Thermodynamic properties of the SU(2)
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) 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
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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