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Operator product expansion and the short distance behavior of 3-flavor baryon potentials

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Abstract

The short distance behavior of baryon-baryon potentials defined through Nambu-Bethe-Salpeter wave functions is investigated using the operator product expansion. In a previous analysis of the nucleon-nucleon case, corresponding to the SU(3) channels 27s and \( {\overline {10}_a} \), we argued that the potentials have a repulsive core. A new feature occurs for the case of baryons made up of three flavors: manifestly asymptotically attractive potentials appear in the singlet and octet channels. Attraction in the singlet channel was first indicated by quark model considerations, and recently been found in numerical lattice simulations. The latter have however not yet revealed asymptotic attraction in the octet channels; we give a speculative explanation for this apparent discrepancy.

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Authors and Affiliations

  1. Graduate School of Pure and Applied Sciences, University of Tsukuba, Tsukuba, Ibaraki, 305-8571, Japan

    Sinya Aoki

  2. Center for Computational Sciences, University of Tsukuba, Tsukuba, Ibaraki, 305-8577, Japan

    Sinya Aoki

  3. Research Institute for Particle and Nuclear Physics, 1525, Budapest, 114, Pf. 49, Hungary

    Janos Balog

  4. Max-Planck-Institut für Physik, Föhringer Ring 6, D-80805, München, Germany

    Peter Weisz

Authors
  1. Sinya Aoki
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  2. Janos Balog
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  3. Peter Weisz
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Correspondence to Sinya Aoki.

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ArXiv ePrint: 1007.4117

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Aoki, S., Balog, J. & Weisz, P. Operator product expansion and the short distance behavior of 3-flavor baryon potentials. J. High Energ. Phys. 2010, 83 (2010). https://doi.org/10.1007/JHEP09(2010)083

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  • DOI: https://doi.org/10.1007/JHEP09(2010)083

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