Semiclassical distorted wave model with Wigner transform of one-body density matrix - art. no. 064605

A semiclassical distorted wave (SCDW) model with realistic single particle wave functions in a finite range single particle potential is presented for multistep direct processes in nucleon inelastic scattering and charge exch ange reactions to the continuum, making use of the Wigner transform of a on e-body density matrix. The higher momentum components of target nucleons ar e properly taken into account in comparison with the previous SCDW model wi th a local density Fermi gas model. The new SCDW model still gives a simple closed-form expression for the cross section with no foe adjustable parame ter which allows a simple intuitive interpretation, just as in the previous SCDW model. This model is applied to the analyses of multistep direct proc esses of Zr-90(p,p'x) reactions at incident energies of 80 and 160 MeV. The calculated double differential cross sections including up to three-step p rocesses are compared with experimental data. The calculated cross sections at backward angles are larger than those given by the previous calculation s, and the agreement with experimental data is much improved. Discussions o n the mechanism of this improvement are given in terms of the momentum dist ribution of target nucleons. [S0556-2813(99)00912-7].