Neutron-proton mass difference in isospin asymmetric nuclear matter
Ulf-G. Mei{\ss}ner, A.M. Rakhimov, A. Wirzba, U.T. Yakhshiev

TL;DR
This paper investigates how the neutron-proton mass difference varies in asymmetric nuclear matter using a medium-modified Skyrme model with pion optical potentials, revealing a strong decrease in neutron-rich environments.
Contribution
It introduces a novel approach incorporating energy-dependent pion optical potentials into the Skyrme model to study isospin-breaking effects in nuclear matter.
Findings
Neutron-proton mass difference is primarily influenced by its strong interaction component.
The mass difference decreases significantly in neutron-rich matter.
The model predicts environment-dependent modifications of baryonic properties.
Abstract
Isospin-breaking effects in the baryonic sector are studied in the framework of a medium-modified Skyrme model. The neutron-proton mass difference in infinite, asymmetric nuclear matter is discussed. In order to describe the influence of the nuclear environment on the skyrmions, we include energy-dependent charged and neutral pion optical potentials in the s- and p-wave channels. The present approach predicts that the neutron-proton mass difference is mainly dictated by its strong part and that it strongly decreases in neutron matter.
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