We present a model for describing nuclear matter at finite density based on quarks interacting with chiral fields $\sigma$ and $\pi$ and 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 with respect to the linear $\sigma$ model, and that the introduction of vector mesons allows us to obtain saturation.

• Received 25 September 2011

DOI:https://doi.org/10.1103/PhysRevC.86.015211