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Anisotropic lattice QCD studies of penta-quarks and tetra-quarks

N. Ishii·T. Doi·H. Iida·M. Oka·F. Okiharu·H. Suganuma·K. Tsumura
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Abstract

Anisotropic lattice QCD studies of penta-quarks(5Q) with J^P=1/2^\pm and 3/2^{\pm} are presented at the quenched level together with tetra-quarks(4Q). The standard gauge action at β=5.75 and O(a) improved quark (clover) action with κ=0.1410(0.010)0.1440 are employed on the anisotropic lattice with the renormalized anisotropy a_s/a_t = 4. The ``hybrid boundary condition(HBC)'' is adopted to discriminate a compact resonance state from scattering states. Only massive 5Q states are found for J^P=1/2^+ and 3/2^{\pm}, which cannot be identified as Θ^+(1540). A low-lying 5Q state is found for J^P=1/2^- at m_{5Q}\simeq 1.75 GeV, which however turns out to be an NK scattering state through the HBC analysis. A preliminary result for 4Q states is presented suggesting an existence of a compact 4Q resonance at m_{4Q} \simeq 1.1 GeV in the idealized SU(4)_f chiral limit.

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N. Ishii, T. Doi, H. Iida, M. Oka, F. Okiharu, H. Suganuma, K. Tsumura. 2006-01-01. Anisotropic lattice QCD studies of penta-quarks and tetra-quarks. https://doi.org/10.1063/1.2220310

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