Abstract
Recently, a new measurement of the (150 A MeV)dissociation in the field of has been reported [Hammache et al., Phys. Rev. C 82, 065803 (2010)] to study the radiative capture process. However, the dominance of the nuclear breakup over the Coulomb one prevented the information about the process from being obtained from the breakup data. The astrophysical factor has been calculated within the two-body potential model with potentials determined from the fits to the elastic scattering phase shifts. However, the scattering phase shift, according to the theorem of the inverse scattering problem, does not provide a unique bound-state potential, which is the most crucial input when calculating the astrophysical factor at astrophysical energies. In this work, we emphasize the important role of the asymptotic normalization coefficient (ANC) for , which controls the overall normalization of the peripheral process and is determined by the adopted bound-state potential. Since the potential determined from the elastic scattering data fit is not unique, the same is true for the ANC generated by the adopted potential. However, a unique ANC can be found directly from the elastic scattering phase shift, without invoking intermediate potential, by extrapolation the scattering phase shift to the bound-state pole [Blokhintsev et al., Phys. Rev. C 48, 2390 (1993)]. We demonstrate that the ANC previously determined from the elastic scattering -wave phase shift [Blokhintsev et al., Phys. Rev. C 48, 2390 (1993)], confirmed by ab initio calculations, gives , which at low energies is about less than the other one reported [Hammache et al., Phys. Rev. C 82, 065803 (2010)]. We recalculate also the reaction rates, which are lower than those obtained in that same study [Hammache et al., Phys. Rev. C 82, 065803 (2010)].
- Received 25 February 2011
DOI:https://doi.org/10.1103/PhysRevC.83.055805
©2011 American Physical Society