dorsal/arxiv
View SchemaNew analysis method of the halo phenomenon in finite many-fermion systems. First applications to medium-mass atomic nuclei
| Authors | V. Rotival, T. Duguet |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0702050 |
| URL | https://arxiv.org/abs/nucl-th/0702050 |
| DOI | 10.1103/PhysRevC.79.054308 |
| Journal | Phys.Rev.C79:054308,2009 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
A new analysis method to investigate halos in finite many-fermion systems is designed, as existing characterization methods are proven to be incomplete/inaccurate. A decomposition of the internal wave-function of the {$N$-body} system in terms of overlap functions allows a model-independent analysis of medium-range and asymptotic properties of the internal one-body density. The existence of a spatially decorrelated region in the density profile is related to the existence of three typical energy scales in the excitation spectrum of the {$(N-1)$-body} system. A series of model-independent measures, taking the internal density as the only input, are introduced. The new measures allow a quantification of the potential halo in terms of the average number of fermions participating to it and of its impact on the system extension. Those new "halo factors" are validated through simulations and applied to results obtained through energy density functional calculations of medium-mass nuclei. Performing spherical Hartree-Fock-Bogoliubov calculations with state-of-the-art Skyrme plus pairing functionals, a collective halo is predicted in drip-line Cr isotopes, whereas no such effect is seen in Sn isotopes.
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"abstract": "A new analysis method to investigate halos in finite many-fermion systems is\ndesigned, as existing characterization methods are proven to be\nincomplete/inaccurate. A decomposition of the internal wave-function of the\n{$N$-body} system in terms of overlap functions allows a model-independent\nanalysis of medium-range and asymptotic properties of the internal one-body\ndensity. The existence of a spatially decorrelated region in the density\nprofile is related to the existence of three typical energy scales in the\nexcitation spectrum of the {$(N-1)$-body} system. A series of model-independent\nmeasures, taking the internal density as the only input, are introduced. The\nnew measures allow a quantification of the potential halo in terms of the\naverage number of fermions participating to it and of its impact on the system\nextension. Those new \"halo factors\" are validated through simulations and\napplied to results obtained through energy density functional calculations of\nmedium-mass nuclei. Performing spherical Hartree-Fock-Bogoliubov calculations\nwith state-of-the-art Skyrme plus pairing functionals, a collective halo is\npredicted in drip-line Cr isotopes, whereas no such effect is seen in Sn\nisotopes.",
"arxiv_id": "nucl-th/0702050",
"authors": [
"V. Rotival",
"T. Duguet"
],
"categories": [
"nucl-th",
"nucl-ex"
],
"doi": "10.1103/PhysRevC.79.054308",
"journal_ref": "Phys.Rev.C79:054308,2009",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "New analysis method of the halo phenomenon in finite many-fermion systems. First applications to medium-mass atomic nuclei",
"url": "https://arxiv.org/abs/nucl-th/0702050"
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