Multi-Quark Energies in SU(2) Lattice Gauge Theory

Abstract

Energies of four-quark systems have been extracted in a quenched SU(2) lattice Monte Carlo calculation for two different geometries, rectangular and colinear, with ${\hat{I}}^2=2.4$ and lattice size $16^3\times 32$. Also, by going to a lattice $24^3\times 32$ and to ${\hat{I}}^2=2.5$, the effect of the finite lattice size and scaling are checked. An attempt is made to understand these results in terms of a model based on interquark two-body potentials but modified very significantly by a phenomenological gluon-field overlap factor.

(Latex 36 pages, bib-sty included, 8 figures not included - sent on request)