Gravitational form factors of nuclei in the Skyrme model

• Main Authors: Martín-Caro, Alberto García, Hatta, Yoshitaka, Huidobro, Miguel
• Format: Journal Article
• Language: English
• Published: 12-04-2023
• Subjects: Physics - High Energy Physics - Phenomenology; Physics - High Energy Physics - Theory; Physics - Nuclear Theory
• DOI: 10.48550/arxiv.2304.05994

We compute the gravitational form factor $D(t)$ of various nuclei in the
generalized Skyrme model where nuclei are described as solitonic field
configurations each with a definite baryon number $B$. We separately discuss
the cases $B=1$ (nucleons), $B=2$ (deuteron), $B=3$ (helium-3 and tritium) and
extrapolate to larger $B$-values. Configurations with $B>1$ are in general not
spherically symmetric, and we demonstrate how group theory helps to extract the
form factor. Numerical results are presented for the configurations with
$B=1,2,3,4,5,6,7,8,32,108$. We find that the $B$-dependence is consistent with
a power-law $D(0)\propto B^{\beta}$ with $\beta=1.7\sim 1.8$. Other
gravitational form factors can be calculated in the same framework, and we show
the result for the $J(t)$ form factor associated with angular momentum for the
$B=3$ solution.