Skyrme functional with tensor terms from \textit{ab initio} calculations of neutron-proton drops

Abstract

A new Skyrme functional devised to account well for standard nuclear properties as well as for spin and spin-isospin properties is presented. The main novelty of this work relies on the introduction of tensor terms guided by \textit{ab initio} relativistic Brueckner-Hartree-Fock calculations of neutron-proton drops. The inclusion of tensor term does not decrease the accuracy in describing bulk properties of nuclei, experimental data of some selected spherical nuclei such as binding energies, charge radii, and spin-orbit splittings can be well fitted. The new functional is applied to the investigation of various collective excitations such as the Giant Monopole Resonance (GMR), the Isovector Giant Dipole Resonance (IVGDR), the Gamow-Teller Resonance (GTR), and the Spin-Dipole Resonance (SDR). The overall description with the new functional is satisfactory and the tensor terms are shown to be important particularly for the improvement of the Spin-Dipole Resonance results. Predictions for the neutron skin thickness based on the non-energy weighted sum rule of the Spin-Dipole Resonance are also given.

16 pages, 12 figures

References in corpus (26)

• Chiral effective field theory and nuclear forces
• Nuclear Equation of State from ground and collective excited state properties of nuclei
• Spin-orbit splitting and the tensor component of the Skyrme interaction
• A new Skyrme interaction with improved spin-isospin properties
• Neutron matter from chiral two- and three-nucleon calculations up to N${}^3$LO
• Neutron density distributions from antiprotonic 208Pb and 209Bi atoms
• Tensor interaction contributions to single-particle energies
• Evolution of Nuclear Shell Structure due to the Pion Exchange Potential
• Spin-orbit and tensor mean-field effects on spin-orbit splitting including self-consistent core polarizations
• Evolution of nuclear shells with the Skyrme density dependent interaction
• Cold neutrons trapped in external fields
• The Gamow-Teller response within Skyrme random-phase approximation plus particle-vibration coupling
• The nuclear symmetry energy and the breaking of the isospin symmetry: how do they reconcile with each other?
• Relativistic Brueckner-Hartree-Fock theory for finite nuclei
• The Nuclear Tensor Interaction in Covariant Energy Density Functional
• Neutron Skin Thickness of 90Zr Determined By Charge Exchange Reactions
• Effects of tensor forces in nuclear spin-orbit splittings from ab initio calculations
• Quantitative analysis of tensor effects in the relativistic Hartree-Fock theory
• Ab Initio study of neutron drops with chiral Hamiltonians
• Functional Renormalization Group and Kohn-Sham scheme in Density Functional Theory
• Relativistic Brueckner-Hartree-Fock theory for neutron drops
• Energy-density functionals inspired by effective-field theories: Applications to neutron drops
• Relativistic interpretation on the nature of nuclear tensor force
• Spin-orbit splittings of neutron states in $N=20$ isotones from covariant density functionals and their extensions
• Spin symmetry in the Dirac sea derived from the bare nucleon-nucleon interaction
• Skyrme density functional description of the double magic ${}^{78}$Ni nucleus

Cited by in corpus (19)

• A Guided Tour of Ab Initio Nuclear Many-Body Theory
• Towards an ab initio covariant density functional for nuclear structure
• Compiled Properties of Nucleonic Matter and Nuclear and Neutron Star Models from Non-Relativistic and Relativistic Interactions
• Comparative study on charge radii and their kinks at magic numbers
• Toward ab initio charge symmetry breaking in nuclear energy density functionals
• Improvement of functionals in density functional theory by the inverse Kohn--Sham method and density functional perturbation theory
• Quenching factor of Gamow-Teller and spin dipole giant resonances
• Covariant energy density functionals with and without tensor couplings at the Hartree-Bogoliubov level
• The N=50 and Z=28 shell closure revisited
• The finite range simple effective interaction including tensor terms
• The Spin Orbit term in the Nuclear Shell Model
• Exploring effects of tensor force and its strength via neutron drops
• Tensor-force effects on shell-structure evolution in $N=82$ isotones and $Z=50$ isotopes in the relativistic Hartree-Fock theory
• Perturbed nuclear matter studied within Density Functional Theory with a finite number of particles
• On deformability of atoms---comparative study between atoms and atomic nuclei
• In-medium nucleon-nucleon cross sections from relativistic ab initio calculations
• Impact of finite-range spin-orbit and tensor terms in Gogny EDF
• Skyrme Functional with Tensor Terms from ab initio Calculations: Results for the Spin-Orbit Splittings
• Neutron drop trapped in axially deformed external fields