English

Nuclear mass radius and pressure in the Skyrme model

High Energy Physics - Phenomenology 2024-04-24 v2 Nuclear Theory

Abstract

We compute the mass radius, scalar radius, tensor radius, baryon number radius and mechanical radius of nuclei with baryon number B=1,2,3,4,5,6,7,8,32,108B=1,2,3,4,5,6,7,8,32,108 in the Skyrme model. The relations between these radii and the nuclear gravitational form factors are investigated. We also compute the `pressure' distribution and find that it is negative in the core region for all the nuclei with B>1B>1. This suggests that the way mechanical stability is achieved in nuclei is qualitatively different than in the nucleon.

Keywords

Cite

@article{arxiv.2312.12984,
  title  = {Nuclear mass radius and pressure in the Skyrme model},
  author = {Alberto García Martín-Caro and Miguel Huidobro and Yoshitaka Hatta},
  journal= {arXiv preprint arXiv:2312.12984},
  year   = {2024}
}

Comments

10 pages, 4 figures. 2 figures changed, 1 figure added for clarity. Other minor changes include an improved accuracy in numerical solutions, and addition of several references