Variable moment of inertia in the interacting boson model

Mishra, A; Mantri, Atul

doi:10.1103/physrevc.38.1921

Cited by 2 publications

(2 citation statements)

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“…On the other hand, in the cranking calculations of Schaaser and Brink although /3 does not change in lowest order of cranking frequency, inclusion of higher order correction terms is found [13] to stretch the nucleus whereas expression for jc does not change. Thus it is instructive to see J(]~) dependence in the two approaches.…”

Section: Cranking Approachmentioning

confidence: 89%

“…In this approach, ground state moment of inertia is calculated with the help of cranking formula of Inglis [9] and Belyaev [10] I(k'ljxlk)l z The superscript M is to denote the microscopic aspect of calculations. In (13), I k) is the deformed singleparticle state with k denoting the appropriate quantum numbers; rn~ is the magnetic quantum number along the symmetry axis. The deformed single-particle basis is generated using the deformed oscillator potential of Nilsson et al [11].…”

Section: Cranking Approachmentioning

confidence: 99%

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Moment of inertia in the interacting boson model

Mishra

Mantri

1987

Z. Physik A - Atomic Nuclei

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Defining an intrinsic state for the interacting boson model (IBM) hamiltonian it is possible to obtain expression for the ground state moment of inertia J0 in terms of IBM hamiltonian parameters and the shape variables. Two such available approaches -one based on correspondence of the IBM hamiltonian with Bohr hamiltonian and the other one based on self-consistent cranking calculations with IBM states -are examined. Results of numerical calculations in both prescriptions are compared with microscopic cranking calculations and also with the "experimental" values as given in the variable moment of inertia (VMI) model. The varying systematics of J0 values for nuclei in the rare-earth and actinide region is satisfactorily reproduced in the two approaches.

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Section: Cranking Approachmentioning

confidence: 89%

Section: Cranking Approachmentioning

confidence: 99%