Mirror displacement energies and neutron skins

Abstract

A gross estimate of the neutron skin [0.80(5)$(N-Z)/A$ fm] is extracted from experimental proton radii, represented by a four parameter fit, and observed mirror displacement energies (CDE). The calculation of the latter relies on an accurately derived Coulomb energy and smooth averages of the charge symmetry breaking potentials constrained to state of the art values. The only free parameter is the neutron skin itself. The Nolen Schiffer anomaly is reduced to small deviations (rms=127 keV) that exhibit a secular trend. It is argued that with state of the art shell model calculations the anomaly should disappear. Highly accurate fits to proton radii emerge as a fringe benefit.

4 pages 3 figures, superseeds first part of nucl-th/0104048 Present is new extended version: 5 pages 4 figures. Explains more clearly the achievements of the previous one

References in corpus (2)

• Isobaric multiplet yrast energies and isospin non-conserving forces
• Charge symmetry breaking of the nucleon-nucleon interaction: $\rho$-$\omega$ mixing VERSUS nucleon mass splitting

Cited by in corpus (16)

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• The anatomy of the simplest Duflo-Zuker mass formula
• On the coefficients of the liquid drop model mass formulae and nuclear radii
• Changes in nuclear structure along the Mn isotopic chain studied via charge radii
• Neutron Skins and Halo Orbits in the $sd$ and $pf$ shells
• Isospin symmetry breaking at high spins in the mirror pair 67Se and 67As
• Shell-model phenomenology of low-momentum interactions
• Isospin symmetry breaking in the mirror pair ${}^{73}$Sr-${}^{73}$Br
• Neutron Skin and Giant Resonances in Nuclei
• Radii in the $sd$ shell and the $s_{1/2}$ "halo" orbit: A game changer
• Structure of the Isovector Dipole Resonance in Neutron-Rich ${}^{60}Ca$ Nucleus and Direct Decay from Pygmy Resonance
• In-beam $\gamma$-ray spectroscopy of negative-parity states of ${}^{37}$K populated in dissipative reactions
• Mirror Energy Differences and nuclear structure in 1$f_{7/2}$ nuclei