The nucleon-nucleon interaction and properties of the nucleon in a $\pi \rho \omega$ soliton model including a dilaton field with anomalous dimension

Abstract

We investigate an extended chiral soliton model which includes $\pi ,\rho ,\omega$ and $\sigma$ mesons as explicit degrees of freedom. The Lagrangian incorporates chiral symmetry and broken scale invariance. A scalar-isoscalar meson $\sigma$ is associated with a quarkonium dilaton field with a mass $\text{msig}\approx 550$MeV. We show that the scalar field with anomalous dimension slightly changes the static and electromagnetic properties of the nucleon. In contrast, it plays a significant role in nucleon-nucleon dynamics and gives an opportunity to describe well the two-nucleon interaction.

Comments: 14 pages, REVTeX, 3 figures (Ps), 83 kb