Three-Body pd Scattering with a Possible Long-Range Force

¹ Department of Physics, Tokyo University of Science, 2641 Yamazaki, Noda, Chiba - 278-8510, Chiba, JAPAN
² Department of Physics, Tsukuba University, Tsukuba-city, JAPAN
³ SGI Japan, Ltd. Yebisu Garden Place Tower, 4-20-3 Ebisu Shibuyaku-ku, Tokyo 150-6031, JAPAN

^a e-mail: oryu@ph.noda.tus.ac.jp

Abstract

The nucleon-nucleon (NN) phase shifts are represented by using a hybrid potential which is composed a short range potential of mesonic origin and a possible long range potential where the short range σ-meson potential is replaced by a Van der Waals (VW)-type potential. Therefore, “the on-shell equivalent but off-shell different” hybrid NN potentials are characterized by only two or four parameters instead of the original σ-meson potential. These potentials are used to calculate pd elastic scattering and to compare with that of the Paris (PEST) potential. Since the hybrid potential needs a longer numerical calculation time due to slower Padé convergence, we utilized only ten single channel hybrid potentials together with four coupled-channel short-range PEST potentials for the pd calculation. The pd results seem to be unreasonable in fitting the short range case, although it is not a complete calculation. In spite of using such hybrid off-shell different potentials only for ¹S₀ and ³P₀ -states plus the short range NN for the other states, the pd differential cross section could well represent the short range potential results except in the minimam cross section region.