Direct Inversion of Rotationally Inelastic Cross Sections: Determination of the Anisotropic Ne-D2Potential

Abstract

The anisotropic interaction potential for Ne-${\mathrm{D}}_{2}$ is determined by a direct inversion method from the measured rotationally inelastic $j=0\ensuremath{\rightarrow}j=2$ and elastic $j=0\ensuremath{\rightarrow}j=0$ differential cross sections. The values obtained yield the repulsive part of the interaction in the range 2.43 to 2.77 \AA{}. This is the first inversion of inelastic scattering data. The method is restricted to weak inelastic systems. It is computationally simple, and involves only errors of \ensuremath{\sim} 5% in the inverted potential.