Forbidden (p, d) Transition and Their CCBA Analysis

Abstract

The angular distributions for the (p, d) transitions leading to the 4.30-MeV (5/2⁻) and 6.48-MeV (7/2⁻) states in ¹¹C, 2.05-MeV (7/2⁺) state in ²³Mg, 2.16-MeV (7/2⁺) state in ²⁷Si, 3.64-MeV (9/2⁻) state in ³⁹Ca, and 1.08-MeV (9/2⁻) and 1.56-MeV (11/2⁻) states in ⁴⁹Cr have been measured at E_p=52 MeV. They are forbidden within the frame work of simple shell-model configurations and one-step DWBA theory. All the angular distribution shapes are satisfactorily reproduced by CCBA calculations in which inelastic couplings both in the initial and final channels are considered. The CCBA calculations also give the cross section magnitudes reasonably well; calculated values are within 30% of the experimental values except two cases. The calculated cross sections for the 9/2⁻ state of ³⁹Ca and the 11/2⁻ state of ⁴⁹Cr are roughly a factor of two too large. Possible origins of such discrepancies are discussed.