dorsal/arxiv
View SchemaNuclear Matter Studies with Density-dependent Meson-Nucleon Coupling Constants
| Authors | M. K. Banerjee, J. A. Tjon |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9612007 |
| URL | https://arxiv.org/abs/nucl-th/9612007 |
| DOI | 10.1103/PhysRevC.56.497 |
| Journal | Phys.Rev.C56:497-509,1997 |
Abstract
Due to the internal structure of the nucleon, we should expect, in general, that the effective meson nucleon parameters may change in nuclear medium. We study such changes by using a chiral confining model of the nucleon. We use density-dependent masses for all mesons except the pion. Within a Dirac-Brueckner analysis, based on the relativistic covariant structure of the NN amplitude, we show that the effect of such a density dependence in the NN interaction on the saturation properties of nuclear matter, while not large, is quite significant. Due to the density dependence of the $g_{\sigma NN}$, as predicted by the chiral confining model, we find, in particular, a looping behavior of the binding energy at saturation as a function of the saturation density. A simple model is described, which exhibits looping and which is shown to be mainly caused by the presence of a peak in the density dependence of the medium modified $\sigma N$ coupling constant at low density. The effect of density dependence of the coupling constants and the meson masses tends to improve the results for $E/A$ and density of nuclear matter at saturation. From the present study we see that the relationship between binding energy and saturation density may not be as universal as found in nonrelativistic studies and that more model dependence is exhibited once medium modifications of the basic nuclear interactions are considered.
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"abstract": "Due to the internal structure of the nucleon, we should expect, in general,\nthat the effective meson nucleon parameters may change in nuclear medium. We\nstudy such changes by using a chiral confining model of the nucleon. We use\ndensity-dependent masses for all mesons except the pion. Within a\nDirac-Brueckner analysis, based on the relativistic covariant structure of the\nNN amplitude, we show that the effect of such a density dependence in the NN\ninteraction on the saturation properties of nuclear matter, while not large, is\nquite significant. Due to the density dependence of the $g_{\\sigma NN}$, as\npredicted by the chiral confining model, we find, in particular, a looping\nbehavior of the binding energy at saturation as a function of the saturation\ndensity. A simple model is described, which exhibits looping and which is shown\nto be mainly caused by the presence of a peak in the density dependence of the\nmedium modified $\\sigma N$ coupling constant at low density.\n The effect of density dependence of the coupling constants and the meson\nmasses tends to improve the results for $E/A$ and density of nuclear matter at\nsaturation. From the present study we see that the relationship between binding\nenergy and saturation density may not be as universal as found in\nnonrelativistic studies and that more model dependence is exhibited once medium\nmodifications of the basic nuclear interactions are considered.",
"arxiv_id": "nucl-th/9612007",
"authors": [
"M. K. Banerjee",
"J. A. Tjon"
],
"categories": [
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],
"doi": "10.1103/PhysRevC.56.497",
"journal_ref": "Phys.Rev.C56:497-509,1997",
"title": "Nuclear Matter Studies with Density-dependent Meson-Nucleon Coupling Constants",
"url": "https://arxiv.org/abs/nucl-th/9612007"
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