Spin-orbit coupling in nuclei and realistic nucleon-nucleon potentials

Abstract

We analyze the spin-orbit coupling term in the nuclear energy density functional in terms of a zero-range NN-contact interaction and finite-range contributions from two-pion exchange. We show that the strength of the spin-orbit contact interaction as extracted from high-precision nucleon-nucleon potentials is in perfect agreement with that of phenomenological Skyrme forces employed in non-relativistic nuclear structure calculations. Additional long-range contributions from chiral two-pion exchange turn out to be relatively small. These explicitly density-dependent contributions reduce the ratio of the isovector to the isoscalar spin-orbit strength significantly below the Skyrme value 1/3. We perform a similar analysis for the strength function of the $(\vec{\nabla }\rho {)}^2$-term and find values not far from those of phenomenological Skyrme parameterizations.

10 pages, 3 figures, accepted for publication in Physical Review C70 (2004)

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• Resonance saturation for four-nucleon operators
• Chiral $2\pi$-exchange NN-potentials: Two-loop contributions
• Relativistic nuclear model with point-couplings constrained by QCD and chiral symmetry
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Cited by in corpus (10)

• Cold neutrons trapped in external fields
• Relativistic nuclear energy density functional constrained by low-energy QCD
• Hypernuclear single particle spectra based on in-medium chiral SU(3) dynamics
• Nuclear energy density functional from chiral pion-nucleon dynamics revisited
• Strength of reduced two-body spin-orbit interaction from chiral three-nucleon force
• The relativistic self-energy in nuclear dynamics
• Note on spin-orbit interactions in nuclei and hypernuclei
• Nuclear energy density functional from chiral pion-nucleon dynamics: Isovector terms
• Hypernuclei and in-medium chiral dynamics
• Effects of isovector spin-orbit interaction on the charge-weak form factor difference in ${}^{48}$Ca, ${}^{208}$Pb, ${}^{90}$Zr and ${}^{62}$Ni