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

Abstract

We use a chiral Lagrangian, including a logarithmic potential associated with the breaking of scale invariance, based on quarks interacting with chiral fields, σ and π, and with vector mesons to describe nuclear matter at finite density. Using the Wigner-Seitz approximation to mimic a dense system, we show that the model admits stable solitonic solutions at higher densities respect to the linear-σ model and that the introduction of vector mesons allows to obtain saturation. This result has never been obtained before in similar approaches.