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

Abstract

We demonstrate, for the first time, successful S-matrix to potential inversion for spin one projectiles with non-diagonal $S_{l{l}^{\prime }}^j$ yielding a $T_{\mathrm{R}}$ interaction. The method is a generalization of the iterative-perturbative, IP, 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 $\sigma$, $\mathrm{i}{T}_{11}$, $T_{20}$, $T_{21}$ and $T_{22}$ for d + alpha scattering over a range of energies near 10 MeV. The $T_{\mathrm{R}}$ 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.

Comments: 7 pages Revtex, 4 ps figures