English

Chiral Dynamics of Baryons in a Lorentz Covariant Quark Model

High Energy Physics - Phenomenology 2009-11-11 v3

Abstract

We develop a manifestly Lorentz covariant chiral quark model for the study of baryons as bound states of constituent quarks dressed by a cloud of pseudoscalar mesons. The approach is based on a non-linear chirally symmetric Lagrangian, which involves effective degrees of freedom - constituent quarks and the chiral (pseudoscalar meson) fields. In a first step, this Lagrangian can be used to perform a dressing of the constituent quarks by a cloud of light pseudoscalar mesons and other heavy states using the calculational technique of infrared dimensional regularization of loop diagrams. We calculate the dressed transition operators with a proper chiral expansion which are relevant for the interaction of quarks with external fields in the presence of a virtual meson cloud. In a second step, these dressed operators are used to calculate baryon matrix elements. Applications are worked out for the masses of the baryon octet, the meson-nucleon sigma terms, the magnetic moments of the baryon octet, the nucleon charge radii, the strong vector meson-nucleon couplings and the full momentum dependence of the electromagnetic form factors of the nucleon.

Keywords

Cite

@article{arxiv.hep-ph/0511319,
  title  = {Chiral Dynamics of Baryons in a Lorentz Covariant Quark Model},
  author = {Amand Faessler and Th. Gutsche and V. E. Lyubovitskij and K. Pumsa-ard},
  journal= {arXiv preprint arXiv:hep-ph/0511319},
  year   = {2009}
}

Comments

42 pages, 12 figures, accepted for publication in Phys. Rev. D