Relativistic chiral SU(3) symmetry, large N(c) sum rules and meson baryon scattering
May, 2001131 pages
Published in:
- Nucl.Phys.A 700 (2002) 193-308
e-Print:
- nucl-th/0105042 [nucl-th]
Report number:
- GSI-PREPRINT-2001-12,
- ECT-2001-10
Citations per year
Abstract:
The relativistic chiral SU(3) Lagrangian is used to describe kaon-nucleon scattering imposing constraints from the pion-nucleon sector and the axial-vector coupling constants of the baryon octet states. We solve the covariant coupled-channel Bethe-Salpeter equation with the interaction kernel truncated at chiral order Q^3 where we include only those terms which are leading in the large N_c limit of QCD. The baryon decuplet states are an important explicit ingredient in our scheme, because together with the baryon octet states they form the large N_c baryon ground states of QCD. Part of our technical developments is a minimal chiral subtraction scheme within dimensional regularization, which leads to a manifest realization of the covariant chiral counting rules. All SU(3) symmetry-breaking effects are well controlled by the combined chiral and large N_c expansion, but still found to play a crucial role in understanding the empirical data. We achieve an excellent description of the data set typically up to laboratory momenta of p_lab about 500 MeV.Note:
- 131 pages, 14 figures Report-no: GSI-2001-12 and ECT*-2001-10
- quantum chromodynamics
- expansion 1/N: color
- effective Lagrangian: relativistic
- symmetry: chiral
- symmetry breaking: SU(3)
- K nucleon: scattering amplitude
- pi nucleon: scattering amplitude
- baryon: multiplet
- coupling constant: axial-vector
- Bethe-Salpeter equation: coupled channel
References(132)
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