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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    $$^{26}\hbox {Al}(d,p)^{27}\hbox {Al}$$26   Al    (  d  ,  p  )   27   Alreaction 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    $$^{27}\hbox {Al}$$27   Aland    $$^{27}\hbox {Si}$$27   Si, populated via ( d ,  p ) and ( d ,  n ) transfer, respectively. Furthermore, an evaluation of key resonances in the astrophysical    $$^{26}\hbox {Al}(p,\gamma )^{27}\hbox {Si}$$26   Al    (  p  ,  γ  )   27   Sireaction 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.

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