Simple Method for Investigating the Parentage of States Using Two-Nucleon Transfer Reactions

We describe a promising method for investigating the parentage of nuclear states. It involves the simultaneous observation of ($p,t$) and ($p,{}_{}{}^3{}_{}{}^{}\mathrm{He}$) reactions on $0^{+}$ ($T>\mathrm{}0\mathrm{}$) targets producing analog final states with the same isospin as the target. Experimental results for $20<~A<~36$ ($T=1\mathrm{}$) reveal a number of states with apparently very simple parentage for which $j^2$ "paired" pickup predominates.