The Breathing Mode in Extended Skyrme Model

Abstract

We study an extended Skyrme model which includes fourth and sixth-order terms. We explore some static properties like the $Δ$-nucleon mass splitting and investigate the Skyrmion breathing mode in the framework of the linear response theory. We find that the monopole response function has a pronounced peak located at $\sim$ 400 MeV, which we identify to the Roper resonance $N(1440)$. As compared to the standard one, the extended Skyrme model provides a more accurate description of baryon properties.