A Schematic Model for Collective Modes in a Nucleus "Rotating" about the Symmetry Axis

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Abstract
We study collective modes in a nucleus “rotating” about the symmetry axis by using a schematic model. The model is derived on the basis of the cranked harmonic oscillator model where the frequencies are self-consistently determined and the Landau prescription for the two-body effective interacion. The model enables us to exactly solve the equations in the Random Phase Approximation. We obtain the collective modes corresponding to the usual giant quadrupole resonances in an axially symmetric deformed nucleus and the spurious mode associated with the rotational invariance. In addition, we obtain the collective rotational mode corresponding to the precession of a classical symmetric top and a mode which generates a non-collective excited state in the vicinity of the yrast line.

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