Optical model potentials for deuteron scattering off ${}^{24}$Mg, ${}^{28}$Si, ${}^{58}$Ni, ${}^{90}$Zr, ${}^{116}$Sn, and ${}^{208}$Pb at $\sim$100 MeV/nucleon

Abstract

Angular distributions of the elastic and inelastic deuteron-nucleus scattering off ${}^{24}$Mg, ${}^{28}$Si, ${}^{58}$Ni, ${}^{90}$Zr, ${}^{116}$Sn, and ${}^{208}$Pb have been measured at a beam energy of 98 MeV/nucleon, with the goal of constraining the deuteron optical potential in this kinematical regime, and to extract the reduced transition probabilities for the ground-state transitions to low-lying excited states of these nuclei. Two potential models were used in the analysis of the measured $(d,d)$ and $(d,d^{\prime })$ data within the optical model and the distorted-wave Born approximation: the phenomenological optical model potential associated with the collective model of nuclear scattering, and the semi-microscopic double-folding model of the deuteron-nucleus potential based on a realistic density-dependent M3Y interaction. The deuteron optical potential and inelastic $(d,d^{\prime })$ scattering form factors were calculated using these two potential models, allowing for a direct comparison between the potential models as well as the validation of the deduced $E\lambda$ transition rates.

Comments: Accepted for publication in Phys. Rev. C