Bound state densities and the Helmholtz free energy

Bohr's conception of the compound nucleus is based on the idea of ‘longlived’ nuclear states in which all single particles are bound. We briefly discuss the properties of the density of bound states and then use two prescriptions, that of Brack and Quentin and that of Bonche, Levit e Vautherin...

Full description

Bibliographic Details
Main Authors: Souza S.R., Donangelo R., Carlson B.V., Dutra M., Dalmolin F.T.
Format: Article
Language:English
Published: EDP Sciences 2012-02-01
Series:EPJ Web of Conferences
Online Access:http://dx.doi.org/10.1051/epjconf/20122110003
_version_ 1819125373920608256
author Souza S.R.
Donangelo R.
Carlson B.V.
Dutra M.
Dalmolin F.T.
author_facet Souza S.R.
Donangelo R.
Carlson B.V.
Dutra M.
Dalmolin F.T.
author_sort Souza S.R.
collection DOAJ
description Bohr's conception of the compound nucleus is based on the idea of ‘longlived’ nuclear states in which all single particles are bound. We briefly discuss the properties of the density of bound states and then use two prescriptions, that of Brack and Quentin and that of Bonche, Levit e Vautherin to calculate the equivalent temperaturedependent quantity – the Helmholtz free energy.We compare the temperature dependence of the latter, as well as that of the excitation energy and entropy, obtained using the two prescriptions in self-consistent calculations within the relativistic Hartree and Skyrme models. We then discuss the extended, temperature-dependent liquid-drop approximation to the excitation and free energies obtained from fits to the self-consistent calculations over a wide range of charge and mass numbers.
first_indexed 2024-12-22T07:39:07Z
format Article
id doaj.art-250c58c9c8834823a049edeefcfb4c4b
institution Directory Open Access Journal
issn 2100-014X
language English
last_indexed 2024-12-22T07:39:07Z
publishDate 2012-02-01
publisher EDP Sciences
record_format Article
series EPJ Web of Conferences
spelling doaj.art-250c58c9c8834823a049edeefcfb4c4b2022-12-21T18:33:47ZengEDP SciencesEPJ Web of Conferences2100-014X2012-02-01211000310.1051/epjconf/20122110003Bound state densities and the Helmholtz free energySouza S.R.Donangelo R.Carlson B.V.Dutra M.Dalmolin F.T.Bohr's conception of the compound nucleus is based on the idea of ‘longlived’ nuclear states in which all single particles are bound. We briefly discuss the properties of the density of bound states and then use two prescriptions, that of Brack and Quentin and that of Bonche, Levit e Vautherin to calculate the equivalent temperaturedependent quantity – the Helmholtz free energy.We compare the temperature dependence of the latter, as well as that of the excitation energy and entropy, obtained using the two prescriptions in self-consistent calculations within the relativistic Hartree and Skyrme models. We then discuss the extended, temperature-dependent liquid-drop approximation to the excitation and free energies obtained from fits to the self-consistent calculations over a wide range of charge and mass numbers.http://dx.doi.org/10.1051/epjconf/20122110003
spellingShingle Souza S.R.
Donangelo R.
Carlson B.V.
Dutra M.
Dalmolin F.T.
Bound state densities and the Helmholtz free energy
EPJ Web of Conferences
title Bound state densities and the Helmholtz free energy
title_full Bound state densities and the Helmholtz free energy
title_fullStr Bound state densities and the Helmholtz free energy
title_full_unstemmed Bound state densities and the Helmholtz free energy
title_short Bound state densities and the Helmholtz free energy
title_sort bound state densities and the helmholtz free energy
url http://dx.doi.org/10.1051/epjconf/20122110003
work_keys_str_mv AT souzasr boundstatedensitiesandthehelmholtzfreeenergy
AT donangelor boundstatedensitiesandthehelmholtzfreeenergy
AT carlsonbv boundstatedensitiesandthehelmholtzfreeenergy
AT dutram boundstatedensitiesandthehelmholtzfreeenergy
AT dalmolinft boundstatedensitiesandthehelmholtzfreeenergy