Linear response of homogeneous nuclear matter with energy density functionals

Abstract

Response functions of infinite nuclear matter with arbitrary isospin asymmetry are studied in the framework of the random phase approximation. The residual interaction is derived from a general nuclear Skyrme energy density functional. Besides the usual central, spin-orbit and tensor terms it could also include other components as new density-dependent terms or three-body terms. Algebraic expressions for the response functions are obtained from the Bethe-Salpeter equation for the particle-hole propagator. Applications to symmetric nuclear matter, pure neutron matter and asymmetric nuclear matter are presented and discussed. Spin-isospin strength functions are analyzed for varying conditions of density, momentum transfer, isospin asymmetry, and temperature for some representative Skyrme functionals. Particular attention is paid to the discussion of instabilities, either real or unphysical, which could manifest in finite nuclei.

To be published on Physics Reports

References in corpus (35)

• Improved nuclear matter calculations from chiral low-momentum interactions
• Further explorations of Skyrme-Hartree-Fock-Bogoliubov mass formulas. XII: Stiffness and stability of neutron-star matter
• Nuclear symmetry energy probed by neutron skin thickness of nuclei
• Neutron skin of 208Pb, nuclear symmetry energy, and the parity radius experiment
• Three-body forces: From cold atoms to nuclei
• Spin-orbit splitting and the tensor component of the Skyrme interaction
• Inner crust of neutron stars with mass-fitted Skyrme functionals
• Coupled-cluster theory for three-body Hamiltonians
• Isovector splitting of nucleon effective masses, ab-initio benchmarks and extended stability criteria for Skyrme energy functionals
• Tensor interaction contributions to single-particle energies
• Evolution of nuclear shells with the Skyrme density dependent interaction
• Self-consistent description of multipole strength: systematic calculations
• Cold neutrons trapped in external fields
• Spin and spin-isospin instabilities in asymmetric nuclear matter at zero and finite temperatures using Skyrme functionals
• Microscopically-based energy density functionals for nuclei using the density matrix expansion: Implementation and pre-optimization
• Linear response theory and neutrino mean free path using Brussels-Montreal Skyrme functionals
• Effective pseudopotential for energy density functionals with higher order derivatives
• Three-body structure of the $nn\Lambda$ system with $\Lambda N-\Sigma N$ coupling
• Is there a bound Lambda-n-n ?
• Octupole deformation properties of the Barcelona-Catania-Paris energy density functionals
• Cluster formation in compact stars: relativistic versus Skyrme models
• Tensor effective interaction in self-consistent Random Phase Approximation calculations
• Convergence of density-matrix expansions for nuclear interactions
• Nuclear response for the Skyrme effective interaction with zero range tensor terms
• Chiral effective field theory calculations of neutrino processes in dense matter
• The lightest neutral hypernuclei with strangeness -1 and -2
• Symmetry Energy in Nuclear Surface
• Ferromagnetic instabilities in neutron matter at finite temperature with the Gogny interaction
• Collective Modes in a Superfluid Neutron Gas within the Quasiparticle Random-Phase Approximation
• Elementary excitations in homogeneous neutron star matter
• The Negele-Vautherin density matrix expansion applied to the Gogny force
• Description of Pairing correlation in Many-Body finite systems with density functional theory
• Tools for incorporating a D-wave contribution in Skyrme energy density functionals
• Nuclear response functions in homogeneous matter with finite range effective interactions
• Response functions of cold neutron matter: density, spin and current fluctuations

Cited by in corpus (6)

• Solution of Hartree-Fock-Bogoliubov equations and fitting procedure using N2LO Skyrme pseudo-potential in spherical symmetry
• Structure of ${}^{128,129,130}$Xe through multi-reference energy density functional calculations
• Infinite matter properties and zero-range limit of nonrelativistic finite-range interactions
• Static response, collective frequencies and ground state thermodynamical properties of spin saturated two-component cold atoms and neutron matter
• Pairing properties and specific heat of the inner crust of a neutron star
• Toward a systematic strategy for defining power counting in the construction of the energy density functional theory