STRIPPING FORM FACTORS FOR REACTION 40CA(D,P)41CA(2.02-MEV)

The methods of a previous paper, in which stripping form factors are taken to be solutions of an inhomogeneous Schrödinger equation, are used to calculate the form factor for the reaction 40Ca(d, p)41Ca(2.02 MeV), and these form factors are used in distorted wave studies of this reaction. The ground state of 40Ca is assumed to have a 2-hole-2-particle impurity, (1d 3 2)-2(1f 7 2)2. The 3 2- level at 2.02 MeV in 41Ca is assumed to consist entirely of the configuration, (1d 3 2)-1(1f 7 2)2. It is found that both the magnitudes and shapes of the differential cross sections are sensitive to the form of the interparticle interaction assumed in the form factor calculation. In all cases the spectroscopic factors obtained from using the more realistic model are larger than those obtained from the conventional procedure of using a Woods-Saxon eigenfunction as form factor. The suggestion that the cross sections should be sensitive to the presence of a 2d 3 2 component in the wave function of the 41Ca 2.02 MeV level is studied. A set of coupled equations for the 1d 3 2 and 2d 3 2 components of the form factor are derived. When combined these components are shown to yield a form factor which is identical to the solution of the inhomogeneous equation. The analysis of the 2d component in terms of the shell model leads to a simple theory for the bound radial funtion of such wave function components, which, because they lie in the continuum in zero order, are probably not well represented by the usual harmonic oscillator functions. © 1969.