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The conventional cranking model for uniaxial and triaxial rotation (CCRM3) isfrequently used to study rotational features in deformed nuclei. However, CCRM3is semi-classical and phenomenological because it uses a constant angularvelocity, resulting in a number of Hamiltonian symmetry breakings. Toinvestigate the effect of a dynamic angular velocity, a quantal, microscopic,D2, signature, and time-reversal invariant cranking model for triaxial rotation(MSCRM3) is derived exactly from a unitary rigid-flow-velocity-field rotationtransformation of the nuclear Schrodinger equation and Hartree-Fock method.Except for a microscopically-determined angular velocity and normally-smallresidual terms, the MSCRM3 and CCRM3 Schrodinger equations are identical inform. The microscopic angular velocity emerges from the HF variation, and theresidual terms may become significant for triaxial rotation at high spins andin back-bending regions where and undergo large changes. A preliminaryapplication of MSCRM3 and CCRM3 to the light nuclei 20Ne, 24Mg, and 28Si usingthe simple self-consistent deformed harmonic oscillator potential predicts someinteresting differences between the rotational features and phenomena predictedby the two models. These differences are attributable to the impact of thedynamic angular velocity. It is important to investigate and understand thesedifferences for the simple and realistic nuclear interactions.

Microscopic triaxial cranking model: preliminary predictions for oscillator potential and light nuclei