Physics – Nuclear Physics – Nuclear Theory
Scientific paper
1997-06-09
Phys.Rev. C57 (1998) 2576-2588
Physics
Nuclear Physics
Nuclear Theory
Revtex, submitted to Phys. Rev. C
Scientific paper
10.1103/PhysRevC.57.2576
A generalized Lagrangian for the description of hadronic matter based on the linear $SU(3)_L \times SU(3)_R$ $\sigma$-model is proposed. Besides the baryon octet, the spin-0 and spin-1 nonets, a gluon condensate associated with broken scale invariance is incorporated. The observed values for the vacuum masses of the baryons and mesons are reproduced. In mean-field approximation, vector and scalar interactions yield a saturating nuclear equation of state. We discuss the difficulties and possibilities to construct a chiral invariant baryon-meson interaction that leads to a realistic equation of state. It is found that a coupling of the strange condensate to nucleons is needed to describe the hyperon potentials correctly. The effective baryon masses and the appearance of an abnormal phase of nearly massless nucleons at high densities are examined. A nonlinear realization of chiral symmetry is considered, to retain a Yukawa-type baryon-meson interaction and to establish a connection to the Walecka-model.
Greiner Walter
Papazoglou P.
Schaffner-Bielich Jurgen
Schramm Stefan
Stocker Horst
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