Properties of 12Be and 11Be in terms of single-particle motion in deformed potential

TL;DR

This paper interprets spectroscopic data of 12Be and 11Be using a simple deformed potential model that accounts for weakly-bound neutrons, achieving good agreement with observed electromagnetic transition data.

Contribution

It introduces a model emphasizing weakly-bound neutrons in deformed potentials to explain properties of 12Be and 11Be, providing new insights into their structure.

Findings

Good agreement with experimental B(E2) and B(E0) values

Successful explanation of strong E1 transitions

Highlights importance of deformed potential in neutron-rich nuclei

Abstract

Inspired by the recent measurement of the B(E2;$0_{2}^{+} \to 2_{1}^+$) and B(E0;$0_{2}^{+} \to 0_{1}^+$) values in $^{12}$Be, we give an interpretation of available spectroscopic data on both $^{12}$Be and $^{11}$Be, using a simple model which contains the essential feature of these two nuclei; the presence of weakly-bound neutron(s) in deformed potentials. The agreement of the calculated results with observed data is surprisingly good, including well-known strong E1 transitions in both nuclei.