Three-body model analysis of subbarrier α transfer reaction

Subbarrier α transfer reaction ¹³C(⁶Li, d) ¹⁷O(6.356 MeV, 1/2⁺) at 3.6 MeV is analyzed with an α + d +¹³C three-body model, and the asymptotic normalization coecient (ANC) for α+¹³C → ¹⁷O(6.356 MeV, 1/2⁺), which essentially determines the reaction rate of ¹³C(α, n)¹⁶O, is extracted. Breakup eects of ⁶Li in the initial channel and those of ¹⁷O in the nal channel are investigated with the continuum-discretized coupled-channels method (CDCC). The former is found to have a large back-coupling to the elastic channel, whereas the latter turns out to be signicantly small. The transfer cross section calculated with Born approximation to the transition operator, including breakup states of ⁶Li, gives (C¹⁷O ^*_α¹³C)² = 1.03 ± 0.29 fm^-1. This result is consistent with the value obtained by the previous DWBA calculation.