Abstract
The neutron-proton mass difference in (isospin asymmetric) nuclear matter and finite nuclei is studied in the framework of a medium-modified Skyrme model. The proposed effective Lagrangian incorporates both the medium influence of the surrounding nuclear environment on the single nucleon properties and an explicit isospin-breaking effect in the mesonic sector. Energy-dependent charged and neutral pion optical potentials in the s- and p-wave channels are included as well. The present approach predicts that the neutron-proton mass difference is mainly dictated by its strong part and that it markedly decreases in neutron matter. Furthermore, the possible interplay between the effective nucleon mass in finite nuclei and the Nolen-Schiffer anomaly is discussed. In particular, we find that a correct description of the properties of mirror nuclei leads to a stringent restriction of possible modifications of the nucleon’s effective mass in nuclei.
Highlights
This presentation is about a calculation of the neutronproton mass difference in finite nuclei and in nuclear matter in the framework of a medium-modified Skyrme model
The effective neutron-proton mass difference in finite nuclei and nuclear matter ∆m∗np, it is of astrophysical relevance, of importance for the description of mirror nuclei, the stability of drip-line nuclei etc., is not very well under control
The in-medium neutron-proton mass difference is relevant for the description of mirror nuclei and the Nolen-Schiffer anomaly (NSA) [18,19]
Summary
This presentation is about a calculation of the neutronproton mass difference in finite nuclei and in nuclear matter in the framework of a medium-modified Skyrme model. The effective neutron-proton mass difference in finite nuclei and nuclear matter ∆m∗np, it is of astrophysical relevance, of importance for the description of mirror nuclei, the stability of drip-line nuclei etc., is not very well under control. The in-medium neutron-proton mass difference is relevant for the description of mirror nuclei and the Nolen-Schiffer anomaly (NSA) [18,19]. EPJ Web of Conferences results in infinite nuclear matter can be found in Sect. The Nolen-Schiffer anomaly and the prediction of the medium-modified generalized Skyrme model are discussed in Sect.
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