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https://hdl.handle.net/2440/10966
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Type: | Journal article |
Title: | Relativistic three-quark bound states in separable two-quark approximation |
Author: | Oettel, M. von Smekal, Lorenz Johann Maria Alkofer, Reinhard |
Citation: | Computer Physics Communications, 2002; 144 (1):63-81 |
Publisher: | Elsevier Science BV |
Issue Date: | 2002 |
ISSN: | 0010-4655 |
Statement of Responsibility: | M. Oettel, L. von Smekal and 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 four-dimensional integral equations are in a first step reduced to a coupled set of one-dimensional ones. This set of linear and homogeneous equations defines a generalised eigenvalue problem. Representing the eigenvector corresponding to the largest eigenvalue, the Chebyshev moments are then obtained by iteration. The nucleon mass is implicitly determined by the eigenvalue, and its covariant wave function is reconstructed from the moments within the Chebyshev approximation. |
Description: | Copyright © 2002 Elsevier Science B.V. All rights reserved. |
DOI: | 10.1016/S0010-4655(01)00465-9 |
Description (link): | http://www.elsevier.com/wps/find/journaldescription.cws_home/505710/description#description |
Appears in Collections: | Special Research Centre for the Subatomic Structure of Matter publications |
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