An analysis of four-quark energies in SU(2) lattice Monte Carlo using the flux-tube symmetry

Energies of four-quark systems calculated by the static quenched SU(2) lattice Monte Carlo method are analyzed in 2x2 bases for square, rectangle, tilted rectangle, linear and quadrilateral geometry configurations and in 3x3 bases for a non-planar geometry configuration. For small interquark distances, a lattice effect is taken into account by considering perimeter dependent terms which are characterized by the cubic symmetry. It is then found that a parameter f - that can be identified as a gluon field overlap factor - is rather well described by the form exp (-[bsEA+√(bs) FP]), where A and P are the area and perimeter mainly defined by the positions of the four quarks, bs is the string constant in the 2-quark potentials and E,F are constants. ((orig.))