Elsevier

Physics Letters B

Volume 338, Issue 1, 20 October 1994, Pages 1-6
Physics Letters B

Isotope shifts within the energy-density functional approach with density dependent pairing

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Abstract

We demonstrate that incorporating a density-dependent pairing-correlation term in the energy-density functional allows one to self-consistently reproduce the observed trends both in nuclear binding energies and in charge radii including odd-even staggering effects and kinks at magic neutron numbers. Results for calcium, tin and lead isotopes are presented and discussed.

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      When computing the expectation value of such pseudo-potentials on a many-body product state of single-particle wave functions (Slater determinant), both the resulting energy and the nuclear mean field become functionals of the density of particles [133]. Direct parameterizations of the energy density have also been proposed, with varying success [126,134–137]. Note that the effective potentials need not be restricted to two-body terms only: three- and higher-order many-body interactions could be included as well [138,139].

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    This work was supported in part by the DFG (Deutsche Forschungsgemeinschaft) and also by the Grant ML8000 from the International Science Foundation.

    1

    Discussions with J.-F. Berger, E. Roeckl and J. Wambach are gratefully acknowledged

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