Asymptotic normalization coefficients for10B→9Be+p

Abstract

The differential cross sections for the reactions ${}^{9}\mathrm{Be}{(}^{10}\mathrm{B}{,}^{10}\mathrm{B}{)}^{9}\mathrm{Be}$ and ${}^{9}\mathrm{Be}{(}^{10}\mathrm{B}{,}^{9}\mathrm{Be}{)}^{10}\mathrm{B}$ have been measured at an incident energy of 100 MeV. The elastic scattering data have been used to determine the optical model parameters for the ${}^{9}\mathrm{Be}{+}^{10}\mathrm{B}$ system at this energy. These parameters are then used in distorted-wave Born approximation (DWBA) calculations to predict the cross sections of the ${}^{9}\mathrm{Be}{(}^{10}\mathrm{B}{,}^{9}\mathrm{Be}{)}^{10}\mathrm{B}$ proton exchange reaction, populating the ground and low-lying states in ${}^{10}\mathrm{B}$. By normalizing the theoretical DWBA proton exchange cross sections to the experimental ones, the asymptotic normalization coefficients (ANC's), defining the normalization of the tail of the ${}^{10}\mathrm{B}$ bound state wave functions in the two-particle channel ${}^{9}\mathrm{Be}+p$, have been found. The ANC for the virtual decay ${}^{10}\mathrm{B}(\mathrm{g}.\mathrm{s}.){\ensuremath{\rightarrow}}^{9}\mathrm{Be}+p$ will be used in an analysis of the ${}^{10}\mathrm{B}{(}^{7}\mathrm{Be}{,}^{8}\mathrm{B}{)}^{9}\mathrm{Be}$ reaction to extract the ANC's for ${}^{8}\mathrm{B}{\ensuremath{\rightarrow}}^{7}\mathrm{Be}+p$. These ANC's determine the normalization of the ${}^{7}\mathrm{Be}(p,\ensuremath{\gamma}{)}^{8}\mathrm{B}$ radiative capture cross section at very low energies, which is crucially important for nuclear astrophysics.