Scissors Modes:The first overtone

Details Scissors Modes:The first overtone Scissors Modes:The first overtone

2011-05-06

arxiv.org/abs/1105.1319v2

Phys.Rev.C84:011302,2011

Physics

Nuclear Physics

Nuclear Theory

5 pages, Rapid Communications

Scientific paper

10.1103/PhysRevC.84.011302

Scissors modes were predicted in the framework of the Two-Rotor Model. This model has an intrinsic harmonic spectrum, so that the level above the Scissors Mode, the first overtone, has excitation energy twice that of the Scissors Mode. Since the latter is of the order of 3 MeV in the rare earth region, the energy of the overtone is below threshold for nucleon emission, and its width should remain small enough for the overtone to be observable. We find that $B(E2)\uparrow_{overtone} = {3 /over 64 \theta_0^{2}}B(E2)\uparrow_{scissors}$, where $\theta_0$ is the zero-point oscillation amplitude, which in the rare earth region is of order $ 10^{-1}$.

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