The Nuclear Born Oppenheimer Method and Nuclear Rotations

TL;DR

This paper applies the Nuclear Born Oppenheimer (NBO) method to nuclear rotations, deriving rotational energies and moments of inertia, and connecting the approach with the self-consistent cranking model and experimental data.

Contribution

It introduces the application of the NBO method to nuclear rotational motion, providing new expressions for rotational energy and moments of inertia, and linking it with established models and data.

Findings

Derived expressions for rotational energy and moment of inertia.

Established connection between NBO and self-consistent cranking model.

Compared NBO-generated moment of inertia with Thouless-Valantin formula.

Abstract

We deal here with the application of the Nuclear Born Oppenheimer (NBO) method to the description of nuclear rotations. As an edifying illustration, we apply the NBO formalism to study the rotational motion of nuclei which are axially-symmetric and even, but whose shells are not closed. We focus, in particular, on the derivation of expressions for the rotational energy and for the moment of inertia. Additionally, we examine the connection between the NBO method and the self-consistent cranking (SCC) model. Finally, we compare the moment of inertia generated by the NBO method with the Thouless-Valantin formula and hence establish a connection between the NBO method and the large body of experimental data.