We present predictions of a relatively simple model of the low-lying $0^{+}$ states in ${}^{12}\mathrm{Be}$, their predicted energy splitting in ${}^{12}\mathrm{O}$, their cross-section ratios in ${}^{10}\mathrm{Be}$($t,p$) and ${}^{14}\mathrm{C}$($p,t$) and their decay widths. Comparison is made with predictions using earlier wave functions of Barker.

• Received 22 May 2006

DOI:https://doi.org/10.1103/PhysRevC.74.024301