Nucleon-nucleon potential from skyrmion dipole interactions

TL;DR

This paper derives nucleon-nucleon interactions from the Skyrme model using advanced perturbation techniques, accounting for complex kinetic and potential couplings, and compares results with established phenomenological models.

Contribution

It introduces a novel derivation of nucleon-nucleon potentials from the Skyrme model that includes non-trivial kinetic and potential interactions in quantum calculations.

Findings

Qualitative agreement with the Paris model in seven of eight potentials

Derivation includes non-trivial kinetic and potential parts of the interaction

Provides eight low energy interaction potentials

Abstract

We derive the nucleon-nucleon interaction from the Skyrme model using second order perturbation theory and the dipole approximation to skyrmion dynamics. Unlike previous derivations, our derivation accounts for the non-trivial kinetic and potential parts of the skyrmion-skyrmion interaction lagrangian and how they couple in the quantum calculation. We derive the eight low energy interaction potentials and compare them with the phenomenological Paris model, finding qualitative agreement in seven cases.