Spin 1 inversion: A Majorana tensor force for deuteron alpha scattering

We demonstrate, for the first time, successful S-matrix to potential inversion for spin 1 projectiles with nondiagonal $S_{{\mathrm{ll}}^{\prime }}^j$ yielding a $T_R$ interaction. The method is a generalization of the iterative-perturbative method. We present a test case indicating the degree of uniqueness of the potential. The method is adapted, using established procedures, into direct observable to potential inversion, fitting $\sigma ,$ ${\mathrm{iT}}_{11},$ $T_{20},$ $T_{21},$ and $T_{22}$ for d + alpha scattering over a range of energies near 10 MeV. The $T_R$ interaction which we find is very different from that proposed elsewhere, both real and imaginary parts being very different for odd and even parity channels.