p−pScattering in the Bev Range

Abstract

We outline some general methods of attacking the $p-p$ scattering problem in the Bev range. We find that a fairly definitive phase shift analysis can be made if the orbital quantum number is limited to three and if $j$ independence is assumed. For the 1-Bev case, the inequality $\sigma \left(0\mathrm{}°\right)>~{\left(\frac{k{\sigma }_t}{4\pi }\right)}^2$ (the minimum theorem) plays an essential role and facilitates the calculation. The phase shifts are found to depend on a single finite parameter. Detailed results are tabulated. The ray optical theory and the complex square-well potential are investigated and shown to be generally inadequate to describe the calculated phase shifts. A square-well potential with a central core suggests itself as a possible successful model.