Tensor and tensor-isospin terms in the effective Gogny interaction

Abstract

We discuss the need of including tensor terms in the effective Gogny interaction used in mean-field calculations. We show in one illustrative case that, with the usual tensor term that is employed in the Skyrme interaction (and that allows us to separate the like-nucleon and the neutron-proton tensor contributions), we can describe the evolution of the N=28 neutron gap in calcium isotopes. We propose to include a tensor and a tensor-isospin term in finite-range interactions of Gogny type. The parameters of the two tensor terms allow us to treat separately the like-nucleon and the neutron-proton contributions. Two parameterizations of the tensor terms have been chosen to reproduce different neutron single-particle properties in the 48Ca nucleus and the energy of the first 0- state in the 16O nucleus. By employing these two parameterizations we analyze the evolution of the N=14, 28, and 90 neutron energy gaps in oxygen, calcium and tin isotopes, respectively. We show that the combination of the parameters governing the like-nucleon contribution is crucial to correctly reproduce the experimental (where available) or shell-model trends for the evolution of the three neutron gaps under study.

20 pages, 6 figures. Accepted for publication in Physical Review C

References in corpus (6)

• Nuclear magic numbers: new features far from stability
• Spin-orbit splitting and the tensor component of the Skyrme interaction
• Tensor interaction contributions to single-particle energies
• Tensor effective interaction in self-consistent Random Phase Approximation calculations
• Magnetic excitations in nuclei with neutron excess
• Effective tensor forces and neutron rich nuclei

Cited by in corpus (40)

• Evolution of shell structure in exotic nuclei
• Hidden pseudospin and spin symmetries and their origins in atomic nuclei
• Microscopic Theory of Nuclear Fission: A Review
• Mean field and beyond description of nuclear structure with the Gogny force: A review
• Isovector properties of the Gogny interaction
• Magicity of neutron-rich isotopes within relativistic self-consistent approaches
• Linear response of homogeneous nuclear matter with energy density functionals
• The Nuclear Tensor Interaction in Covariant Energy Density Functional
• Tensor-force effects on single-particle levels and proton bubble structure around the $Z$ or $N=20$ magic number
• Toward global beyond-mean-field calculations of nuclear masses and low-energy spectra
• Tensor parameters in Skyrme and Gogny effective interactions: Trends from a ground-state-focused study
• Effects of tensor forces in nuclear spin-orbit splittings from ab initio calculations
• Effective density functionals beyond mean field
• Quantitative analysis of tensor effects in the relativistic Hartree-Fock theory
• Fitting N${}^3$LO pseudopotentials through central plus tensor Landau parameters
• Properties of exotic nuclei and their linkage to the nucleonic interaction
• Two-body contributions to the effective mass in nuclear effective interactions
• Pygmy and giant electric dipole responses of medium-heavy nuclei in a self-consistent Random Phase Approximation approach with finite-range interaction
• Description of the asymmetric to symmetric fission transition in the neutron-deficient Thoriums -- Role of the tensor force
• Infinite matter properties and zero-range limit of nonrelativistic finite-range interactions
• Tensor and pairing interactions within the QMC energy density functional
• Nuclear matter response function with a central plus tensor Landau interaction
• Linear Response Theory with finite-range interactions
• Neutron $2p$ and $1f$ spin--orbit splittings in ${}^{40}$Ca, ${}^{36}$S, and ${}^{34}$Si $N=20$ isotones: tensor--induced and pure spin--orbit effects
• Matter distribution and spin-orbit force in spherical nuclei
• Charge-exchange excitations with finite range interactions including tensor terms
• Nuclear response functions with finite range Gogny force: tensor terms and instabilities
• Covariant energy density functionals with and without tensor couplings at the Hartree-Bogoliubov level
• Charge radii of Ca isotopes and correlations
• The N=50 and Z=28 shell closure revisited
• The finite range simple effective interaction including tensor terms
• Tensor-force effects on shell-structure evolution in $N=82$ isotones and $Z=50$ isotopes in the relativistic Hartree-Fock theory
• Exploring effects of tensor force and its strength via neutron drops
• Tensor force and deformation in even-even nuclei
• Tensor force role in $\beta$ decays analyzed within the Gogny-interaction shell model
• Role of tensor terms of the Skyrme energy-density functional on neutron deformed magic numbers in the rare-earth region
• Effect of short- and long-range correlations on neutron skins of various neutron-rich doubly magic nuclei
• Microscopic description of spontaneous fission based on a Gogny energy density functional including tensor contributions
• Impact of finite-range spin-orbit and tensor terms in Gogny EDF
• Can realistic interaction be useful for nuclear mean-field approaches?