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

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... ring 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 1 S 0 and 3 P 0 -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.