Empirical Proton-Neutron Interactions and Nuclear Density Functional Theory: Global, Regional and Local Comparisons

Abstract

Calculations of nuclear masses, using nuclear density functional theory, are presented for even-even nuclei spanning the nuclear chart. The resulting binding energy differences can be interpreted in terms of valence proton-neutron interactions. These are compared globally, regionally, and locally with empirical values. Overall, excellent agreement is obtained. Discrepancies highlight neglected degrees of freedom and can point to improved density functionals.

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• Emergent Collectivity in Nuclei and Enhanced Proton-Neutron Interactions
• Lightweight self-conjugate nucleus ${}^{80}$Zr
• New charge radius relations for atomic nuclei
• The proxy-SU(3) symmetry in atomic nuclei
• $N=Z$ nuclei: A laboratory for neutron-proton collective mode
• Extraction of the symmetry energy coefficients from the masses differences of isobaric nuclei
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• Double binding energy differences: Mean-field or pairing effect?
• What can be learned from binding energy differences about nuclear structure: the example of delta V_{pn}
• Symmetry energy of warm nuclear systems
• Empirical residual neutron-proton interaction in odd-odd nuclei
• Temperature dependence of volume and surface symmetry energy coefficients of nucle
• Symmetry energy at subnuclear densities deduced from nuclear masses
• Thermal properties of the nuclear surface
• Residual proton-neutron interactions and the $N_{\mathrm{p}}{N}_{\mathrm{n}}$ scheme
• Global analysis of Skyrme forces with higher-order density dependence
• Empirical pairing gaps and neutron-proton correlations
• Description and prediction of even-A nuclear masses based on residual proton-neutron interactions
• Connecting the proxy-SU(3) symmetry to the shell model
• N_pN_n dependence of empirical formula for the lowest excitation energy of the 2^+ states in even-even nuclei
• Reflection-asymmetric nuclear deformations within the Density Functional Theory
• Mass Probe of Tetrahedral Symmetry in Atomic Nuclei