2022 Impact factor 2.7
Hadrons and Nuclei

Eur. Phys. J. A 10, 447-486

The light-baryon spectrum in a relativistic quark model with instanton-induced quark forces

The strange-baryon spectrum
U. Löring, B.Ch. Metsch and H.R. Petry

Institut für Theoretische Kernphysik, Universität Bonn, Nußallee 14-16, D-53115 Bonn, Germany


(Received: 27 March 2001 Communicated by V.V. Anisovich)

This is the third of a series of papers treating light-baryon resonances up to 3 GeV within a relativistically covariant quark model based on the Bethe-Salpeter equation with instantaneous two- and three-body forces. In this last paper we extend our previous work (U. Löring, B.Ch. Metsch, H.R. Petry, this issue, p. 395) on non-strange baryons to a prediction of the complete strange-baryon spectrum and a detailed comparison with experiment. We apply the covariant Salpeter framework, which we developed in the first paper (U. Löring, K. Kretzschmar, B.Ch. Metsch, H.R. Petry, Eur. Phys. J. A 10, 309 (2001)), to the specific quark models introduced in our work published in this issue. Quark confinement is realized by linearly rising three-body string potentials with appropriate Dirac structures; to describe the hyperfine structure of the baryon spectrum we adopt 't Hooft's two-quark residual interaction based on QCD instanton effects. The investigation of instanton-induced effects in the baryon mass spectrum plays a central role in this work. We demonstrate that several prominent features of the excited strange mass spectrum, e.g. the low positions of the strange partners of the Roper resonance or the appearance of approximate "parity doublets" in the $\Lambda$ spectrum, find a natural, uniform explanation in our relativistic quark model with instanton-induced forces.

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