Density-Matrix Expansion for an Effective Nuclear Hamiltonian

J. W. Negele and D. Vautherin
Phys. Rev. C 5, 1472 – Published 1 May 1972
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Abstract

An expansion for the nuclear wave-function density matrix in relative and c.m. coordinates is developed such that the leading term is the corresponding nuclear-matter density matrix at the local neutron and proton density. Truncation of all derivatives beyond second order yields an extremely simple form for the energy density which retains all the computational simplicity of the modified δ interaction and the Skyrme force, while maintaining contact with nuclear-matter theory based on a realistic interaction and reproducing the results of more-complicated density-dependent Hartree-Fock calculations.

  • Received 13 December 1971

DOI:https://doi.org/10.1103/PhysRevC.5.1472

©1972 American Physical Society

Authors & Affiliations

J. W. Negele and D. Vautherin*

  • Laboratory for Nuclear Science and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

  • *On leave of absence from the Institut de Physique Nucléaire, Division de Physique Théorique, 91-Orsay, France.

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Vol. 5, Iss. 5 — May 1972

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