2019 Impact factor 2.176
Hadrons and Nuclei
Eur. Phys. J. A 1, 171-186

Thermodynamic properties of the SU(2)$_{\bf{f}}$ chiral quark-loop soliton

M. Schleif - R. Wünsch

Institut für Kern- und Hadronenphysik, Forschungszentrum Rossendorf e.V., Postfach 510119, D-01314 Dresden, Germany
(e-mail: wuensch@fz-rossendorf.de)

Received: 26 September 1997 Communicated by W. Weise

Abstract
We consider a chiral one-loop hedgehog soliton of the bosonized SU(2)$_{\rm{f}}$ Nambu & Jona-Lasinio model which is embedded in a hot medium of constituent quarks. Energy and radius of the soliton are determined in self-consistent mean-field approximation. Quasi-classical corrections to the soliton energy are derived by means of the pushing and cranking approaches. The corresponding inertial parameters are evaluated. It is shown that the inertial mass is equivalent to the total internal energy of the soliton. Corrected nucleon and $\Delta$ isobar masses are calculated in dependence on temperature and density of the medium. As a result of the self-consistently determined internal structure of the soliton the scaling between constituent quark mass, soliton mass and radius is noticeably disturbed.

PACS
12.39.Fe Chiral Lagrangians - 12.38.Lg Other nonperturbative calculations - 12.40.Yx Hadron mass models and calculations - 24.85.+p Quarks, gluons, and QCD in nuclei and nuclear processes


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