Diffractional Scattering of Fast Deuterons by Nuclei

Abstract

The elastic scattering cross section ${\sigma }_e$ and the diffractional disintegration cross section ${\sigma }_d$ for fast deuterons incident on absolutely black nuclei are determined, and the energy spectrum of the disintegration products is found. For $R\gg R_d\gg \lambda$ [where $R$ and $R_d$ are the radii of the nucleus and of the deuteron, respectively, and $\lambda$ is ${\left(2\mathrm{}\pi \right)}^{-1\mathrm{}}$ times the wavelength of the deuteron], the cross sections are ${\sigma }_e=\pi R^2+\frac{2}{3}\pi (1-\ln 2)R{R}_d$ and ${\sigma }_d=\frac{1}{3}\pi (2\mathrm{}\ln 2-\frac{1}{2})R{R}_d$.