Pion-nucleon scattering within a gauged linear sigma model with parity-doubled nucleons

Abstract

We compute pion-nucleon scattering at tree-level within a gauged linear sigma model which contains the nucleon and its chiral partner. Such an investigation in principle allows to make definite predictions as to whether the main contribution to the nucleon mass comes from the chiral condensate or from the mixing with its chiral partner. We find that there seems to be no set of model parameters that allows for a simultaneous description of all experimentally measured scattering lengths and range parameters. This indicates the need to improve the dynamical ingredients of the model.

6 Pages, 1 Figure. To appear in the Proceedings of QM2006 (19th International Conference on Ultra-Relativistic Nucleus-Nucleus Collisions, Shanghai, China, November 14-20) in Int. J. Mod. Phys. E

References in corpus (1)

• Chiral Symmetry of Baryons

Cited by in corpus (5)

• Chiral Mirror-Baryon-Meson Model and Nuclear Matter beyond Mean-Field
• Functional Renormalization Group Study of the Chiral Phase Transition Including Vector and Axial-vector Mesons
• Vector and Axial-Vector Mesons in Nuclear Matter
• Mirror versus naive assignment in chiral models for the nucleon
• Properties of hadrons in a chiral model with (axial-)vector mesons