Relativistic three-quark bound states in separable two-quark approximation

Published: 01-01-2002| Version 1 | DOI: 10.17632/x73vmmxxbs.1
M Oettel,
L von Smekal,
R Alkofer


Abstract Baryons as relativistic bound states in 3-quark correlations are described by an effective Bethe–Salpeter equation when irreducible 3-quark interactions are neglected and separable 2-quark correlations are assumed. We present an efficient numerical method to calculate the nucleon mass and its covariant wave function in this quantum field theoretic quark–diquark model with quark-exchange interaction. Expanding the components of the spinorial wave function in terms of Chebyshev polynomials, the... Title of program: BSE Catalogue Id: ADPT_v1_0 Nature of problem Diquarks are introduced as separable correlations in the two-quark Green's function to facilitate the description of baryons as relativistic three-quark bound states. These states then emerge as solutions of Bethe-Salpeter equations for quarks and diquarks that interact via quark exchange. Versions of this program held in the CPC repository in Mendeley Data ADPT_v1_0; BSE; 10.1016/S0010-4655(01)00465-9 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)