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Title: Shell corrections for finite-depth deformed potentials: Green's function oscillator expansion method

Abstract

Shell corrections of the finite deformed Woods-Saxon potential are calculated using the Green's function method and the generalized Strutinsky smoothing procedure. They are compared with the results of the standard prescription which are affected by the spurious contribution from the unphysical particle gas. In the new method, the shell correction approaches the exact limit provided that the dimension of the single-particle (harmonic oscillator) basis is sufficiently large. For spherical potentials, the present method is faster than the exact one in which the contribution from the particle continuum states is explicitly calculated. For deformed potentials, the Green's function method offers a practical and reliable way of calculating shell corrections for weakly bound nuclei. (c) 2000 The American Physical Society.

Authors:
 [1];  [2];  [1];  [3];  [2];  [4]
  1. Institute of Nuclear Research of the Hungarian Academy of Sciences, P.O. Box 51, H-4001, Debrecen, (Hungary)
  2. (United States)
  3. Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996 (United States)
  4. (Poland)
Publication Date:
OSTI Identifier:
20216923
Resource Type:
Journal Article
Journal Name:
Physical Review. C, Nuclear Physics
Additional Journal Information:
Journal Volume: 61; Journal Issue: 6; Other Information: PBD: Jun 2000; Journal ID: ISSN 0556-2813
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; WOODS-SAXON POTENTIAL; SHELL MODELS; GREEN FUNCTION; HARMONIC OSCILLATOR MODELS; THEORETICAL DATA

Citation Formats

Vertse, T., Joint Institute for Heavy Ion Research, Oak Ridge National Laboratory, P.O. Box 2008, Oak Ridge, Tennessee 37831, Kruppa, A. T., Nazarewicz, W., Physics Division, Oak Ridge National Laboratory, P.O. Box 2008, Oak Ridge, Tennessee 37831, and Institute of Theoretical Physics, Warsaw University, ul. Hoza 69, PL-00681, Warsaw,. Shell corrections for finite-depth deformed potentials: Green's function oscillator expansion method. United States: N. p., 2000. Web. doi:10.1103/PhysRevC.61.064317.
Vertse, T., Joint Institute for Heavy Ion Research, Oak Ridge National Laboratory, P.O. Box 2008, Oak Ridge, Tennessee 37831, Kruppa, A. T., Nazarewicz, W., Physics Division, Oak Ridge National Laboratory, P.O. Box 2008, Oak Ridge, Tennessee 37831, & Institute of Theoretical Physics, Warsaw University, ul. Hoza 69, PL-00681, Warsaw,. Shell corrections for finite-depth deformed potentials: Green's function oscillator expansion method. United States. doi:10.1103/PhysRevC.61.064317.
Vertse, T., Joint Institute for Heavy Ion Research, Oak Ridge National Laboratory, P.O. Box 2008, Oak Ridge, Tennessee 37831, Kruppa, A. T., Nazarewicz, W., Physics Division, Oak Ridge National Laboratory, P.O. Box 2008, Oak Ridge, Tennessee 37831, and Institute of Theoretical Physics, Warsaw University, ul. Hoza 69, PL-00681, Warsaw,. Thu . "Shell corrections for finite-depth deformed potentials: Green's function oscillator expansion method". United States. doi:10.1103/PhysRevC.61.064317.
@article{osti_20216923,
title = {Shell corrections for finite-depth deformed potentials: Green's function oscillator expansion method},
author = {Vertse, T. and Joint Institute for Heavy Ion Research, Oak Ridge National Laboratory, P.O. Box 2008, Oak Ridge, Tennessee 37831 and Kruppa, A. T. and Nazarewicz, W. and Physics Division, Oak Ridge National Laboratory, P.O. Box 2008, Oak Ridge, Tennessee 37831 and Institute of Theoretical Physics, Warsaw University, ul. Hoza 69, PL-00681, Warsaw,},
abstractNote = {Shell corrections of the finite deformed Woods-Saxon potential are calculated using the Green's function method and the generalized Strutinsky smoothing procedure. They are compared with the results of the standard prescription which are affected by the spurious contribution from the unphysical particle gas. In the new method, the shell correction approaches the exact limit provided that the dimension of the single-particle (harmonic oscillator) basis is sufficiently large. For spherical potentials, the present method is faster than the exact one in which the contribution from the particle continuum states is explicitly calculated. For deformed potentials, the Green's function method offers a practical and reliable way of calculating shell corrections for weakly bound nuclei. (c) 2000 The American Physical Society.},
doi = {10.1103/PhysRevC.61.064317},
journal = {Physical Review. C, Nuclear Physics},
issn = {0556-2813},
number = 6,
volume = 61,
place = {United States},
year = {2000},
month = {6}
}