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

Abstract

We calculate the coupling constants, $g_{πNS_{11}}$ and $g_{ηNS_{11}}, using QCD sum rules in the presence of an external meson field. A covariant derivative is introduced within the S_{11} interpolating field so that in the nonrelativistic limit the field dominantly reduces to two quarks in the s-wave state and one quark in the p-wave state. Our result for the couplings obtained by further making use of the soft-meson theorem qualitatively agrees with its phenomenological value extracted from the S_{11}(1535) decay width. The prediction for the couplings however depend on the value of quark-gluon condensate, $< {\bar q} g_s σ\cdot {\cal G} q >$, which is also important in the calculation of the S_{11}(1535) mass itself within the sum rule approach.