Paraquarks, Structural Saturation, and Hard Core

A. N. Mitra and S. A. Moszkowski
Phys. Rev. 172, 1474 – Published 25 August 1968
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Abstract

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 Vs=2Va, where Vs and Va 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.

  • Received 5 February 1968

DOI:https://doi.org/10.1103/PhysRev.172.1474

©1968 American Physical Society

Authors & Affiliations

A. N. Mitra

  • Department of Physics, University of Delhi, Delhi, India
  • Department of Physics, University of California, Los Angeles, California 90024

S. A. Moszkowski

  • Department of Physics, University of California, Los Angeles, California 90024

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Issue

Vol. 172, Iss. 5 — August 1968

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