Analysis of Bohr formula of momentum of inertia for even-even atomic nuclei

TL;DR

This paper improves the theoretical calculation of the moment of inertia for even-even nuclei by including higher-order terms in the R-expansion, leading to results that better match experimental data.

Contribution

It introduces a more accurate model by considering the first three terms in the R-expansion, addressing previous discrepancies with experimental values.

Findings

Results are more realistic and align better with experimental data.

Including higher-order terms improves the theoretical predictions.

The model accounts for deformation parameters in nuclei.

Abstract

The moment of inertia of even-even deformed nuclei which are derived on the basis of hydrodynamical model yield values that are too small compared with the experimental [Davidson 1965] ones. We expect that these contradictions come from the consideration only the first term in $R$- expansion in spite of not containing parameters indicating deformity of the nucleus, and neglecting all other terms which include the deformation parameters $\alpha\lambda\mu$. In this work, the first three terms in $R$- expansion are taken into account. The results are more realistic and too much better the previous ones.