Infinite matter properties and zero-range limit of nonrelativistic finite-range interactions

Abstract

We discuss some infinite matter properties of two finite-range interactions widely used for nuclear structure calculations, namely Gogny and M3Y interactions. We show that some useful informations can be deduced for the central, tensor and spin-orbit terms from the spin-isospin channels and the partial wave decomposition of the symmetric nuclear matter equation of state. We show in particular that the central part of the Gogny interaction should benefit from the introduction of a third Gaussian and the tensor parameters of both interactions can be deduced from special combinations of partial waves. We also discuss the fact that the spin-orbit of the M3Y interaction is not compatible with local gauge invariance. Finally, we show that the zero-range limit of both families of interactions coincides with the specific form of the zero-range N3LO Skyrme interaction and we emphasize from this analogy the benefits of N3LO.

arXiv comment30 pages

References in corpus (34)

• Shapiro delay measurement of a two solar mass neutron star
• Determination of the Equation of State of Dense Matter
• Quantum Monte Carlo methods for nuclear physics
• Skyrme Interaction and Nuclear Matter Constraints
• 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
• The tensor part of the Skyrme energy density functional. I. Spherical nuclei
• Quantum Monte Carlo Calculations with Chiral Effective Field Theory Interactions
• Nuclear energy density optimization: Shell structure
• Is nuclear matter perturbative with low-momentum interactions?
• Time-odd components in the mean field of rotating superdeformed nuclei
• Isovector splitting of nucleon effective masses, ab-initio benchmarks and extended stability criteria for Skyrme energy functionals
• Probing the Symmetry Energy with Heavy Ions
• Density-dependent effective nucleon-nucleon interaction from chiral three-nucleon forces
• The equation of state of neutron matter, symmetry energy, and neutron star structure
• Hartree-Fock approach to nuclear matter and finite nuclei with M3Y-type nucleon-nucleon interactions
• Tensor interaction in mean-field and density functional theory approaches to nuclear structure
• Nuclear symmetry energy and the role of the tensor force
• Systematics of the first 2+ excitation with the Gogny interaction
• Effective pseudopotential for energy density functionals with higher order derivatives
• Isovector properties of the Gogny interaction
• Linear response of homogeneous nuclear matter with energy density functionals
• Tensor and tensor-isospin terms in the effective Gogny interaction
• Skyrme functional from a three-body pseudo-potential of second-order in gradients. Formalism for central terms
• Tensor effective interaction in self-consistent Random Phase Approximation calculations
• Convergence of density-matrix expansions for nuclear interactions
• Tensor parameters in Skyrme and Gogny effective interactions: Trends from a ground-state-focused study
• Further evidence for three-nucleon spin-orbit interaction in isotope shifts of $Z=\mathrm{magic}$ nuclei
• Fitting N${}^3$LO pseudopotentials through central plus tensor Landau parameters
• Mass Dependence of M3Y-Type Interactions and the Effects of Tensor Correlations
• Extended Skyrme Equation of State in asymmetric nuclear matter
• Continuity equation and local gauge invariance for the N3LO nuclear Energy Density Functionals
• Nuclear matter response function with a central plus tensor Landau interaction
• Partial wave decomposition of finite-range effective tensor interaction

Cited by in corpus (9)

• Mean field and beyond description of nuclear structure with the Gogny force: A review
• Effective density functionals beyond mean field
• Solution of Hartree-Fock-Bogoliubov equations and fitting procedure using N2LO Skyrme pseudo-potential in spherical symmetry
• Two-body contributions to the effective mass in nuclear effective interactions
• Linear Response Theory with finite-range interactions
• Incorporating Brueckner-Hartree-Fock correlations in the Density Matrix Expansion approach
• Neutron star matter equation of state including $d^{\ast }$-hexaquark degrees of freedom
• Impact of finite-range spin-orbit and tensor terms in Gogny EDF
• Skyrme pseudopotentials at next-to-next-to-leading order Construction of local densities and first symmetry-breaking calculations