dorsal/arxiv
View SchemaCorrelated EoM and Distributions for A=6 Nuclei
| Authors | M. Tomaselli, T. Kühl, D. Ursescu, S. Fritzsche |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0612084 |
| URL | https://arxiv.org/abs/nucl-th/0612084 |
| DOI | 10.1143/PTP.116.699 |
| Journal | Prog.Theor.Phys.116:699-723,2007; Erratum-ibid.116:981-982,2007 |
Abstract
Energy spectra and electromagnetic transitions of nuclei are strongly depending from the correlations of the bound nucleons. Two particle correlations are responsible for the scattering of model particles either to low momentum- or to high momentum-states. The low momentum states form the model space while the high momentum states are used to calculate the G-matrix. The three and higher order particle correlations do not play a role in the latter calculation especially if the correlations induced by the scattering operator are of sufficient short range. They modify however, via the long tail of the nuclear potential, the Slater determinant of the A particles by generating excited Slater's determinants. In this work the influence of the correlations on the level structure and ground state distributions of even open shell nuclei is analyzed via the boson dynamic correlation model BDCM. The model is based on the unitary operator $e^S$ ({\it S} is the correlation operator) formalism which in this paper is presented within a non perturbative approximation. The low lying spectrum calculated for $^6$Li reproduce very well the experimental spectrum while for $^6$He a charge radius slightly larger than that obtained within the isotopic-shift (IS) theory has been calculated. Good agreement between theoretical and experimental results has been obtained without the introduction of a genuine three body force.
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"abstract": "Energy spectra and electromagnetic transitions of nuclei are strongly\ndepending from the correlations of the bound nucleons. Two particle\ncorrelations are responsible for the scattering of model particles either to\nlow momentum- or to high momentum-states. The low momentum states form the\nmodel space while the high momentum states are used to calculate the G-matrix.\nThe three and higher order particle correlations do not play a role in the\nlatter calculation especially if the correlations induced by the scattering\noperator are of sufficient short range. They modify however, via the long tail\nof the nuclear potential, the Slater determinant of the A particles by\ngenerating excited Slater\u0027s determinants. In this work the influence of the\ncorrelations on the level structure and ground state distributions of even open\nshell nuclei is analyzed via the boson dynamic correlation model BDCM. The\nmodel is based on the unitary operator $e^S$ ({\\it S} is the correlation\noperator) formalism which in this paper is presented within a non perturbative\napproximation. The low lying spectrum calculated for $^6$Li reproduce very well\nthe experimental spectrum while for $^6$He a charge radius slightly larger than\nthat obtained within the isotopic-shift (IS) theory has been calculated. Good\nagreement between theoretical and experimental results has been obtained\nwithout the introduction of a genuine three body force.",
"arxiv_id": "nucl-th/0612084",
"authors": [
"M. Tomaselli",
"T. K\u00fchl",
"D. Ursescu",
"S. Fritzsche"
],
"categories": [
"nucl-th"
],
"doi": "10.1143/PTP.116.699",
"journal_ref": "Prog.Theor.Phys.116:699-723,2007; Erratum-ibid.116:981-982,2007",
"title": "Correlated EoM and Distributions for A=6 Nuclei",
"url": "https://arxiv.org/abs/nucl-th/0612084"
},
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