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Negative-parity baryon spectrum in quenched anisotropic lattice QCD

Y. Nemoto1,*, N. Nakajima2, H. Matsufuru1, and H. Suganuma3

  • 1Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan
  • 2Center of Medical Information Science, Kochi Medical School, Kochi 783-8505, Japan
  • 3Faculty of Science, Tokyo Institute of Technology, Tokyo 152-8551, Japan

  • *Present address: RIKEN BNL Research Center, BNL, Upton, NY 11973, USA.

Phys. Rev. D 68, 094505 – Published 21 November, 2003

DOI: https://doi.org/10.1103/PhysRevD.68.094505

Abstract

We investigate the negative-parity baryon spectra in quenched lattice QCD. We employ the anisotropic lattice with a standard Wilson gauge and O(a) improved Wilson quark actions at three values of lattice spacings with a renormalized anisotropy ξ=aσ/aτ=4, where aσ and aτ are spatial and temporal lattice spacings, respectively. The negative-parity baryons are measured with the parity projection. In particular, we pay much attention to the lowest SU(3) flavor-singlet negative-parity baryon, which is assigned as the Λ(1405) in the quark model. For the flavor octet and decuplet negative-parity baryons, the calculated masses are close to the experimental values of corresponding lowest-lying negative-parity baryons. In contrast, the flavor-singlet baryon is found to be about 1.7 GeV, which is much heavier than the Λ(1405). Therefore it is difficult to identify the Λ(1405) to be the flavor-singlet three-quark state, which seems to support an interesting picture of the pentaquark (udsqq¯) state or the NK¯ molecule for the Λ(1405).

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