Deformation and shell effects in nuclear mass formulas

We analyze the ability of three different Liquid Drop Mass (LDM) formulas to describe nuclear masses for nuclei in various deformation regions. Separating the 2149 measured nuclear species into eight sets with similar quadrupole deformations, we show that the masses of prolate deformed nuclei are be...

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Autores principales: Barbero, César Alberto, Hirsch, Jorge G., Mariano, Alejandro Edgardo
Formato: Articulo
Lenguaje:Inglés
Publicado: 2012
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Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/129357
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id I19-R120-10915-129357
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Nuclear masses
Binding energies
Mass models
Duflo-Zuker
spellingShingle Física
Nuclear masses
Binding energies
Mass models
Duflo-Zuker
Barbero, César Alberto
Hirsch, Jorge G.
Mariano, Alejandro Edgardo
Deformation and shell effects in nuclear mass formulas
topic_facet Física
Nuclear masses
Binding energies
Mass models
Duflo-Zuker
description We analyze the ability of three different Liquid Drop Mass (LDM) formulas to describe nuclear masses for nuclei in various deformation regions. Separating the 2149 measured nuclear species into eight sets with similar quadrupole deformations, we show that the masses of prolate deformed nuclei are better described than those of spherical ones. In fact, the prolate deformed nuclei are fitted with an RMS smaller than 750 keV, while for spherical and semi-magic species the RMS is always larger than 2000 keV. These results are found to be independent of pairing. It is also shown that the macroscopic sector of the Duflo–Zuker (DZ) mass model reproduces shell effects, while most of the deformation dependence is lost and the RMS is larger than in any LDM. Adding to the LDM the microscopically motivated DZ master terms introduces the shell effects, allowing for a significant reduction in the RMS of the fit but still exhibiting a better description of prolate deformed nuclei. The inclusion of shell effects following the Interacting Boson Modelʼs ideas produces similar results.
format Articulo
Articulo
author Barbero, César Alberto
Hirsch, Jorge G.
Mariano, Alejandro Edgardo
author_facet Barbero, César Alberto
Hirsch, Jorge G.
Mariano, Alejandro Edgardo
author_sort Barbero, César Alberto
title Deformation and shell effects in nuclear mass formulas
title_short Deformation and shell effects in nuclear mass formulas
title_full Deformation and shell effects in nuclear mass formulas
title_fullStr Deformation and shell effects in nuclear mass formulas
title_full_unstemmed Deformation and shell effects in nuclear mass formulas
title_sort deformation and shell effects in nuclear mass formulas
publishDate 2012
url http://sedici.unlp.edu.ar/handle/10915/129357
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AT hirschjorgeg deformationandshelleffectsinnuclearmassformulas
AT marianoalejandroedgardo deformationandshelleffectsinnuclearmassformulas
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