High-resolution radioactive beam study of the ^26Al(d,p ) reaction and measurements of single-particle spectroscopic factors

We present a detailed comparison of shell model calculations with inverse kinematic transfer reaction data, obtained using a radioactive beam. Experimentally extracted spectroscopic factors from the ^26Al(d,p)^27Al reaction for both even and odd parity states are found to be exceptionally well reproduced by the shell model and a high level of consistency is observed between bound isobaric analog states in ^27Al and ^27Si , populated via ( d , p ) and ( d , n ) transfer, respectively. Furthermore, an evaluation of key resonances in the astrophysical ^26Al(p,γ )^27Si reaction indicates that shell model calculations provide relatively accurate predictions for the existence of strong resonances and mirror nucleus comparisons appear to hold exceptionally well for proton-unbound levels. Consequently, we expect that the utilization of both techniques will likely be a very effective tool in the investigation of stellar processes outside the current reach of experiment.