Compressibility of dense nuclear matter in the $\rho$-meson variant of the Skyrme model

TL;DR

This paper demonstrates that coupling the Skyrme model with the $ ho$-meson significantly reduces the incompressibility of dense nuclear matter, addressing a longstanding issue in the model.

Contribution

Introducing $ ho$-meson coupling into the Skyrme model to effectively lower the nuclear matter incompressibility modulus.

Findings

Coupling reduces the compression modulus from ~1080 MeV to ~351 MeV.

Including one $ ho ext{-} ho ext{π}$ interaction term is sufficient.

The modified model aligns better with empirical nuclear matter properties.

Abstract

We show that coupling the $\textrm{SU}(2)$-valued Skyrme field to the $\rho$-meson solves the long-standing issue of (in)compressibility in the solitonic Skyrme model. Even by including only one $\rho\pi$ interaction term, motivated by a holographic-like reduction of Yang-Mills action by Sutcliffe, reduces the compression modulus from $K_0 \simeq 1080$ MeV, in the massive Skyrme model, to $K_0\simeq 351$ MeV.