dorsal/arxiv
View SchemaA simple analytical calculation of mean-field potential in heavy nuclei
| Authors | M. Azam, R. Gowda |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0508030 |
| URL | https://arxiv.org/abs/nucl-th/0508030 |
Abstract
In many-body theory of particles with long range interaction potential, such as the potential of Newtonian gravity and its relativistic generalization, Newton-Birkhoff theorem plays a very important role. This theorem is violated in the case of short range interaction potential, such as the Yukawa potential in nuclear physics. We discuss the relevance of this in the many-body treatment of heavy nuclei. In particular, using techniques similar to those in Newtonian gravity, we calculate analytically the mean-field potential in heavy nuclei. The mean-field potential thus calculated depends on well known quantities such as the pion-nucleon coupling constant, inverse pion mass, nuclear radius and density. The qualitative features of the mean-field potential thus obtained is similar to the well known phenomenological Wood-Saxon potential.
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"abstract": "In many-body theory of particles with long range interaction potential, such\nas the potential of Newtonian gravity and its relativistic generalization,\nNewton-Birkhoff theorem plays a very important role. This theorem is violated\nin the case of short range interaction potential, such as the Yukawa potential\nin nuclear physics. We discuss the relevance of this in the many-body treatment\nof heavy nuclei. In particular, using techniques similar to those in Newtonian\ngravity, we calculate analytically the mean-field potential in heavy nuclei.\nThe mean-field potential thus calculated depends on well known quantities such\nas the pion-nucleon coupling constant, inverse pion mass, nuclear radius and\ndensity. The qualitative features of the mean-field potential thus obtained is\nsimilar to the well known phenomenological Wood-Saxon potential.",
"arxiv_id": "nucl-th/0508030",
"authors": [
"M. Azam",
"R. Gowda"
],
"categories": [
"nucl-th",
"hep-ph",
"physics.ed-ph"
],
"title": "A simple analytical calculation of mean-field potential in heavy nuclei",
"url": "https://arxiv.org/abs/nucl-th/0508030"
},
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