dorsal/arxiv
View SchemaCoexistence of spherical states with deformed and superdeformed bands in doubly magic 40-Ca; A shell model challenge
| Authors | E. Caurier, J. Menendez, F. Nowacki, A. Poves |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0702047 |
| URL | https://arxiv.org/abs/nucl-th/0702047 |
| DOI | 10.1103/PhysRevC.75.054317 10.1103/PhysRevC.76.049901 |
| Journal | Phys.Rev.C75:054317,2007; Erratum-ibid.C76:049901,2007 |
Abstract
Large scale shell model calculations, with dimensions reaching 10**9, are carried out to describe the recently observed deformed (ND) and superdeformed (SD) bands based on the first and second excited 0+ states of 40-Ca at 3.35-MeV and 5.21-MeV respectively. A valence space comprising two major oscillator shells, sd and pf, can accommodate most of the relevant degrees of freedom of this problem. The ND band is dominated by configurations with four particles promoted to the pf-shell (4p-4h in short). The SD band by 8p-8h configurations. The ground state of 40-Ca is strongly correlated, but the closed shell still amounts to 65%. The energies of the bands are very well reproduced by the calculations. The out-band transitions connecting the SD band with other states are very small and depend on the details of the mixing among the different np-nh configurations, in spite of that, the calculation describes them reasonably. For the in-band transition probabilities along the SD band, we predict a fairly constant transition quadrupole moment Q_0(t)~170 e fm**2 up to J=10, that decreases toward the higher spins. We submit also that the J=8 states of the deformed and superdeformed band are maximally mixed.
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"abstract": "Large scale shell model calculations, with dimensions reaching 10**9, are\ncarried out to describe the recently observed deformed (ND) and superdeformed\n(SD) bands based on the first and second excited 0+ states of 40-Ca at 3.35-MeV\nand 5.21-MeV respectively. A valence space comprising two major oscillator\nshells, sd and pf, can accommodate most of the relevant degrees of freedom of\nthis problem. The ND band is dominated by configurations with four particles\npromoted to the pf-shell (4p-4h in short). The SD band by 8p-8h configurations.\nThe ground state of 40-Ca is strongly correlated, but the closed shell still\namounts to 65%. The energies of the bands are very well reproduced by the\ncalculations. The out-band transitions connecting the SD band with other states\nare very small and depend on the details of the mixing among the different\nnp-nh configurations, in spite of that, the calculation describes them\nreasonably. For the in-band transition probabilities along the SD band, we\npredict a fairly constant transition quadrupole moment Q_0(t)~170 e fm**2 up to\nJ=10, that decreases toward the higher spins. We submit also that the J=8\nstates of the deformed and superdeformed band are maximally mixed.",
"arxiv_id": "nucl-th/0702047",
"authors": [
"E. Caurier",
"J. Menendez",
"F. Nowacki",
"A. Poves"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.75.054317 10.1103/PhysRevC.76.049901",
"journal_ref": "Phys.Rev.C75:054317,2007; Erratum-ibid.C76:049901,2007",
"title": "Coexistence of spherical states with deformed and superdeformed bands in doubly magic 40-Ca; A shell model challenge",
"url": "https://arxiv.org/abs/nucl-th/0702047"
},
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