Linear response in infinite nuclear matter as a tool to reveal finite size instabilities

Abstract

Nuclear effective interactions are often modelled by simple analytical expressions such as the Skyrme zero-range force. This effective interaction depends on a limited number of parameters that are usually fitted using experimental data obtained from doubly magic nuclei. It was recently shown that many Skyrme functionals lead to the appearance of instabilities, in particular when symmetries are broken, for example unphysical polarization of odd-even or rotating nuclei. In this article, we show how the formalism of the linear response in infinite nuclear matter can be used to predict and avoid the regions of parameters that are responsible for these unphysical instabilities.

Based on talk presented at 18th Nuclear Physics Workshop "Maria and Pierre Curie", 2011, Kazimierz, Poland

References in corpus (3)

• Isovector splitting of nucleon effective masses, ab-initio benchmarks and extended stability criteria for Skyrme energy functionals
• The tensor part of the Skyrme energy density functional. III. Time-odd terms at high spin
• Nuclear response for the Skyrme effective interaction with zero range tensor terms

Cited by in corpus (10)

• Nuclear energy density optimization: Shell structure
• The unrestricted Skyrme-tensor time-dependent Hartree-Fock and its application to the nuclear response from spherical to triaxial nuclei
• Nuclear response for the Skyrme effective interaction with zero-range tensor terms. II. Sum rules and instabilities
• Fitting Skyrme functionals using linear response theory
• Nuclear response for the Skyrme effective interaction with zero-range tensor terms. III. Neutron matter and neutrino propagation
• Nuclear matter response function with a central plus tensor Landau interaction
• Static response, collective frequencies and ground state thermodynamical properties of spin saturated two-component cold atoms and neutron matter
• Linear Response Theory with finite-range interactions
• Lee-Yang-inspired energy-density functional including contributions from $p$-wave scattering
• Linear response theory in asymmetric nuclear matter for Skyrme functionals including spin-orbit and tensor terms II: Charge Exchange