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

N. Kaiser
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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 $(\vec \nabla ρ)^2$-term and find values not far from those of phenomenological Skyrme parameterizations.

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N. Kaiser. 2004-07-30. Spin-orbit coupling in nuclei and realistic nucleon-nucleon potentials. https://doi.org/10.1103/physrevc.70.034307

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