Background:The 12 C( 6 Li,d) reaction has been used as an indirect method to calculate the astrophysical S factor for the 12 C(α,γ ) reaction at Gamow energy (300 keV). Purpose: The 12 C( 6 Li,d) reaction is usually interpreted in terms of direct transfer. In this work we investigate the reaction mechanism and determine the effects of breakup on transfer and therefore on the extracted spectroscopic amplitudes. Method: The deuteron angular distributions for the 12 C( 6 Li,d) 16 O * has been measured at 20 MeV, populating discrete states of 16 O. continuum discretized coupled channel-coupled reaction channel (CDCC-CRC) calculations have been used to analyze the data. Results: Results show a new reaction mechanism, where transfer occurs after the breakup of the loosely bound 6 Li in the population of some bound states of 16 O. A comparison of the CDCC-CRC calculations with respect to the measured data were used to determine the α spectroscopic amplitudes and factors for the different states of 16 O. Using the spectroscopic amplitudes obtained in this work, the E2 S factor for the 12 C(α,γ ) reaction has been calculated in the framework of a two-body potential model and compared to measurements.
Conclusions:The present study very clearly shows that the breakup and transfer coupling effects are strong in the 12 C( 6 Li,d) reaction. The present work extracts, in the framework of a coupled reaction channel theory, the spectroscopic amplitudes of the bound and unbound states of 16 O. All previous analysis and new measurements should therefore be reexamined from this viewpoint to extract the astrophysical observables correctly.