1.B ] Nuclear Physics A198 (1972) 321--342, (~) North-llollandPublishing Co, Amsterdam Not to be reproduced by photoprmt or microfilm w~thout written permlsslon from the publisher VECTOR AND TENSOR POLARIZATIONS IN NUCLEON-DEUTERON SCATTERING (II) I. H SLOAN t Center for Theorettcal Phystcs, Department of Physics and Astronomy, Umverstty of Maryland, Colleye Park, Maryland 20742, USA tt and J. C. AARONS *~* Department of Apphed Mathematics, Unwersity of New South Wales, Kensington, New South Wales, Austraha Recmved 31 July 1972 Abstract: The nucleon and deuteron polarizations and the differential cross sections in N-d scattering are studied for the case of separable 1So and 3SI-ZD1 potentials, with two different choices of form factors The first uses Yamaguchl form factors in both the 1S0 and 3SI-ZD1 case, as in a previous paper. The second tries to take account of the short-range N-N repulsion, by using the unitary pole approximation to the Reid 1So soft-core potential, and the modlfied-Hulth6n 3S1-3D1 potential of Brady et al It is found that the variations of the form factors, and of the percentage D-state of the deuteron, have only a small effect on all of the polarizations Therefore, as before the model is completely inadequate for predicting the vector polarizations, but gives at least some of the quahtatlve features of the second-rank deuteron polarizations, and also of course of the dlfferentml cross sectmns. The paper also gives a generalization of the scattering equations, to the case of N-N mterachons of arbitrary rank an any number of coupled or uncoupled N-N partial waves 1. Introduction In a prewous paper 1) (hereafter called I), we presented theoretical nucleon polariza- tions and deuteron vector and tensor polanzations, for elastic nucleon-deuteron scattering at several nucleon lab energies up to 22.7 MeV. The polarizations were obtained by exact solutmn of the scattering equations for the case of separable nu- cleon-nucleon interactions m both the 1So and the coupled 3S~-3D1 states, and the form factors in each case were taken to be of the Yamaguchi 2) form. The principal conclusion of paper I was that this model, which is in effect the Amado 3) model for the case of a deuteron with the correct 3S1-3D1 mixture, is On leave from the Department of Applied Mathematics, University of New South Wales, Kensington, New South Wales, Australia, until August 1972. +* Work supported in part by the National Science Foundation. T*t Present address" Department of Applied Mathematics, Umverslty of Queensland, St. Lucia, Brisbane, Queensland 4067, Australia. 321 December 1972