Pseudoscalar-Meson Octet-Baryon Coupling Constants from two-flavor Lattice QCD

preprint2009arXivOpen access

Abstract

We evaluate the pseudoscalar-meson octet-baryon coupling constants and the corresponding axial charges in eight channels (πNNπN\N, πΣΣπΣΣ, πΛΣπΛΣ, KΛNKΛN, KΣNK ΣN , πΞΞπΞΞ, KΛΞKΛΞ and KΣΞKΣΞ) in lattice QCD with two flavors of dynamical quarks. The parameter α≡F/(F+D)α\equiv F/(F+D) representing the SU(3)-flavor symmetry is computed at each u,d-quark hopping parameter and at the flavor-SU(3) symmetric point where the three quark flavors are degenerate at the physical ss-quark mass. In particular, we obtain α=0.395(6)α=0.395(6) at the SU(3) symmetric limit. The quark-mass dependences of the coupling constants are obtained by changing the uu- and the dd-quark masses and we find that the SU(3)-flavor symmetry is broken by only a few percent at each quark-mass we employ.

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