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Phys. Rev. C 73, 044009 (2006) [10 pages]

Scalar-meson–baryon coupling constants in QCD sum rules

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G. Erkol* and R. G. E. Timmermans†
Theory Group, KVI, University of Groningen, Groningen, The Netherlands

M. Oka‡
Department of Physics, H27, Tokyo Institute of Technology, Meguro, Tokyo, 152-8551, Japan

Th. A. Rijken§
Institute for Theoretical Physics, Radboud University Nijmegen, Nijmegen, The Netherlands

Received 22 January 2006; published 21 April 2006

The external-field QCD sum rules method is used to evaluate the coupling constants of the light isoscalar-scalar meson (“σ” or ɛ) to the Λ,Σ, and Ξ baryons. It is shown that these coupling constants as calculated from QCD sum rules are consistent with SU(3) flavor relations, which leads to a determination of the F/(F+D) ratio of the scalar octet assuming ideal mixing: we find αs≡F/(F+D)=0.55. The coupling constants with SU(3) breaking effects are also discussed.

© 2006 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevC.73.044009
DOI:
10.1103/PhysRevC.73.044009
PACS:
13.75.Gx, 12.38.Lg, 14.40.Cs, 24.85.+p

*Electronic address: erkol@kvi.nl

†Electronic address: timmermans@kvi.nl

‡Electronic address: oka@th.phys.titech.ac.jp

§Electronic address: t.rijken@science.ru.nl

 
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