Astrophysical S-factors from asymptotic normalization coefficients
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S-factors for direct capture reactions can be found at astrophysical energies from asymptotic normalization coefficients which provide the normalization of the tail of the overlap function. For example the overlap for 8B7Be+p defines the S-factor for 7Be (p, )8B. Peripheral transfer reactions offer a technique to determine these asymptotic normalization coefficients. As a test of the technique, the 16O(3He, d)17F reaction has been used to determine asymptotic normalization coefficients for transitions to the ground and first excited states of 17F. The S-factors for 16O(p, )17F calculated from these 1?F16O+p asymptotic normalization coefficients are found to be in very good agreement with recent measurements. Following the same technique, the 10B(7Be, 8B)9Be and 14N(7Be, 8B)13C reactions have been used to measure the asymptotic normalization coefficient for 7Be(p, )8B. This result provides an indirect determination of S17(O).