High-resolution radioactive beam study of the $$^{26}\hbox {Al}(d,p$$) reaction and measurements of single-particle spectroscopic factors
G. Lotay, P. J. Woods, M. Moukaddam, M. Aliotta, G. Christian, B. Davids, T. Davinson, D. T. Doherty, Debra Howell, V. Margerin, C. Ruiz
Abstract
Abstract 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 $$^{26}\hbox {Al}(d,p)^{27}\hbox {Al}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msup><mml:mrow/><mml:mn>26</mml:mn></mml:msup><mml:mtext>Al</mml:mtext><mml:msup><mml:mrow><mml:mo>(</mml:mo><mml:mi>d</mml:mi><mml:mo>,</mml:mo><mml:mi>p</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mn>27</mml:mn></mml:msup><mml:mtext>Al</mml:mtext></mml:mrow></mml:math> 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 $$^{27}\hbox {Al}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msup><mml:mrow/><mml:mn>27</mml:mn></mml:msup><mml:mtext>Al</mml:mtext></mml:mrow></mml:math> and $$^{27}\hbox {Si}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msup><mml:mrow/><mml:mn>27</mml:mn></mml:msup><mml:mtext>Si</mml:mtext></mml:mrow></mml:math> , populated via ( d , p ) and ( d , n ) transfer, respectively. Furthermore, an evaluation of key resonances in the astrophysical $$^{26}\hbox {Al}(p,\gamma )^{27}\hbox {Si}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msup><mml:mrow/><mml:mn>26</mml:mn></mml:msup><mml:mtext>Al</mml:mtext><mml:msup><mml:mrow><mml:mo>(</mml:mo><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi>γ</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mn>27</mml:mn></mml:msup><mml:mtext>Si</mml:mtext></mml:mrow></mml:math> 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.