Paraquarks, Structural Saturation, and Hard Core

This investigation, which is concerned with the effect of parastatistics for more than one baryon, has a twofold objective, viz., to show that (i) saturation of baryon energy levels and (ii) short-range repulsion between baryons can both be thought of as consequences of parastatistics symmetry in a multiquark system. An explicit method of construction of the multiquark wave functions of appropriate symmetry is outlined. The saturation of baryon energy levels is also found to depend crucially on a relation of the form $V_s=-2\mathrm{}{V}_a$, where $V_s$ and $V_a$ are, respectively, the even and odd parts of the quark-quark potential. The problem of short-range repulsion is investigated with the help of a two-quark model of baryons, via a four-particle nonrelativistic Schrödinger equation for a [2, 2] symmetric wave function characteristic of parastatistics symmetry. An explicit solution for the baryon-baryon amplitude is obtained with the help of a factorable, $s$-wave interaction between the quarks and brings out clearly the effect of structural repulsion.