Tensor interaction in mean-field and density functional theory approaches to nuclear structure

Abstract

The importance of the tensor force for nuclear structure has been recognized long ago. Recently, the interest for this topic has been revived by the study of the evolution of nuclear properties far from the stability line. However, in the context of the effective theories that describe medium-heavy nuclei, the role of the tensor force is still debated. This review focuses on ground-state properties like masses and deformation, on single-particle states, and on excited vibrational and rotational modes. The goal is to assess which properties, if any, can bring clear signatures of the tensor force within the mean-field or density functional theory framework. It will be concluded that, while evidences for a clear neutron-proton tensor force exist despite quantitative uncertainties, the role of the tensor force among equal particles is less well established.

Review paper to be published in Progress in Particle and Nuclear Physics

References in corpus (8)

• Chiral effective field theory and nuclear forces
• Nuclear magic numbers: new features far from stability
• Exotic modes of excitation in atomic nuclei far from stability
• Spin-orbit splitting and the tensor component of the Skyrme interaction
• Spin-isospin resonances: A self-consistent covariant description
• Tensor-optimized shell model with bare nucleon-nucleon interaction for 4He
• Tensor parameters in Skyrme and Gogny effective interactions: Trends from a ground-state-focused study
• Systematic study of ${}^{9,10,11}$Li with the tensor and pairing correlations

Cited by in corpus (47)

• Nuclear ground-state masses and deformations: FRDM(2012)
• Evolution of shell structure in exotic nuclei
• Hidden pseudospin and spin symmetries and their origins in atomic nuclei
• Nuclear Equation of State from ground and collective excited state properties of nuclei
• Towards an ab initio covariant density functional for nuclear structure
• Relativistic parameterizations of neutron matter and implications for neutron stars
• Low-Energy Heavy-Ion Reactions and the Skyrme Effective Interaction
• Magicity of neutron-rich isotopes within relativistic self-consistent approaches
• The Nuclear Tensor Interaction in Covariant Energy Density Functional
• Properties of single-particle states in a fully self-consistent particle-vibration coupling approach
• Irregularities in nuclear radii at magic numbers
• Effects of tensor forces in nuclear spin-orbit splittings from ab initio calculations
• Skyrme functional with tensor terms from \textit{ab initio} calculations of neutron-proton drops
• Covariance analysis for Energy Density Functionals and instabilities
• Effective density functionals beyond mean field
• Solution of Hartree-Fock-Bogoliubov equations and fitting procedure using N2LO Skyrme pseudo-potential in spherical symmetry
• Quantitative analysis of tensor effects in the relativistic Hartree-Fock theory
• Relativistic Hartree-Fock-Bogoliubov model for axially deformed nuclei
• Shape evolution of Zr nuclei and roles of tensor force
• Influence of the tensor interaction on heavy-ion fusion cross sections
• Linear response theory in asymmetric nuclear matter for Skyrme functionals including spin-orbit and tensor terms
• Properties of exotic nuclei and their linkage to the nucleonic interaction
• Thermal QRPA with Skyrme interactions and supernova neutral-current neutrino-nucleus reactions
• Infinite matter properties and zero-range limit of nonrelativistic finite-range interactions
• Tensor and pairing interactions within the QMC energy density functional
• Tensor Fermi liquid parameters in nuclear matter from chiral effective field theory
• Estimation of 2p2h effect on Gamow-Teller transition with Second Tamm-Dancoff-Approximation
• Skyrme density functional description of the double magic ${}^{78}$Ni nucleus
• Linear Response Theory with finite-range interactions
• Behaviour of pf shell under RMF+BCS Description
• Tensor-force effects on nuclear matter in relativistic ab initio theory
• Breakdown of the tensor component in the Skyrme energy density functional
• Effects of the tensor force on low-energy heavy-ion fusion reactions: A mini review
• Partial wave decomposition of finite-range effective tensor interaction
• Covariant energy density functionals with and without tensor couplings at the Hartree-Bogoliubov level
• Sign-Problem-Free Nuclear Quantum Monte Carlo Simulation
• Impacts of the tensor couplings of $\omega$ and $\rho$ mesons and Coulomb exchange terms on super-heavy nuclei and their relation to symmetry energy
• Configuration interaction relativistic Hartree-Fock model
• 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
• Nuclear multipole responses from chiral effective field theory interaction
• Theory of nuclear collective vibrations
• Significance of tensor force in pseudo-spin symmetry
• Comment on "Breakdown of the tensor component in the Skyrme energy density functional''
• Effects of Tensor Force in the Relativistic Scheme: A Case Study of Neutron Drops
• Volution of nuclear spin-orbit splittings with Skyrme functional SAMi-T
• Can realistic interaction be useful for nuclear mean-field approaches?