dorsal/arxiv
View SchemaCritical densities for the Skyrme type effective interactions
| Authors | B. K. Agrawal, S. Shlomo, V. Kim Au |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0409053 |
| URL | https://arxiv.org/abs/nucl-th/0409053 |
| DOI | 10.1103/PhysRevC.70.057302 |
| Journal | Phys.Rev. C70 (2004) 057302 |
Abstract
We use the stability conditions of the Landau parameters for the symmetric nuclear matter and pure neutron matter to calculate the critical densities for the Skyrme type effective nucleon-nucleon interactions. We find that the critical density can be maximized by adjusting appropriately the values of the enhancement factor $\kappa$ associated with isovector giant dipole resonance, the quantity $L$ which is directly related to the slope of the symmetry energy and the Landau parameter $G_0^\prime$. However, restricting $\kappa$, $L$ and $G_0^\prime$ to vary within acceptable limits reduces the maximum value for the critical density $\tilde\rho_{cr}$ by $\sim 25%$. We also show that among the various quantities characterizing the symmetric nuclear matter, $\tilde\rho_{cr}$ depends strongly on the isoscalar effective mass $m^*/m$ and surface energy coefficient $E_s$. For realistic values of $m^*/m$ and $E_s$ we get $\tilde\rho_{cr} = 2\rho_0$ to $ 3\rho_0$ ($\rho_0 = 0.16$fm$^{-3}$).
{
"annotation_id": "00e195f7-ec86-4259-a889-91098ec5f7d9",
"date_created": "2026-03-02T18:00:01.531000Z",
"date_modified": "2026-03-02T18:00:01.531000Z",
"file_hash": "1d905c9fd7cf4c8e4d3665a1715d64aef81aab18e65f36061f17398ada668d1f",
"private": false,
"record": {
"abstract": "We use the stability conditions of the Landau parameters for the symmetric\nnuclear matter and pure neutron matter to calculate the critical densities for\nthe Skyrme type effective nucleon-nucleon interactions. We find that the\ncritical density can be maximized by adjusting appropriately the values of the\nenhancement factor $\\kappa$ associated with isovector giant dipole resonance,\nthe quantity $L$ which is directly related to the slope of the symmetry energy\nand the Landau parameter $G_0^\\prime$. However, restricting $\\kappa$, $L$ and\n$G_0^\\prime$ to vary within acceptable limits reduces the maximum value for the\ncritical density $\\tilde\\rho_{cr}$ by $\\sim 25%$. We also show that among the\nvarious quantities characterizing the symmetric nuclear matter,\n$\\tilde\\rho_{cr}$ depends strongly on the isoscalar effective mass $m^*/m$ and\nsurface energy coefficient $E_s$. For realistic values of $m^*/m$ and $E_s$ we\nget $\\tilde\\rho_{cr} = 2\\rho_0$ to $ 3\\rho_0$ ($\\rho_0 = 0.16$fm$^{-3}$).",
"arxiv_id": "nucl-th/0409053",
"authors": [
"B. K. Agrawal",
"S. Shlomo",
"V. Kim Au"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.70.057302",
"journal_ref": "Phys.Rev. C70 (2004) 057302",
"title": "Critical densities for the Skyrme type effective interactions",
"url": "https://arxiv.org/abs/nucl-th/0409053"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "d9c3758a-145e-467d-8324-bfe00a61ad58",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}