Linear response theory and neutrino mean free path using Brussels-Montreal Skyrme functionals

Abstract

The Brussels-Montreal Skyrme functionals have been successful to describe properties of both finite nuclei and infinite homogeneous nuclear matter. In their latest version, these functionals have been equipped with two extra density-dependent terms in order to reproduce simultaneously ground state properties of nuclei and infinite nuclear matter properties while avoiding at the same time the arising of ferromagnetic instabilities. In the present article, we extend our previous results of the linear response theory to include such extra terms at both zero and finite temperature in pure neutron matter. The resulting formalism is then applied to derive the neutrino mean free path. The predictions from the Brussels-Montreal Skyrme functionals are compared with ab-initio methods.

References in corpus (44)

• The equation of state for nucleon matter and neutron star structure
• Quantum Monte Carlo Calculations of $A\le 6$ Nuclei
• Skyrme Interaction and Nuclear Matter Constraints
• Further explorations of Skyrme-Hartree-Fock-Bogoliubov mass formulas. XII: Stiffness and stability of neutron-star matter
• Skyrme-Hartree-Fock-Bogoliubov nuclear mass formulas: Crossing the 0.6 MeV threshold with microscopically deduced pairing
• The maximum mass and radius of neutron stars and the nuclear symmetry energy
• A unified approach for nucleon knock-out, coherent and incoherent pion production in neutrino interactions with nuclei
• The tensor part of the Skyrme energy density functional. I. Spherical nuclei
• Neutrino Interactions in Hot and Dense Matter
• Neutrino and antineutrino quasielastic interactions with nuclei
• Effects of Strong and Electromagnetic Correlations on Neutrino Interactions in Dense Matter
• Local Density Approximation for proton-neutron pairing correlations. I. Formalism
• Nuclear energy density optimization: Shell structure
• Further explorations of Skyrme-Hartree-Fock-Bogoliubov mass formulas. XI: Stabilizing neutron stars against a ferromagnetic collapse
• Isovector splitting of nucleon effective masses, ab-initio benchmarks and extended stability criteria for Skyrme energy functionals
• One-quasiparticle States in the Nuclear Energy Density Functional Theory
• Spin susceptibility of neutron matter at zero temperature
• Local nuclear energy density functional at next-to-next-to-next-to-leading order
• Cold neutrons trapped in external fields
• Instabilities of infinite matter with effective Skyrme-type interactions
• Spin and spin-isospin instabilities in asymmetric nuclear matter at zero and finite temperatures using Skyrme functionals
• Effective pseudopotential for energy density functionals with higher order derivatives
• The tensor part of the Skyrme energy density functional. III. Time-odd terms at high spin
• Spurious finite-size instabilities in nuclear energy density functionals
• The unrestricted Skyrme-tensor time-dependent Hartree-Fock and its application to the nuclear response from spherical to triaxial nuclei
• Neutrino propagation and spin zero sound in hot neutron matter with Skyrme interactions
• Skyrme functional from a three-body pseudo-potential of second-order in gradients. Formalism for central terms
• Neutrino mean free path in neutron stars
• Nuclear response for the Skyrme effective interaction with zero range tensor terms
• Nuclear response for the Skyrme effective interaction with zero-range tensor terms. II. Sum rules and instabilities
• Chiral effective field theory calculations of neutrino processes in dense matter
• Isovector response function of hot nuclear matter with Skyrme interactions
• Nuclear response for the Skyrme effective interaction with zero-range tensor terms. III. Neutron matter and neutrino propagation
• Effects of spin-orbit interaction on nuclear response and neutrino mean free path
• Weak response of cold symmetric nuclear matter at three-body cluster level
• Fitting N${}^3$LO pseudopotentials through central plus tensor Landau parameters
• Neutral current interactions of low-energy neutrinos in dense neutron matter
• Antiferromagnetic spin phase transition in nuclear matter with effective Gogny interaction
• Linear response theory in asymmetric nuclear matter for Skyrme functionals including spin-orbit and tensor terms
• Spin instabilities of infinite nuclear matter and effective tensor interactions
• Weak response of neutron matter at low momentum transfer
• Neutron matter under strong magnetic fields: a comparison of models
• Nuclear matter response function with a central plus tensor Landau interaction
• Neutron Fraction and Neutrino Mean Free Path Predictions in Relativistic Mean Field Models

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• Solution of Hartree-Fock-Bogoliubov equations and fitting procedure using N2LO Skyrme pseudo-potential in spherical symmetry
• Ab initio and phenomenological studies of the static response of neutron matter
• Non-perturbative Extraction of the Effective Mass in Neutron Matter
• Neutron pairing with medium polarization beyond the Landau approximation
• Extended Skyrme Equation of State in asymmetric nuclear matter
• Effect of nucleon effective mass and symmetry energy on the neutrino mean free path in a neutron star
• Satisfying the compressibility sum rule in neutron matter
• Nuclear response functions with finite range Gogny force: tensor terms and instabilities
• Linear response theory in asymmetric nuclear matter for Skyrme functionals including spin-orbit and tensor terms II: Charge Exchange
• Time-dependent nuclear energy-density functional theory toolkit for neutron star crust: Dynamics of a nucleus in a neutron superfluid
• New Skyrme parametrizations to describe finite nuclei and neutron star matter with realistic effective masses
• The nuclear symmetry energy and other isovector observables from the point of view of nuclear structure
• Neutron matter at the interface(s): static response and effective mass
• Skyrme-based extrapolation for the static response of neutron matter
• New Skyrme parametrizations to describe finite nuclei and neutron star matter with realistic effective masses. II. Adjusting the spin-dependent terms
• $\beta$-delayed $\gamma$-proton decay in ${}^{56}$Zn: analysis of the charged-particle spectrum