Abstract
The governor model of Trainor and Gupta is used to indicate that a rotor consisting of two equal mass particles interacting through a two-body potential V( r) may be considered as a rough approximation to a deformed rotating nucleus. By choosing V( r) appropriately and solving the two-body problem quantum mechanically, it is shown that the ground state band and the β-band for this system display properties similar to those recently obtained experimentally for rare-earth nuclei. This suggests that centrifugal stretching may be an important mechanism in producing backbending, and recent calculations of the nuclear deformation energy are used to speculate on the nature of this stretching. A prolate to oblate shape transition at high excitation energies is suggested as one possibility. The generalized variable moment of inertia model is applied to the ground state band of the rotor, and the corresponding “potential energy” is obtained. This quantity is shown to be very different than the true two-body potential energy, and indicates that it is difficult to extract nuclear deformation energies from the variable moment of inertia model.
Published Version
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