Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2005-03-16
Phys.Rev. D71 (2005) 114509
Physics
High Energy Physics
High Energy Physics - Lattice
21 pages, 14 figures, 1 table; v2: "N_eff" in Sec.4 was changed to "N_fit" to avoid the confusion in the notation; v3: The dis
Scientific paper
10.1103/PhysRevD.71.114509
We study spin $\frac12$ hadronic states in quenched lattice QCD to search for a possible $S=+1$ pentaquark resonance. Simulations are carried out on $8^3\times 24$, $10^3\times 24$, $12^3\times 24$ and $16^3\times 24$ lattices at $\beta$=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 $2\times 2$ 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.
Kunihiro Teiji
Onogi Tetsuya
Takahashi Toru T.
Umeda Takashi
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