QCD Sum Rule for S_{11}(1535)

Details QCD Sum Rule for S_{11}(1535) QCD Sum Rule for S_{11}(1535)

1996-08-16

arxiv.org/abs/nucl-th/9608038v1

Nucl.Phys. A612 (1997) 418-428

Physics

Nuclear Physics

Nuclear Theory

12 pages, Revtex, 1 ps figure available from authors

Scientific paper

10.1016/S0375-9474(96)00401-0

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).

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