Four-Quark Binding Energies from SU(2) Lattice Monte Carlo

TL;DR

This study uses SU(2) lattice Monte Carlo simulations to analyze four-quark systems, revealing complex binding energies that cannot be explained solely by two-quark potentials, with implications for understanding multiquark states.

Contribution

It provides the first detailed lattice calculation of four-quark energies in SU(2), highlighting the importance of multi-partition configurations and challenging simple two-quark potential models.

Findings

Binding energy is greatly enhanced when four quarks can be partitioned in two ways.

Four-quark energies cannot be fully understood using only two-quark potentials.

Results are consistent across multiple geometries, both planar and non-planar.

Abstract

Energies of four-quark systems have been extracted in a static quenched SU(2) lattice Monte Carlo calculation for six different geometries, both planar and non-planar, with $\beta=2.4$ and lattice size $16^3\times 32$. In all cases, it is found that the binding energy is greatly enhanced when the four quarks can be partitioned in two ways with comparable energies. Also it is shown that the energies of the four-quark states cannot be understood simply in terms of two-quark potentials.