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A new strategy of fitting the coupling constants of the nuclear energy density functional is proposed, which shifts attention from ground-state bulk to single-particle properties. The latter are analyzed in terms of the bare single-particle energies and mass, shape, and spin core-polarization effects. Fit of the isoscalar spin-orbit and both isoscalar and isovector tensor coupling constants directly to the $ f_{5/2}-f_{7/2}$ spin-orbit splittings in $ ^{40}$Ca, $ ^{56}$Ni, and $ ^{48}$Ca is proposed as a practical realization of this new programme. It is shown that this fit requires drastic changes in the isoscalar spin-orbit strength and the tensor coupling constants as compared to the commonly accepted values but it considerably and systematically improves basic single-particle properties including spin-orbit splittings and magic-gap energies. Impact of these changes on nuclear binding energies is also discussed.

Spin-orbit and tensor mean-field effects on spin-orbit splitting including self-consistent core polarizations

M. Zalewski, J. Dobaczewski, W. Satula, T.R. Werner

Date: May 18, 2008

Jacek Dobaczewski 2008-05-18