scholar 

  56. T. E. O. Ericson, B. Loiseau, and A. W. Thomas, eprint: hep-ph/0009312.

  57. N. Fettes and U.-G. Meißner, eprint: hep-ph/0101030.

  58. R. A. Arndt, I. I. Strakovsky, R. L. Workman, and M. M. Pavan, Phys. Rev. C 52, 2120 (1995).

    Google Scholar 

  59. J. Caro Ramon, N. Kaiser, S. Wetzel, and W. Weise, Nucl. Phys. A 672, 249 (2000).

    Google Scholar 

  60. Ch. Sauerman, B. Friman, and W. Nörenberg, Phys. Lett. B 341, 261 (1995).

    Google Scholar 

  61. C. D. Dover and G. E. Walker, Phys. Rep. 89, 1 (1982).

    Google Scholar 

  62. J. S. Hyslop, R. A. Arndt, L. D. Roper, and R. L. Workman, Phys. Rev. D 46, 961 (1992).

    Google Scholar 

  63. B. R. Martin, Nucl. Phys. B 94, 413 (1975).

    Google Scholar 

  64. K. Hashimoto, Phys. Rev. C 29, 1377 (1984).

    Google Scholar 

  65. G. P. Gopal et al., Nucl. Phys. B 119, 362 (1977).

    Google Scholar 

  66. M. Alston-Garnjost, R. W. Kenney, D. L. Pollard, R. R. Ross, and R. D. Tripp, Phys. Rev. D 18, 182 (1978).

    Google Scholar 

  67. P. M. Gensini, R. Hurtado, and G. Violini, eprint: nucl-th/9804024 and nucl-th/9811010.

  68. T. S. Mast et al., Phys. Rev. D 11, 3078 (1975). R. O. Bangerter et al., Phys. Rev. D 23, 1484 (1981).

    Google Scholar 

  69. M. Sakit et al., Phys. Rev. 139, B719 (1965). R. Armenteros et al., Nucl. Phys. B 21, 13 (1970). T. S. Mast et al., Phys. Rev. D 14, 13 (1976). J. Ciborowski et al., J. Phys. G 8, 13 (1982). D. Evans et al., J. Phys. G 9, 885 (1983).

    Google Scholar 

  70. W. Kittel, G. Otter, and I. Wacek, Phys. Lett. 21, 349 (1966). W. E. Humphrey and R. R. Ross, Phys. Rev. 127, 1305 (1962). G. S. Abrams and B. Sechi-Zorn, Phys. Rev. 139, B454 (1965).

    Google Scholar 

  71. M. B. Watson, M. Ferro-Luzzi, and R. D. Tripp, Phys. Rev. 131, 2248 (1963).

    Google Scholar 

  72. J. Hamilton and G. C. Oades, Phys. Rev. D 16, 2295 (1977).

    Google Scholar 

  73. L. Maiani, G. Pancheri, and N. Pavers, eds., The Second DAFNE Physics Handbook, Vols. I and II (I.N.F.N., Frascati, 1995).

    Google Scholar 

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Lutz, M.F.M., Kolomeitsev, E.E. Covariant Meson–Baryon Scattering with Chiral and Large Nc Constraints. Foundations of Physics 31, 1671–1702 (2001). https://doi.org/10.1023/A:1012655116247

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