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The Effect of Deformation on the Twist Mode

Shadow J. Q. Robinson·Larry Zamick
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Abstract

Using $^{12}$C as an example of a strongly deformed nucleus we calculate the strengths and energies in the asymptotic (oblate) deformed limit for the isovector twist mode operator $[rY^{1}\vec{l}]^{λ=2}t_{+}$ where l is the orbital angular momentum. We also consider the $λ=1$ case. For $λ=0$, the operator vanishes. Whereas in a $ΔN=0$ Nilsson model the summed strength is independent of the relative P$_{3/2}$ and P$_{1/2}$ occupancy when we allow for different frequencies $ω_{i}$ in the x, y, and z directions there is a weak dependency on deformation.

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Shadow J. Q. Robinson, Larry Zamick. 2000-08-27. The Effect of Deformation on the Twist Mode. https://doi.org/10.1016/s0375-9474(01)00966-6

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