Unified Cranking-Model Description of Bohr and VMI Approache

TL;DR

This paper presents a unified cranking-model framework that explains both the Bohr and VMI models as limiting cases, clarifying their relationship and highlighting the role of Coriolis effects in nuclear rotation.

Contribution

It introduces a unified formalism that encompasses both models and explicitly incorporates Coriolis effects, resolving previous conceptual differences.

Findings

Bohr and VMI models are limiting cases of a single cranking framework

Coriolis effects significantly influence rotational energy and inertia

Unified model clarifies the physical relationship between the two approaches

Abstract

A unified analysis based on the cranking model is presented, demonstrating that both the Bohr and Variable Moment of Inertia (VMI) models arise as limiting cases of this framework. This result resolves the apparent contradiction between the two models by showing that they correspond to different physical limits of the same formalism. In addition, this analysis explicitly reveals the contribution of Coriolis effects to the rotational energy and moment of inertia.