Scattering length and effective range in two dimensions: application to adsorbed hydrogen atoms

Abstract

The concepts of scattering length (a) and effective range (re) are introduced in two dimensions for an isotropic finite-range potential. Application to mutual scattering of pairs of hydrogen atoms in the triplet state adsorbed at a liquid helium surface shows the usefulness of a description in terms of two parameters. The values derived for this case are a=2.468a0 and re=11.62a0.