EPJ Web of Conferences
Volume 3, 201019th International IUPAP Conference on Few-Body Problems in Physics
|Number of page(s)||10|
|Published online||12 April 2010|
Neutron-Proton Mass Difference in Nuclear Matter and in Finite Nuclei and the Nolen-Schiffer Anomaly
Helmholtz-Institut für Strahlen- und Kernphysik and Bethe
Center for Theoretical Physics, Universität Bonn,
2 Institut für Kernphysik and Jülich Center for Hadron Physics, Forschungszentrum Jülich, D-52425 Jülich, Germany
3 Institute for Advanced Simulation, Forschungszentrum Jülich, D-52425 Jülich, Germany
4 Institute of Nuclear Physics, Academy of Sciences of Uzbekistan, Tashkent - 132, Uzbekistan
5 Institute of Physics and Applied Physics, Yonsei University, Seoul, 120-749, Korea
6 Physics Department and Institute of Applied Physics, National University of Uzbekistan, Tashkent - 174, Uzbekistan
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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.
© Owned by the authors, published by EDP Sciences, 2010
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