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28 March 2024
 
  » arxiv » hep-ph/0309247

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The baryonic Y-shape confining potential energy and its approximants
Bernard Silvestre-Brac ; Claude Semay ; Ilya M. Narodetskii ; A. I. Veselov ;
Date 22 Sep 2003
Journal Eur.Phys.J. C32 (2003) 385-397
Subject hep-ph
AffiliationLPSC, Grenoble), Claude Semay (Universite de Mons-Hainaut), Ilya M. Narodetskii (ITEP, Moscow), A. I. Veselov (ITEP, Moscow
AbstractWe discuss the validity of replacing the complicated three-body confinement operator of the Y string junction type by three kinds of approximation which are numerically much simpler to handle: a one-body operator with the junction point at the centre of mass, a two-body operator corresponding to half the perimeter of the triangle formed by the three particles, and the average of both. Two different approaches for testing the quality of the approximations are proposed: a geometrical treatment based on the comparison of the potential energy strengths for the various inter quark distances, and a dynamical treatment based on the comparison of the corresponding effective string tensions using a hyperspherical approach. Both procedures give very similar results. It is shown how to simulate the genuine string junction operator by the approximations proposed above. Exact three-body calculations are presented in order to compare quantitatively the various approximations and to confirm our analysis.
Source arXiv, hep-ph/0309247
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