Test of Determination of (p,γ) Astrophysical S-Factors Using the Asymptotic Normalization Coefficients from Neutron Transfer Reactions

The asymptotic normalization coefficients (ANCs) for the virtual decay ¹⁷O→¹⁶O+n are derived from the angular distributions of the ¹⁶O(d,p)¹⁷O reaction leading to the ground and first excited states of ¹⁷O, respectively, using the
distorted wave Born approximation and the adiabatic wave approximation.
The ANCs of ¹⁷F are then extracted according to charge symmetry of mirror nuclei and used to calculate the astrophysical S-factors of ¹⁶O(p,γ)¹⁷F leading to the first two states of ¹⁷F. The present results are in good agreement with those from the direct measurement. This provides a test of this indirect method to determine direct astrophysical S-factors of (p,γ) reaction. In addition, the S-factors at zero energy for the direct captures to the ground and first excited states of ¹⁷F are presented, without the uncertainty associated with the extrapolation from higher energies in direct measurement.