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.
Highlights
We adopt the Van der Waals (VW)-type potential which is equivalent for the long range limit to the London type
We show the VW-type potential parameters See Table1
We did not have a reasonable understanding of this fact, the three-body calculation raises a problem in which the three-body Padeconvergence is slower than the short range potential calculation except for the twobody J = 0 cases which seems to be a kind of litmus test. (See Fig.18.) Here we show a three-body calculation with the modified 1P1 plus the original 3S 1 −3 D1 states obtained using the Padeapproximation[10]
Summary
This is an Open Access article distributed under the terms of the Creative Commons Attribution-Noncommercial License 3.0, which permits unrestricted use, distribution, and reproduction in any noncommercial medium, provided the original work is properly cited Article available at http://www.epj-conferences.org or http://dx.doi.org/10.1051/epjconf/20100305023
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