English

Nucleon-nucleon potential from skyrmion dipole interactions

High Energy Physics - Theory 2022-08-10 v3 Nuclear Theory

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.

Keywords

Cite

@article{arxiv.2101.02633,
  title  = {Nucleon-nucleon potential from skyrmion dipole interactions},
  author = {Derek Harland and Chris Halcrow},
  journal= {arXiv preprint arXiv:2101.02633},
  year   = {2022}
}

Comments

40 pages, 3 figures. v3 includes an erratum, which corrects some errors in the original submission

R2 v1 2026-06-23T21:53:18.634Z