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

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

2004-07-30

arxiv.org/abs/nucl-th/0407116v1

Phys.Rev. C70 (2004) 034307

Physics

Nuclear Physics

Nuclear Theory

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

Scientific paper

10.1103/PhysRevC.70.034307

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.

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