Calculation of $g_{πNS_{11}}$ and $g_{ηNS_{11}}$ Couplings in QCD Sum Rules

Hungchong Kim; Su Houng Lee

doi:10.1103/PhysRevD.56.4278

paper

Calculation of $g_{π N S_{11}}$ and $g_{η N S_{11}}$ Couplings in QCD Sum Rules

arXiv:nucl-th/9704035 · doi:10.1103/PhysRevD.56.4278

Abstract

We calculate the coupling constants, $g_{π N S_{11}}$ and $g_{η N S_{11}}, u s in g QC D s u m r u l es in t h e p r ese n ceo f an e x t er na l m eso n f i e l d . A co v a r ian t d er i v a t i v e i s in t r o d u ce d w i t hin t h e S_{11} in t er p o l a t in g f i e l d so t ha t in t h e n o n r e l a t i v i s t i c l imi tt h e f i e l dd o minan tl y r e d u ces t o tw o q u a r k s in t h es - w a v es t a t e an d o n e q u a r k in t h e p - w a v es t a t e . O u r r es u l t f or t h eco u pl in g so b t ain e d b y f u r t h er mak in g u seo f t h eso f t - m eso n t h eor e m q u a l i t a t i v e l y a g r ees w i t hi t s p h e n o m e n o l o g i c a l v a l u ee x t r a c t e df r o m t h e S_{11} (1535) d ec a y w i d t h . T h e p r e d i c t i o n f or t h eco u pl in g s h o w e v er d e p e n d o n t h e v a l u eo f q u a r k - g l u o n co n d e n s a t e,$ < {\bar q} g_s σ\cdot {\cal G} q >$, which is also important in the calculation of the S_{11}(1535) mass itself within the sum rule approach.

8 pages (no figure), revtex

Calculation of gπNS11​​ and gηNS11​​ Couplings in QCD Sum Rules

Abstract

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Calculation of $g_{π N S_{11}}$ and $g_{η N S_{11}}$ Couplings in QCD Sum Rules