Spin-orbit interaction in relativistic nuclear structure models

Abstract

Relativistic self-consistent mean-field (SCMF) models naturally account for the coupling of the nucleon spin to its orbital motion, whereas non-relativistic SCMF methods necessitate a phenomenological ansatz for the effective spin-orbit potential. Recent experimental studies aim to explore the isospin properties of the effective spin-orbit interaction in nuclei. SCMF models are very useful in the interpretation of the corresponding data, however standard relativistic mean-field and non-relativistic Hartree-Fock models use effective spin-orbit potentials with different isovector properties, mainly because exchange contributions are not treated explicitly in the former. The impact of exchange terms on the effective spin-orbit potential in relativistic mean-field models is analysed, and it is shown that it leads to an isovector structure similar to the one used in standard non-relativistic Hartree-Fock. Data on the isospin dependence of spin-orbit splittings in spherical nuclei could be used to constrain the isovector-scalar channel of relativistic mean-field models. The reproduction of the empirical kink in the isotope shifts of even Pb nuclei by relativistic effective interactions points to the occurrence of pseudospin symmetry in the single-neutron spectra in these nuclei.

References in corpus (18)

• Relativistic Nuclear Energy Density Functionals: adjusting parameters to binding energies
• The Skyrme Interaction in finite nuclei and nuclear matter
• Relativistic Hartree-Bogoliubov model with density-dependent meson-nucleon couplings
• Relativistic mean field interaction with density dependent meson-nucleon vertices based on microscopical calculations
• Isospin Dependence of the Spin-Orbit Force and Effective Nuclear Potentials
• Isospin Dependence of the Spin-Orbit Force and Effective Nuclear Potentials,
• Evolution of Nuclear Shell Structure due to the Pion Exchange Potential
• Reduction of the spin-orbit potential in light drip-line nuclei
• Early onset of ground-state deformation in the neutron-deficient polonium isotopes
• Non-observable nature of the nuclear shell structure. Meaning, illustrations and consequences
• Why is lead so kinky?
• Experimental study of the two-body spin-orbit force
• Beyond-mean-field study of the possible "bubble" structure of 34Si
• Localized form of Fock terms in nuclear covariant density functional theory
• The nonrelativistic limit of the relativistic point coupling model
• The Slater approximation for Coulomb exchange effects in nuclear covariant density functional theory
• Relativistic Hartree-Fock-Bogoliubov model for deformed nuclei
• Finite- to zero-range relativistic mean-field interactions

Cited by in corpus (8)

• Spin-orbit splittings of neutron states in $N=20$ isotones from covariant density functionals and their extensions
• Contribution of the rho meson and quark sub-structure to the nuclear spin-orbit potential
• Symmetry breaking of Gamow-Teller and magnetic-dipole transitions and its restoration in calcium isotopes
• Localisation and alpha radioactivity
• Impact of finite-range spin-orbit and tensor terms in Gogny EDF
• Effects of isovector spin-orbit interaction on the charge-weak form factor difference in ${}^{48}$Ca, ${}^{208}$Pb, ${}^{90}$Zr and ${}^{62}$Ni
• Implication of odd-even staggering in the charge radii of calcium isotopes
• Nuclear Matter and Finite Nuclei: Relativistic Thomas-Fermi Approximation Versus Relativistic Mean-Field Approach