Three-body calculation of elastic and inelastic scattering of deuterons on 24Mg

Deuteron–nucleus scattering is described using exact three-particle equations. The theory is formulated in an extended Hilbert space allowing the excitation of the target nucleus. Alt, Grassberger, and Sandhas equations for transition operators are solved in the momentum-space framework including the Coulomb interaction via the screening and renormalization method. The calculations are performed for elastic and inelastic scattering of deuterons on 24Mg using the rotational model for the excitation potential. A reasonable agreement with the experimental data for the first excited state 2+2+ of 24Mg is achieved when the quadrupole deformation parameter β2=0.47β2=0.47 is used. This new value is more consistent with the inelastic proton scattering data requiring β2≈0.5β2≈0.5 than previous determinations β2≈0.4β2≈0.4 based on two-body deuteron–nucleus models.