Isospin symmetry breaking nucleon-nucleon potentials and nuclear structure

Abstract

Modern nucleon-nucleon (NN) potentials, which accurately fit the nucleon-nucleon scattering phase shifts, contain terms which break isospin symmetry. The effects of these symmetry violating terms on the bulk properties of nuclear matter are investigated. The predictions of the charge symmetry breaking (CSB) terms are compared with the Nolen-Schiffer (NS) anomaly regarding the energies of neighboring mirror nuclei. We find that, for a quantitative explanation of the NS anomaly, it is crucial to include CSB in partial waves with $L>0$ (besides ${}^1{S}_0$) as derived from a microscopic model for CSB of the NN interaction.

14 pages, RevTex, 2 figures

References in corpus (6)

• Electromagnetic Corrections to the One-Pion-Exchange Potential
• Modern nucleon-nucleon potentials and symmetry energy in infinite matter
• The $A_y$ Puzzle and the Nuclear Force
• Charge-Dependence of the Nucleon-Nucleon Interaction
• Charge-Asymmetry of the Nucleon-Nucleon Interaction
• Phaseshift equivalent NN potentials and the deuteron

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• The nuclear symmetry energy and the breaking of the isospin symmetry: how do they reconcile with each other?
• Charge symmetry breaking of the nucleon-nucleon interaction: $\rho$-$\omega$ mixing VERSUS nucleon mass splitting
• Isospin symmetry breaking in the charge radius difference of mirror nuclei
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