New measurements and analysis of elastic scattering of

The angular distributions of $$^{13}$$C elastically scattered by $$^{9}$$Be nuclei were measured at $$E_{Lab}$$ ($$^{13}$$C) = 16.25 and 19.5 MeV. The measured angular distributions were analyzed via the optical model and the DWBA within the coupled reaction channels methods. In addition to this, the previously obtained data were reanalyzed at energies $$E_{Lab}$$ = 22.75, 28.12, 36.15, 57.77 and 72.88 MeV. The aim of the study was to elucidate the role of the $$\alpha$$-cluster transfer mechanism in the large-angle scattering. As a result of these calculations, the optimal parameters of the potentials and their energy dependence were obtained for $$^{13}$$C+$$^{9}$$Be nuclear system. The data at the backward angles are fairly well reproduced. The spectroscopic amplitudes were extracted for the $$^{13}$$C $$\rightarrow$$$$^{9}$$Be + $$\alpha$$ configuration at various energies. The results are compared with previously reported values

Asymptotic normalization coefficient for

This work is aimed at clarifying the contribution of the proton direct radiative capture to the $${}^{12}\mathrm{C}(p,\gamma ){}^{13}\mathrm{N}$$ reaction by specifying the value of the asymptotic normalization coefficient (ANC) for $${}^{12}\mathrm{C}+p\rightarrow {}^{13}\mathrm{N}_\mathrm{g.s.}$$. In order to do this, the differential cross section of the proton transfer in the $${}^{12}\mathrm{C}({}^{10}\mathrm{B},{}^9\mathrm{Be})^{13}\mathrm{N}$$ reaction at an energy of 41.3 MeV has been measured and analyzed through the modified distorted wave Born approximation (MDWBA) method taking into account the reaction channel coupling and $${}^{3}{\mathrm{He}}$$ cluster transfer contributions. The value of the ANC was derived to be 1.63±0.13 fm$$^{-1/2}$$, which was used in estimating the astrophysical S(E) factor and the reaction rate of the proton radiative capture by the $${}^{12}{\mathrm{C}}$$ nucleus at energies of astrophysical relevance