Thermodynamic Properties of the SU(2)$_f$ Chiral Quark-Loop Soliton

Details Thermodynamic Properties of the SU(2)$_f$ Chiral Quark-Loop Soliton Thermodynamic Properties of the SU(2)$_f$ Chiral Quark-Loop Soliton

1997-09-26

arxiv.org/abs/nucl-th/9709060v1

Eur.Phys.J. A1 (1998) 171-186

Physics

Nuclear Physics

Nuclear Theory

34 pages, 7 Postscript figures, uses psfig.sty

Scientific paper

10.1007/s100500050046

We consider a chiral one-loop hedgehog soliton of the bosonized SU(2)$_f$ 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.

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