Nuclear mass radius and pressure in the Skyrme model

Abstract

We compute the mass radius, scalar radius, tensor radius, baryon number radius and mechanical radius of nuclei with baryon number $B=1,2,3,4,5,6,7,8,32,108$ 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 $B>1$. This suggests that the way mechanical stability is achieved in nuclei is qualitatively different than in the nucleon.

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