Nuclear matter and neutron-star properties calculated with the Skyrme interaction

The effective Skyrme interaction has been used extensively in mean-field models for several decades and many different parametrizations of the interaction have been proposed. All of these give similar agreement with the experimental observables of nuclear ground states as well as with the properties...

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Main Authors: Stone, JR, Miller, J, Koncewicz, R, Stevenson, P, Strayer, MR
Format: Journal article
Language:English
Published: 2003
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author Stone, JR
Miller, J
Koncewicz, R
Stevenson, P
Strayer, MR
author_facet Stone, JR
Miller, J
Koncewicz, R
Stevenson, P
Strayer, MR
author_sort Stone, JR
collection OXFORD
description The effective Skyrme interaction has been used extensively in mean-field models for several decades and many different parametrizations of the interaction have been proposed. All of these give similar agreement with the experimental observables of nuclear ground states as well as with the properties of infinite symmetric nuclear matter at the saturation density n 0. However, when applied over a wider range of densities (up to ∼3n0) they predict widely varying behavior for the observables of both symmetric and asymmetric nuclear matter. A particularly relevant example of naturally occurring asymmetric nuclear matter is the material of which neutron stars are composed. At around nuclear matter density, this can be well represented as a mixture of neutrons, protons, electrons, and muons (n + p + e + μ matter) in β-equilibrium, and these densities turn out to be the key ones for determining the properties of neutron-star models with masses near to the widely used "canonical" value of 1.4M⊙. By constructing equations of state for neutron-star matter using the different Skyrme parametrizations, calculating corresponding neutron-star models and then comparing these with observational data, an additional constraint can be obtained for the values of the Skyrme parameters. Such a constraint is particularly relevant because the parametrizations are initially determined by fitting to the properties of doubly closed-shell nuclei and it is an open question how suitable they then are for nuclei with high values of isospin, such as those at the neutron drip-line and beyond. The neutron-star environment provides an invaluable testing ground for this. We have carried out an investigation of 87 different Skyrme parametrizations in order to examine how successful they are in predicting the expected properties of infinite nuclear matter and generating plausible neutron-star models. This is the first systematic study of the predictions of the various Skyrme parametrizations for the density dependence of the characteristic observables of nuclear matter; the density dependence of the symmetry energy for β-equilibrium matter turns out to be a crucial property for indicating which Skyrme parameter sets will apply equally well for finite nuclei and for neutron-star matter. Only 27 of the 87 parametrizations investigated pass the test of giving satisfactory neutron-star models and we present a list of these.
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spelling oxford-uuid:201d60f4-f63e-4104-a494-1c3e74ccbc972022-03-26T11:25:44ZNuclear matter and neutron-star properties calculated with the Skyrme interactionJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:201d60f4-f63e-4104-a494-1c3e74ccbc97EnglishSymplectic Elements at Oxford2003Stone, JRMiller, JKoncewicz, RStevenson, PStrayer, MRThe effective Skyrme interaction has been used extensively in mean-field models for several decades and many different parametrizations of the interaction have been proposed. All of these give similar agreement with the experimental observables of nuclear ground states as well as with the properties of infinite symmetric nuclear matter at the saturation density n 0. However, when applied over a wider range of densities (up to ∼3n0) they predict widely varying behavior for the observables of both symmetric and asymmetric nuclear matter. A particularly relevant example of naturally occurring asymmetric nuclear matter is the material of which neutron stars are composed. At around nuclear matter density, this can be well represented as a mixture of neutrons, protons, electrons, and muons (n + p + e + μ matter) in β-equilibrium, and these densities turn out to be the key ones for determining the properties of neutron-star models with masses near to the widely used "canonical" value of 1.4M⊙. By constructing equations of state for neutron-star matter using the different Skyrme parametrizations, calculating corresponding neutron-star models and then comparing these with observational data, an additional constraint can be obtained for the values of the Skyrme parameters. Such a constraint is particularly relevant because the parametrizations are initially determined by fitting to the properties of doubly closed-shell nuclei and it is an open question how suitable they then are for nuclei with high values of isospin, such as those at the neutron drip-line and beyond. The neutron-star environment provides an invaluable testing ground for this. We have carried out an investigation of 87 different Skyrme parametrizations in order to examine how successful they are in predicting the expected properties of infinite nuclear matter and generating plausible neutron-star models. This is the first systematic study of the predictions of the various Skyrme parametrizations for the density dependence of the characteristic observables of nuclear matter; the density dependence of the symmetry energy for β-equilibrium matter turns out to be a crucial property for indicating which Skyrme parameter sets will apply equally well for finite nuclei and for neutron-star matter. Only 27 of the 87 parametrizations investigated pass the test of giving satisfactory neutron-star models and we present a list of these.
spellingShingle Stone, JR
Miller, J
Koncewicz, R
Stevenson, P
Strayer, MR
Nuclear matter and neutron-star properties calculated with the Skyrme interaction
title Nuclear matter and neutron-star properties calculated with the Skyrme interaction
title_full Nuclear matter and neutron-star properties calculated with the Skyrme interaction
title_fullStr Nuclear matter and neutron-star properties calculated with the Skyrme interaction
title_full_unstemmed Nuclear matter and neutron-star properties calculated with the Skyrme interaction
title_short Nuclear matter and neutron-star properties calculated with the Skyrme interaction
title_sort nuclear matter and neutron star properties calculated with the skyrme interaction
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