Low-Energy ElasticK+−dScattering with Separable Potentials

Low-energy $K^{+}-d$ elastic-scattering cross sections are calculated using a Fadeev type of multiple-scattering formalism. The two-body interactions are taken to be $S$-wave nonlocal separable potentials of the Yamaguchi form. Coulomb forces, and the $K^{+}-K^0$ and $n-p$ mass differences are neglected. The elastic angular distribution and cross section, as well as the total cross section, are calculated for incident kaon laboratory momenta in the range 110-230 $\frac{\mathrm{MeV}}{c}$. In this momentum range it is found that for the elastic scattering cross sections the impulse-approximation result is within 10-25% and the double-scattering-approximation result is within 10% of the correct value. It is also found that in order for the optical theorem to give a good result for the total cross section, triple-scattering terms must be included. A detailed examination of the multiple-scattering series is made in order to illuminate these results.