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29 March 2024
 
  » arxiv » hep-lat/0503019

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Search for the possible S=+1 Pentaquark states in Quenched Lattice QCD
Toru T. Takahashi ; Takashi Umeda ; Tetsuya Onogi ; Teiji Kunihiro ;
Date 16 Mar 2005
Journal Phys.Rev. D71 (2005) 114509
Subject hep-lat hep-ph nucl-th
AbstractWe study spin $frac12$ hadronic states in quenched lattice QCD to search for a possible $S=+1$ pentaquark resonance. Simulations are carried out on $8^3 imes 24$, $10^3 imes 24$, $12^3 imes 24$ and $16^3 imes 24$ lattices at $eta$=5.7 at the quenched level with the standard plaquette gauge action and the Wilson quark action. We adopt a Dirichlet boundary condition in the time direction for the quark to circumvent the possible contaminations due to the (anti)periodic boundary condition for the quark field, which are peculiar to the pentaquark. By diagonalizing the $2 imes 2$ correlation matrices constructed from two independent operators with the quantum numbers $(I,J)=(0,frac12)$, we successfully obtain the energies of the lowest state and the 2nd-lowest state in this channel. The analysis of the volume dependence of the energies and spectral weight factors indicates that a resonance state is likely to exist slightly above the NK threshold in $(I,J^P)=(0,frac12^-)$ channel.
Source arXiv, hep-lat/0503019
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