dorsal/arxiv
View SchemaMomentum distribution in heavy deformed nuclei: role of effective mass
| Authors | V. O. Nesterenko, V. P. Likhachev, P. -G. Reinhard, V. V. Pashkevich, W. Kleinig, J. Mesa |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0407048 |
| URL | https://arxiv.org/abs/nucl-th/0407048 |
| DOI | 10.1103/PhysRevC.70.057304 |
| Journal | Phys.Rev. C70 (2004) 057304 |
Abstract
The impact of nuclear deformation on the momentum distributions (MD) of occupied proton states in $^{238}$U is studied with a phenomenological Woods-Saxon (WS) shell model and the self-consistent Skyrme-Hartree-Fock (SHF) scheme. Four Skyrme parameterizations (SkT6, SkM*, SLy6, SkI3) with different effective masses are used. The calculations reveal significant deformation effects in the low-momentum domain of $K^{\pi}=1/2^{\pm}$ states, mainly of those lying near the Fermi surface. For other states, the deformation effect on MD is rather small and may be neglected. The most remarkable result is that the very different Skyrme parameterizations and the WS potential give about identical MD. This means that the value of effective mass, being crucial for the description of the spectra, is not important for the spatial shape of the wave functions and thus for the MD. In general, it seems that, for the description of MD at $0\le k \le 300$ MeV/c, one may use any single-particle scheme (phenomenological or self-consistent) fitted properly to the global ground state properties.
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"abstract": "The impact of nuclear deformation on the momentum distributions (MD) of\noccupied proton states in $^{238}$U is studied with a phenomenological\nWoods-Saxon (WS) shell model and the self-consistent Skyrme-Hartree-Fock (SHF)\nscheme. Four Skyrme parameterizations (SkT6, SkM*, SLy6, SkI3) with different\neffective masses are used. The calculations reveal significant deformation\neffects in the low-momentum domain of $K^{\\pi}=1/2^{\\pm}$ states, mainly of\nthose lying near the Fermi surface. For other states, the deformation effect on\nMD is rather small and may be neglected. The most remarkable result is that the\nvery different Skyrme parameterizations and the WS potential give about\nidentical MD. This means that the value of effective mass, being crucial for\nthe description of the spectra, is not important for the spatial shape of the\nwave functions and thus for the MD. In general, it seems that, for the\ndescription of MD at $0\\le k \\le 300$ MeV/c, one may use any single-particle\nscheme (phenomenological or self-consistent) fitted properly to the global\nground state properties.",
"arxiv_id": "nucl-th/0407048",
"authors": [
"V. O. Nesterenko",
"V. P. Likhachev",
"P. -G. Reinhard",
"V. V. Pashkevich",
"W. Kleinig",
"J. Mesa"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.70.057304",
"journal_ref": "Phys.Rev. C70 (2004) 057304",
"title": "Momentum distribution in heavy deformed nuclei: role of effective mass",
"url": "https://arxiv.org/abs/nucl-th/0407048"
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