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.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Received: 27 March 2001 / Accepted: 17 April 2001
Rights and permissions
About this article
Cite this article
Löring, U., Kretzschmar, K., Metsch, B. et al. Relativistic quark models of baryons with instantaneous forces . Eur Phys J A 10, 309–346 (2001). https://doi.org/10.1007/s100500170117
Issue Date:
DOI: https://doi.org/10.1007/s100500170117