dorsal/arxiv
View SchemaTemperature effects on the nuclear symmetry energy and symmetry free energy with an isospin and momentum dependent interaction
| Authors | Jun Xu, Lie-Wen Chen, Bao-An Li, Hong-Ru Ma |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0609035 |
| URL | https://arxiv.org/abs/nucl-th/0609035 |
| DOI | 10.1103/PhysRevC.75.014607 |
| Journal | Phys.Rev.C75:014607,2007 |
Abstract
Within a self-consistent thermal model using an isospin and momentum dependent interaction (MDI) constrained by the isospin diffusion data in heavy-ion collisions, we investigate the temperature dependence of the symmetry energy $E_{sym}(\rho, T)$ and symmetry free energy $F_{sym}(\rho, T) $ for hot, isospin asymmetric nuclear matter. It is shown that the symmetry energy $E_{sym}(\rho, T)$ generally decreases with increasing temperature while the symmetry free energy $F_{sym}(\rho, T)$ exhibits opposite temperature dependence. The decrement of the symmetry energy with temperature is essentially due to the decrement of the potential energy part of the symmetry energy with temperature. The difference between the symmetry energy and symmetry free energy is found to be quite small around the saturation density of nuclear matter. While at very low densities, they differ significantly from each other. In comparison with the experimental data of temperature dependent symmetry energy extracted from the isotopic scaling analysis of intermediate mass fragments (IMF's) in heavy-ion collisions, the resulting density and temperature dependent symmetry energy $E_{sym}(\rho, T) $ is then used to estimate the average freeze-out density of the IMF's.used to estimate the average freeze-out density of the IMF's.
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"abstract": "Within a self-consistent thermal model using an isospin and momentum\ndependent interaction (MDI) constrained by the isospin diffusion data in\nheavy-ion collisions, we investigate the temperature dependence of the symmetry\nenergy $E_{sym}(\\rho, T)$ and symmetry free energy $F_{sym}(\\rho, T) $ for hot,\nisospin asymmetric nuclear matter. It is shown that the symmetry energy\n$E_{sym}(\\rho, T)$ generally decreases with increasing temperature while the\nsymmetry free energy $F_{sym}(\\rho, T)$ exhibits opposite temperature\ndependence. The decrement of the symmetry energy with temperature is\nessentially due to the decrement of the potential energy part of the symmetry\nenergy with temperature. The difference between the symmetry energy and\nsymmetry free energy is found to be quite small around the saturation density\nof nuclear matter. While at very low densities, they differ significantly from\neach other. In comparison with the experimental data of temperature dependent\nsymmetry energy extracted from the isotopic scaling analysis of intermediate\nmass fragments (IMF\u0027s) in heavy-ion collisions, the resulting density and\ntemperature dependent symmetry energy $E_{sym}(\\rho, T) $ is then used to\nestimate the average freeze-out density of the IMF\u0027s.used to estimate the\naverage freeze-out density of the IMF\u0027s.",
"arxiv_id": "nucl-th/0609035",
"authors": [
"Jun Xu",
"Lie-Wen Chen",
"Bao-An Li",
"Hong-Ru Ma"
],
"categories": [
"nucl-th",
"astro-ph",
"nucl-ex"
],
"doi": "10.1103/PhysRevC.75.014607",
"journal_ref": "Phys.Rev.C75:014607,2007",
"title": "Temperature effects on the nuclear symmetry energy and symmetry free energy with an isospin and momentum dependent interaction",
"url": "https://arxiv.org/abs/nucl-th/0609035"
},
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