First Study for the Pentaquark Potential in SU(3) Lattice QCD

Abstract

The static penta-quark (5Q) potential $V_{5Q}$ is studied in SU(3) lattice QCD with $16^3\times 32$ and $\beta$=6.0 at the quenched level. From the 5Q Wilson loop, $V_{5Q}$ is calculated in a gauge-invariant manner, with the smearing method to enhance the ground-state component. $V_{5Q}$ is well described by the OGE plus multi-Y Ansatz: a sum of the OGE Coulomb term and the multi-Y-type linear term proportional to the minimal total length of the flux-tube linking the five quarks. Comparing with $\mathrm{Q}\bar{\mathrm{Q}}$ and 3Q potentials, we find a universality of the string tension, ${\sigma }_{\mathrm{Q}\bar{\mathrm{Q}}}\simeq {\sigma }_{3Q}\simeq {\sigma }_{5Q}$, and the OGE result for Coulomb coefficients.

4 pages, 5 figures