Eur. Phys. J. A 10, 309-346
Relativistic quark models of baryons with instantaneous forces
Theoretical background
U. Löring, K. Kretzschmar, B.Ch. Metsch and H.R. PetryInstitut für Theoretische Kernphysik, Universität Bonn, Nußallee 14-16, D-53115 Bonn, Germany
(Received: 27 March 2001 Communicated by V.V. Anisovich)
Abstract
This is the first of a series of three papers treating light baryon resonances (up to 3 GeV)
within a relativistically covariant quark model based on the
three-fermion Bethe-Salpeter equation with instantaneous two-
and three-body forces. In this paper we give a unified description of the
theoretical background and demonstrate how to solve the Bethe-Salpeter
equation by a reduction to the Salpeter equation. The specific new
features of our covariant Salpeter model with respect to the usual nonrelativistic
quark model are discussed in detail. The purely theoretical results obtained in this
paper will be applied numerically to explicit quark models for light baryons in two
subsequent papers.
11.10.St - Bound and unstable states; Bethe-Salpeter equations.
12.39.Ki - Relativistic quark model.
12.40.Yx - Hadron mass models and calculations.
14.20.-c - Baryons (including antiparticles).
© Società Italiana di Fisica, Springer-Verlag 2001