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Robbins, F
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Robbins, F
author Amos, K
Robbins, F
spellingShingle Amos, K
Robbins, F
Australian Journal of Physics
Surface Effects on the Energy Gap in Nuclear Matter
General Physics and Astronomy
author_sort amos, k
spelling Amos, K Robbins, F 0004-9506 CSIRO Publishing General Physics and Astronomy http://dx.doi.org/10.1071/ph820017 <jats:p>The energy gap in the intrinsic excitation spectra of even-even nuclei is calculated in the BCS approximation starting from separable interactions adjusted to fit 'So nucleon scattering data. Simplified nuclear models are used to investigate the relation between the surface properties and the value of the energy gap in finite nuclei and, in particular, we consider a slab model of infinite extent in two directions but finite in the third direction and of variable surface thickness. An effective length of the slab is defined and this is held constant while the density profile is varied. For a fixed effective mass, it is found that the energy gap is essentially determined by the effective length for a particular interaction. On the other hand, radically diverse variations of the energy gap with effective length are obtained for potentials that differ appreciably in their repulsive character in infinite nuclear matter. This sensitivity may be fortuitous however, as the slab model underestimates the finite volume contribution to the pairing matrix elements and overestimates the importance of the infinite matter properties of the potential.</jats:p> Surface Effects on the Energy Gap in Nuclear Matter Australian Journal of Physics
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title Surface Effects on the Energy Gap in Nuclear Matter
title_unstemmed Surface Effects on the Energy Gap in Nuclear Matter
title_full Surface Effects on the Energy Gap in Nuclear Matter
title_fullStr Surface Effects on the Energy Gap in Nuclear Matter
title_full_unstemmed Surface Effects on the Energy Gap in Nuclear Matter
title_short Surface Effects on the Energy Gap in Nuclear Matter
title_sort surface effects on the energy gap in nuclear matter
topic General Physics and Astronomy
url http://dx.doi.org/10.1071/ph820017
publishDate 1982
physical 17
description <jats:p>The energy gap in the intrinsic excitation spectra of even-even nuclei is calculated in the BCS approximation starting from separable interactions adjusted to fit 'So nucleon scattering data. Simplified nuclear models are used to investigate the relation between the surface properties and the value of the energy gap in finite nuclei and, in particular, we consider a slab model of infinite extent in two directions but finite in the third direction and of variable surface thickness. An effective length of the slab is defined and this is held constant while the density profile is varied. For a fixed effective mass, it is found that the energy gap is essentially determined by the effective length for a particular interaction. On the other hand, radically diverse variations of the energy gap with effective length are obtained for potentials that differ appreciably in their repulsive character in infinite nuclear matter. This sensitivity may be fortuitous however, as the slab model underestimates the finite volume contribution to the pairing matrix elements and overestimates the importance of the infinite matter properties of the potential.</jats:p>
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author Amos, K, Robbins, F
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description <jats:p>The energy gap in the intrinsic excitation spectra of even-even nuclei is calculated in the BCS approximation starting from separable interactions adjusted to fit 'So nucleon scattering data. Simplified nuclear models are used to investigate the relation between the surface properties and the value of the energy gap in finite nuclei and, in particular, we consider a slab model of infinite extent in two directions but finite in the third direction and of variable surface thickness. An effective length of the slab is defined and this is held constant while the density profile is varied. For a fixed effective mass, it is found that the energy gap is essentially determined by the effective length for a particular interaction. On the other hand, radically diverse variations of the energy gap with effective length are obtained for potentials that differ appreciably in their repulsive character in infinite nuclear matter. This sensitivity may be fortuitous however, as the slab model underestimates the finite volume contribution to the pairing matrix elements and overestimates the importance of the infinite matter properties of the potential.</jats:p>
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id ai-49-aHR0cDovL2R4LmRvaS5vcmcvMTAuMTA3MS9waDgyMDAxNw
imprint CSIRO Publishing, 1982
imprint_str_mv CSIRO Publishing, 1982
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publishDate 1982
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publisher CSIRO Publishing
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series Australian Journal of Physics
source_id 49
spelling Amos, K Robbins, F 0004-9506 CSIRO Publishing General Physics and Astronomy http://dx.doi.org/10.1071/ph820017 <jats:p>The energy gap in the intrinsic excitation spectra of even-even nuclei is calculated in the BCS approximation starting from separable interactions adjusted to fit 'So nucleon scattering data. Simplified nuclear models are used to investigate the relation between the surface properties and the value of the energy gap in finite nuclei and, in particular, we consider a slab model of infinite extent in two directions but finite in the third direction and of variable surface thickness. An effective length of the slab is defined and this is held constant while the density profile is varied. For a fixed effective mass, it is found that the energy gap is essentially determined by the effective length for a particular interaction. On the other hand, radically diverse variations of the energy gap with effective length are obtained for potentials that differ appreciably in their repulsive character in infinite nuclear matter. This sensitivity may be fortuitous however, as the slab model underestimates the finite volume contribution to the pairing matrix elements and overestimates the importance of the infinite matter properties of the potential.</jats:p> Surface Effects on the Energy Gap in Nuclear Matter Australian Journal of Physics
spellingShingle Amos, K, Robbins, F, Australian Journal of Physics, Surface Effects on the Energy Gap in Nuclear Matter, General Physics and Astronomy
title Surface Effects on the Energy Gap in Nuclear Matter
title_full Surface Effects on the Energy Gap in Nuclear Matter
title_fullStr Surface Effects on the Energy Gap in Nuclear Matter
title_full_unstemmed Surface Effects on the Energy Gap in Nuclear Matter
title_short Surface Effects on the Energy Gap in Nuclear Matter
title_sort surface effects on the energy gap in nuclear matter
title_unstemmed Surface Effects on the Energy Gap in Nuclear Matter
topic General Physics and Astronomy
url http://dx.doi.org/10.1071/ph820017