[ital Z]=64 subshell gap in the shell model and the effective boson number in the interacting boson model

Journal Article · Thu Apr 01 04:00:00 EST 1993 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.47.1489· OSTI ID:6651015

Gupta, J B ^[1]

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1. Ramjas College, University of Delhi, Delhi 110 007 (India)

The size of the proton subshell gap between the [ital d][sub 5/2] and [ital h][sub 11/2] orbitals is reviewed. The need of revising the microscopic calculations with increased energy gap is reexamined for [ital N][ge]82 nuclei. Both for occupation probabilities and the nuclear structure of [ital N]=82 isotones and the [sup 146[minus]154]Sm isotopes, the increased gap at [ital Z]=64 is not inconsistent with experiment, except that increased quadrupole strength is required for obtaining the same structure. The use of alternative values of boson numbers in the interacting boson model (IBM) for [ital N][lt]88 nuclei is investigated. In a phenomenological IBM calculation there is no [ital a] priori need of the use of subshell closure. In the empirical studies for this region the use of the [ital Z]=64 subshell does lead to elegant systematics in some cases but it also leads to inconsistencies in other cases. Dependence of collective deformation effect on the slope of particular orbitals, rather than on gap size only, is illustrated.

• OSTI ID: 6651015
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Journal Name: Physical Review, C (Nuclear Physics); (United States) Vol. 47:4; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

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663560 -- Nuclear Mass Ranges-- A=90-149-- (1992-)
663570 -- Nuclear Mass Ranges-- A=150-189-- (1992-)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
COLLECTIVE EXCITATIONS
DEFORMATION
ENERGY-LEVEL TRANSITIONS
EXCITATION
INTERACTING BOSON MODEL
ISOTOPES
MATHEMATICAL MODELS
NUCLEAR DEFORMATION
NUCLEAR MODELS
NUCLEAR STRUCTURE
ORBITS
RARE EARTH ISOTOPES
SAMARIUM ISOTOPES
SHELL MODELS