Asymptotic normalization coefficients for the states of nucleus 14N and astrophysical s-factors for the 13C(p,γ)14N reaction

Full text: The values of asymptotic normalization coefficients C2 of overlapping functions for the states of nucleus 14N lying below the proton separation energy have been obtained from analysis of the reaction 13C(3He,d)14N to be used in calculation of astrophysical S-factor in radiative proton capture in 13C(p,γ )14N. The astrophysical reaction belongs to CNO cycle in the stellar element production reactions [1], which defines its importance. Our experimental data on the reaction at E3He = 22.3, 32.5 and 34.0 MeV, partly published earlier [2] (0.0 MeV (1+), 2.313 MeV (0+), 3.948 MeV (1+)), partly new (4.915 MeV (0-), 5.106 MeV (2-), 7.028 MeV (2+)), as well as the other experimental data known from literature at other energies, have been analyzed in the framework of the modified DWBA [2, 3]. The value of C2 of the light vertex 3He → d + p has been corrected according to our separate investigation of the symmetric and mirror nuclei [4]. New and revised values of C2 and S of 14N→13C + p for seven states are presented in the work. The obtained values of ANCs have been used for the calculation of the contributions from both resonant and nonresonant proton captures in analysis of radiative proton capture in reaction 13C(p,γ)14N in the framework of R- matrix approach to calculate the astrophysical S-factor. The calculated values of S-factor are in agreement with the experimental data. The work was supported in part by grant of Uzbekistan Academy of Sciences 5-04. (author)