The soliton-soliton interaction in the Chiral Dilaton Model

TL;DR

This paper investigates the interaction between two baryonic solitons in the Chiral Dilaton Model, revealing how their relative orientations and distance influence binding and stability, with implications for nuclear matter.

Contribution

It introduces a combined approach using the product ansatz and six-quark bag model to analyze soliton interactions at various distances in the Chiral Dilaton Model.

Findings

One configuration exhibits significant binding at intermediate distances.

At short distances, a six-quark bag provides a stable bound state.

The model connects long-range and short-range interaction regimes.

Abstract

We study the interaction between two B = 1 states in the Chiral Dilaton Model where baryons are described as non-topological solitons arising from the interaction of chiral mesons and quarks. By using the hedgehog solution for the B = 1 states we construct, via a product ansatz, three possible B = 2 configurations to analyse the role of the relative orientation of the hedgehog quills in the dynamics of the soliton-soliton interaction and investigate the behaviour of these solutions in the range of long/intermediate distance. One of the solutions is quite binding due to the dynamics of the {\pi} and {\sigma} fields at intermediate distance and should be used for nuclear matter studies. Since the product ansatz breaks down as the two solitons get close, we explore the short range distance regime with a model that describes the interaction via a six-quark bag ansatz. We calculate the interaction energy as a function of the inter-soliton distance and show that for small separations the six quarks bag, assuming a hedgehog structure, provides a stable bound state that at large separations connects with a special configuration coming from the product ansatz.