Study of elastic and inelastic scattering of $^7$Be + $^{12}$C at 35 MeV

Abstract

The elastic and inelastic scattering of 7 Be from 12 C have been measured at an incident energy of 35 MeV. The inelastic scattering leading to the 4.439 MeV excited state of 12 C has been measured for the first time. The experimental data cover an angular range of θcm = 15 • -120 • . Optical model analyses were carried out with Woods-Saxon and double-folding potential using the density dependent M3Y (DDM3Y) effective interaction. The microscopic analysis of the elastic data indicates breakup channel coupling effect. A coupled-channel analysis of the inelastic scattering, based on collective form factors, show that mutual excitation of both 7 Be and 12 C is significantly smaller than the single excitation of 12 C. The larger deformation length obtained from the DWBA analysis could be explained by including the excitation of 7 Be in a coupled-channel analysis. The breakup cross section of 7 Be is estimated to be less than 10% of the reaction cross section. The intrinsic deformation length obtained for the 12 C * (4.439 MeV) state is δ2 = 1.37 fm. The total reaction cross section deduced from the analysis agrees very well with Wong's calculations for similar weakly bound light nuclei on 12 C target.