dorsal/arxiv
View SchemaNuclear Symmetry Energy in Relativistic Mean Field Theory
| Authors | Shufang Ban, Jie Meng, Wojciech Satula, Ramon A. Wyss |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0509028 |
| URL | https://arxiv.org/abs/nucl-th/0509028 |
| DOI | 10.1016/j.physletb.2005.11.077 |
| Journal | Phys.Lett. B633 (2006) 231-236 |
Abstract
The Physical origin of the nuclear symmetry energy is studied within the relativistic mean field (RMF) theory. Based on the nuclear binding energies calculated with and without mean isovector potential for several isobaric chains we conform earlier Skyrme-Hartree-Fock result that the nuclear symmetry energy strength depends on the mean level spacing $\epsilon (A)$ and an effective mean isovector potential strength $\kappa (A)$. A detaied analysis of isospin dependence of the two components contributing to the nuclear symmetry energy reveals a quadratic dependence due to the mean-isoscalar potential, $\sim\epsilon T^2$, and, completely unexpectedly, the presence of a strong linear component $\sim\kappa T(T+1+\epsilon/\kappa)$ in the isovector potential. The latter generates a nuclear symmetry energy in RMF theory that is proportional to $E_{sym}\sim T(T+1)$ at variance to the non-relativistic calculation. The origin of the linear term in RMF theory needs to be further explored.
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"abstract": "The Physical origin of the nuclear symmetry energy is studied within the\nrelativistic mean field (RMF) theory. Based on the nuclear binding energies\ncalculated with and without mean isovector potential for several isobaric\nchains we conform earlier Skyrme-Hartree-Fock result that the nuclear symmetry\nenergy strength depends on the mean level spacing $\\epsilon (A)$ and an\neffective mean isovector potential strength $\\kappa (A)$. A detaied analysis of\nisospin dependence of the two components contributing to the nuclear symmetry\nenergy reveals a quadratic dependence due to the mean-isoscalar potential,\n$\\sim\\epsilon T^2$, and, completely unexpectedly, the presence of a strong\nlinear component $\\sim\\kappa T(T+1+\\epsilon/\\kappa)$ in the isovector\npotential. The latter generates a nuclear symmetry energy in RMF theory that is\nproportional to $E_{sym}\\sim T(T+1)$ at variance to the non-relativistic\ncalculation. The origin of the linear term in RMF theory needs to be further\nexplored.",
"arxiv_id": "nucl-th/0509028",
"authors": [
"Shufang Ban",
"Jie Meng",
"Wojciech Satula",
"Ramon A. Wyss"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/j.physletb.2005.11.077",
"journal_ref": "Phys.Lett. B633 (2006) 231-236",
"title": "Nuclear Symmetry Energy in Relativistic Mean Field Theory",
"url": "https://arxiv.org/abs/nucl-th/0509028"
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