A Semi-Classical, Microscopic Model for Nuclear Collective Rotation Plus RPA
- NUTECH Services, 3313 Fenwick Cres., Mississauga, Ontario, L5L 5N1 (Canada)
Collective rotation and vibration of deformed nuclei are described semiclassically but microscopically by first transforming the time-dependent Schrodinger equation to a rotating frame, while preserving time-reversal invariance, and then applying a variational method. The rotating-frame axes are chosen to coincide with the principal axes of the expectation of an arbitrary, symmetric second-rank tensor operator {gamma}. It is shown that the equations derived for the rotational and vibrational motions decouple completely due to the rotational invariance of the Hamiltonian and diagonality of the expectation of {gamma} in the rotating frame. The equations describing the vibration reduce to those of the RPA. The equation describing the rotation generalizes that of the conventional cranking model (CM). The predicted rotation moment of inertia is shown to reduce to that of the CM for special types of particle interactions.
- OSTI ID:
- 21057310
- Journal Information:
- AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 905; ISSN APCPCS; ISSN 0094-243X
- Country of Publication:
- United States
- Language:
- English
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