A chiral quark-soliton model with broken scale invariance for nuclear matter

Abstract

We present a model for describing nuclear matter at finite density based on quarks interacting with chiral fields, σand πand with vector mesons introduced as massive gauge fields. The chiral Lagrangian includes a logarithmic potential, associated with the breaking of scale invariance. We provide results for the soliton in vacuum and at finite density, using the Wigner-Seitz approximation. We show that the model can reach higher densities respect to the linear-σmodel and that the introduction of vector mesons allows to obtain saturation. This result was never obtained before in similar approaches.

14 pages, 15 figures, 7 tables. Enlarged version including vector mesons