QCD Sum Rule for S_{11}(1535)

Abstract

We propose a new interpolating field for S${}_{11}$(1535) to determine its mass from QCD sum rules. In the nonrelativistic limit, this interpolating field dominantly reduces to two quarks in the s-wave state and one quark in the p-wave state. An optimization procedure, which makes use of a duality relation, yields the interpolating field which overlaps strongly with the negative-parity baryon and at the same time does not couple at all to the low lying positive-parity baryon. Using this interpolating field and applying the conventional QCD sum rule analysis, we find that the mass of S${}_{11}$ is reasonably close to the experimentally known value, even though the precise determination depends on the poorly known quark-gluon condensate. Hence our interpolating field can be used to investigate the spectral properties of S${}_{11}$(1535).

12 pages, Revtex, 1 ps figure available from authors

References in corpus (5)

• Chiral Dynamics and the $S_{11}(1535)$ Nucleon Resonance
• QCD Sum Rules and Applications to Nuclear Physics
• Effective Lagrangian Approach to the Theory of Eta Photoproduction in the $N^{\ast }(1535)$ Region
• QCD Sum Rules, Scattering Length and the Vector Mesons in Nuclear Medium
• The eta Photoproduction of Nucleons and The structure of the Resonance S11(1535) in The Quark Model

Cited by in corpus (8)

• $1/N_c$ Expansion for Excited Baryons
• Properties of $N^{\ast }$(1535) at Finite Density in the Extended Parity-Doublet Models
• Combined study of gamma p to eta p and pi-p to eta n in a chiral constituent quark approach
• Chiral and U_A(1) symmetry in correlation functions in medium
• QCD Properties of Hot/Dense Matter
• QCD Sum Rule for $\Lambda$(1405)
• Quasifree eta photoproduction from nuclei and medium modifications of resonances
• Sigma meson in QCD sum rules using a two quark current with derivatives