Analysis of Spectroscopic Factors in 11Be and 12Be in the Nilsson Strong Coupling Limit

TL;DR

This paper interprets spectroscopic factors in beryllium isotopes using the Nilsson model, linking wavefunction amplitudes with experimental data, and achieves good agreement with observed magnetic moments and reaction cross-sections.

Contribution

It introduces a Nilsson model-based interpretation of spectroscopic factors in 11Be and 12Be, providing simple relations in the strong coupling limit.

Findings

Good agreement with measured magnetic moment of 11Be ground state

Accurate reproduction of reaction cross-sections

Validation of the Nilsson model assumptions in these isotopes

Abstract

Spectroscopic factors in 10Be, 11Be and 12Be, extracted from (d,p), one neutron knockout, and (p,d) reactions are interpreted within the rotational model. Assuming that the ground state and first excited state of 11Be can be associated with the 1/2[220] and 1/2[101] Nilsson levels, the strong coupling limit gives simple expressions that relate the amplitudes of these wavefunctions (in the spherical basis) with the measured cross-sections and derived spectroscopic factors. We obtain good agreement with both the measured magnetic moment of the ground state in 11Be and the reaction data.