%0 Journal Article %1 Lutz2001Relativistic %A Lutz, M. F. M. %A Kolomeitsev, E. E. %D 2001 %K nuclear %T Relativistic chiral SU(3) symmetry, large N\_c sum rules and meson-baryon scattering %U http://arxiv.org/abs/nucl-th/0105042 %X 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.

@article{Lutz2001Relativistic, 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.}}, added-at = {2019-02-23T22:09:48.000+0100}, archiveprefix = {arXiv}, author = {Lutz, M. F. M. and Kolomeitsev, E. E.}, biburl = {https://www.bibsonomy.org/bibtex/25dad8eb10ae9d4187e587cf3349bfad5/cmcneile}, citeulike-article-id = {10405913}, citeulike-linkout-0 = {http://arxiv.org/abs/nucl-th/0105042}, citeulike-linkout-1 = {http://arxiv.org/pdf/nucl-th/0105042}, day = 18, eprint = {nucl-th/0105042}, interhash = {e93229c84c59a615b4953ec61293c9ad}, intrahash = {5dad8eb10ae9d4187e587cf3349bfad5}, keywords = {nuclear}, month = may, posted-at = {2012-03-02 14:39:48}, priority = {2}, timestamp = {2019-02-23T22:15:27.000+0100}, title = {{Relativistic chiral SU(3) symmetry, large N\_c sum rules and meson-baryon scattering}}, url = {http://arxiv.org/abs/nucl-th/0105042}, year = 2001 }