Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2001-05-18
Nucl.Phys.A700:193-308,2002
Physics
Nuclear Physics
Nuclear Theory
131 pages, 14 figures
Scientific paper
10.1016/S0375-9474(01)01312-4
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.
Kolomeitsev Evgeni E.
Lutz Matthias F. M.
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