Zur Bestimmung regulärer äquivalenter Nukleon-Nukleon-Potentiale und induzierter Mehrkörperkräfte in Vielteilchensystemen
The local nucleon-nucleon potential, which contains a hard-core, is transformed into a nonlocal, but regular, equivalent potential. The canonical transformations used are restricted to the group of point transformations with infinitesimal generators which depend linearly on the momentum operators of the particles and which preserve the invariance properties. An especially simple one-parametric class of such isometric transformations is chosen, and the method is then applied to the many body problem. A formal expression is given for the induced many body forces. It is pointed out that in the “linear” and asymptotic” approximation there is only an induced static three body force and its form is given explicitly.