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Title: Coexistence of spherical states with deformed and superdeformed bands in doubly magic {sup 40}Ca: A shell-model challenge

Abstract

Large-scale shell-model calculations, with dimensions reaching 10{sup 9}, are carried out to describe the recently observed deformed (ND) and superdeformed (SD) bands based on the first and second excited 0{sup +} states of {sup 40}Ca at 3.35 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 {sup 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{sub 0}(t){approx}170 e fm{sup 2} up to J=10 that decreases toward the higher spins. We submit also that the J=8 states of the deformed and superdeformed bands are maximally mixed.

Authors:
;  [1]; ;  [2]
  1. IReS, Bat27, IN2P3-CNRS/Universite Louis Pasteur BP 28, F-67037 Strasbourg Cedex 2 (France)
  2. Departamento de Fisica Teorica, C-XI. Universidad Autonoma de Madrid, E-28049, Madrid (Spain)
Publication Date:
OSTI Identifier:
20995279
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 75; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevC.75.054317; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; CALCIUM 40; DEGREES OF FREEDOM; FASTENING; GROUND STATES; MEV RANGE 01-10; OSCILLATORS; QUADRUPOLE MOMENTS; SHELL MODELS; SHELLS; SPHERICAL CONFIGURATION; SPIN; SUPERDEFORMED NUCLEI

Citation Formats

Caurier, E., Nowacki, F., Menendez, J., and Poves, A.. Coexistence of spherical states with deformed and superdeformed bands in doubly magic {sup 40}Ca: A shell-model challenge. United States: N. p., 2007. Web. doi:10.1103/PHYSREVC.75.054317.
Caurier, E., Nowacki, F., Menendez, J., & Poves, A.. Coexistence of spherical states with deformed and superdeformed bands in doubly magic {sup 40}Ca: A shell-model challenge. United States. doi:10.1103/PHYSREVC.75.054317.
Caurier, E., Nowacki, F., Menendez, J., and Poves, A.. Tue . "Coexistence of spherical states with deformed and superdeformed bands in doubly magic {sup 40}Ca: A shell-model challenge". United States. doi:10.1103/PHYSREVC.75.054317.
@article{osti_20995279,
title = {Coexistence of spherical states with deformed and superdeformed bands in doubly magic {sup 40}Ca: A shell-model challenge},
author = {Caurier, E. and Nowacki, F. and Menendez, J. and Poves, A.},
abstractNote = {Large-scale shell-model calculations, with dimensions reaching 10{sup 9}, are carried out to describe the recently observed deformed (ND) and superdeformed (SD) bands based on the first and second excited 0{sup +} states of {sup 40}Ca at 3.35 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 {sup 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{sub 0}(t){approx}170 e fm{sup 2} up to J=10 that decreases toward the higher spins. We submit also that the J=8 states of the deformed and superdeformed bands are maximally mixed.},
doi = {10.1103/PHYSREVC.75.054317},
journal = {Physical Review. C, Nuclear Physics},
number = 5,
volume = 75,
place = {United States},
year = {Tue May 15 00:00:00 EDT 2007},
month = {Tue May 15 00:00:00 EDT 2007}
}