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.
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Submitted on : Tuesday, August 23, 2016 - 2:32:11 PM
Last modification on : Monday, October 15, 2018 - 3:54:03 PM

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  • HAL Id : in2p3-01355491, version 1
  • ARXIV : 1607.06567

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J. -P. Ebran, A. Mutschler, E. Khan, D. Vretenar. Spin-orbit interaction in relativistic nuclear structure models. 2016. ⟨in2p3-01355491⟩

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