Determination of astrophysical C-11(p, gamma)N-12 reaction rate from the asymptotic normalization coefficients of B-12 -> B-11 + n

The squares of the neutron asymptotic normalization coefficient (ANC) for the virtual decay B-12 -> B-11 + n are extracted to be 1.20 +/- 0.26, 0.354 +/- 0.107 and 1.98 +/- 0.35 fm(-1) from the angular distributions of the B-11(d, p)B-12 reaction leading to the ground, first and second excited states of B-12 respectively, using the Johnson - Soper approach. According to charge symmetry of strong interaction, the square of proton ANC of virtual decay N-12 -> C-11 + p is determined to be 1.63 +/- 0.35 fm(-1) and then utilized to calculate the astrophysical S-factor and the rate of the direct capture contribution in the C-11(p,gamma)N-12 reaction. The astrophysical S-factor at zero energy for the direct capture, S(O), is derived to be 0.088 +/- 0.019 keV b. An evaluated S(O) of 0.092 +/- 0.009 keV b is then given by using the present and pre-existing experimental results. In addition, the proton widths of the first and second excited states of N-12 are derived to be 0.91 +/- 0.29 and 99 +/- 20 keV from the neutron ANCs of B-12 and used to compute the contribution from the first two resonances of N-12, respectively. We have also calculated the contribution from the interference effect between the direct capture and the second resonance.