Skyrme Functional with Tensor Terms from ab initio Calculations: Results for the Spin-Orbit Splittings

Abstract

A new Skyrme functional including tensor terms is presented. The tensor terms have been determined by fitting the results of relativistic Brueckner-Hartree-Fock (RBHF) studies on neutron-proton drops. Unlike all previous studies, where the tensor terms were usually determined by fitting to experimental data of single-particle levels, the pseudodata calculated by RBHF does not contain beyond mean-field effect such as the particle-vibration coupling and, therefore, can provide information on the tensor term without ambiguities. The obtained new functional, named SAMi-T, can describe well ground-state properties such as binding energies, radii, spin-orbit splittings and, at the same time, the excited state properties such as those of the Giant Monopole Resonance (GMR), Giant Dipole Resonance (GDR), Gamow-Teller Resonance (GTR), and Spin-Dipole Resonance (SDR).

arXiv commentXXV Nuclear Physics Workshop "Maria and Pierre Curie" Structure And Dynamics Of Atomic Nuclei 25-30.09.2018, Kazimierz Dolny, Poland

References in corpus (18)

• The tensor part of the Skyrme energy density functional. I. Spherical nuclei
• Nuclear Equation of State from ground and collective excited state properties of nuclei
• Spin-orbit splitting and the tensor component of the Skyrme interaction
• New Result in the Production and Decay of an Isotope, 278[113], of the 113th Element
• Enhanced Stability of Superheavy Nuclei due to High-Spin Isomerism
• A new Skyrme interaction with improved spin-isospin properties
• Tensor interaction contributions to single-particle energies
• Escape and Spreading Properties of Charge-Exchange Resonances in Bi 208
• Evolution of nuclear shells with the Skyrme density dependent interaction
• Dynamics of nuclear single-particle structure in covariant theory of particle-vibration coupling: from light to superheavy nuclei
• The neutron drip line: single-particle degrees of freedom and pairing properties as sources of theoretical uncertainties
• The Gamow-Teller response within Skyrme random-phase approximation plus particle-vibration coupling
• Fully self-consistent relativistic Brueckner-Hartree-Fock theory for finite nuclei
• Relativistic Brueckner-Hartree-Fock theory for finite nuclei
• Skyrme functional with tensor terms from \textit{ab initio} calculations of neutron-proton drops
• Effects of tensor forces in nuclear spin-orbit splittings from ab initio calculations
• Relativistic Brueckner-Hartree-Fock theory for neutron drops
• Spin symmetry in the Dirac sea derived from the bare nucleon-nucleon interaction