Eur. Phys. J. A (2004) 21: 185-192
https://doi.org/10.1140/epja/i2003-10196-9

Non-eikonal corrections for the scattering of spin-one particles

¹ Department of Physics and Astronomy, University College London, WC1E 6BT, London, UK
² Department of Physics, University of Surrey, GU2 7XH, Guildford, Surrey, UK

^* e-mail: waleed.gaber@stjude.org

Abstract

The Wallace Fourier-Bessel expansion of the scattering amplitude is generalised to the case of the scattering of a spin-one particle from a potential with a single tensor coupling as well as central and spin-orbit terms. A generating function for the eikonal-phase (quantum) corrections is evaluated in closed form. For medium-energy deuteron-nucleus scattering, the first-order correction is dominant and is shown to be significant in the interpretation of analysing power measurements. This conclusion is supported by a numerical comparison of the eikonal observables, evaluated with and without corrections, with those obtained from a numerical resolution of the Schrödinger equation for d-⁵⁸ Ni scattering at incident deuteron energies of 400 and 700 MeV.