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Resonant continuum in the Hartree-Fock+BCS approximation (1998)
BibTeX
@MISC{A98resonantcontinuum,
author = {Ulescu A and Nguyen Van Giai B and R. J. Liotta C},
title = {Resonant continuum in the Hartree-Fock+BCS approximation},
year = {1998}
}
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Abstract
A method for incorporating the effect of the resonant continuum into Hartree-Fock+BCS equations is proposed. This method is implemented for a Skyrme force in the mean field part and for a pairing interaction of seniority type. As an example the influence of the width of resonant states on the pairing properites of nuclei close to the drip line is analyzed. PACS: 21.60.n Keywords: HF+BCS equations; Resonant continuum; Drip line. In nuclei far from the β-stability line there are circumstances in which the resonant part of the particle continuum plays an important role. One of the first examples was given by Migdal [1], who anticipated the existence of halo nuclei of 11 Li type. He has thus shown that two neutrons in a potential well can form a dineutron state in the region of the nuclear surface if the potential has a resonant level with energy close to zero. Here, the role of the resonance is to enhance the pairing correlations of the two neutrons whose attraction is otherwise too weak to bind the system. The enhancement comes from the fact that the wave
Keyphrases
resonant continuum hartree-fock bcs approximation drip line particle continuum hf bcs equation resonant level mean field part halo nucleus stability line hartree-fock bcs equation resonant state pairing correlation skyrme force pairing interaction li type important role resonant part potential well nuclear surface first example seniority type dineutron state
