Particle-hole symmetry parameters for nuclei

Abstract

Two new numbers, $\nu$ and $\zeta$, inspired by particle-hole symmetry are introduced. These numbers have extreme values at a closed shell and vanish mid-shell. A combination of even powers of these numbers has been used to model experimentally measured quantities such as $R4/2=E(4_1^{+})/E(2_1^{+})$ and the "microscopic" contribution to binding energies. A binding energy fit consisting of a total of six fit coefficients, including one new shell term, reproduces the experimental binding energies of 2353 nuclei with an r.m.s. standard deviation of 1.55 MeV. The difference between the experimental and fit values of observables, specifically the $R4/2$, provides an indication of where shell closure features are less pronounced and where sub-shells closures occur.

Indian Journal of Physics First online: 16 March 2016

References in corpus (6)

• Particle-Hole Symmetry and the $\nu =5/2$ Quantum Hall State
• Evolution of shell structure in neutron-rich calcium isotopes
• Particle-hole symmetry and interaction effects in the Kane-Mele-Hubbard model
• Partial Dynamical Symmetries
• The anatomy of the simplest Duflo-Zuker mass formula
• Relation between Wigner energy and proton-neutron pairing

Cited by in corpus (2)

• High Precision Binding Energies from Physics Informed Machine Learning
• Further exploration of binding energy residuals using machine learning and the development of a composite ensemble model