Study of Hole-State Analogs in Mo Isotopes

A study of isobaric-analog states (IAS) excited in the ($p,d$) and ($d,t$) reactions on ${}_{}{}^{92,94,96}{}_{}{}^{}\mathrm{Mo}$, the (${}_{}{}^3{}_{}{}^{}\mathrm{He},\alpha$) reaction on ${}_{}{}^{92,96}{}_{}{}^{}\mathrm{Mo}$, and the ${}_{}{}^{98}{}_{}{}^{}\mathrm{Mo}\mathrm{}(p,d)\mathrm{}{}_{}{}^{97}{}_{}{}^{}\mathrm{Mo}$ reaction is reported. Coulomb energies and angular distributions were measured for analogs of all parent states observed in a ($d,{}_{}{}^3{}_{}{}^{}\mathrm{He}$) study on Mo targets, and some additional nuclear structure information was obtained. Distorted-wave Born-approximation calculations were performed, and the resulting spectroscopic factors reveal a pronounced decrease in $l=1\mathrm{}$ hole strength with increasing mass number as well as fluctuations in the ratios $\frac{C^2{S}_n\mathrm{}(p,d)\mathrm{}}{C^2{S}_n\mathrm{}(d,t)\mathrm{}}$. The first effect is discussed in terms of mixing with the dense spectrum of $T_{<}$ levels in the IAS region.