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Nucleon-nucleon on-shell and off-shell contributions to the triton binding energy in an energy-dependent potential model formulation
Authors:Mariusz Orlowski
Affiliation:Purdue University, Physics Department, West Lafayette, IN 47907, USA
Abstract:An energy-dependent nucleon-nucleon (NN) potential model is presented which allows an unambiguous separation of NN on-shell and off-shell contributions to trinucleon observables. A potential of the form V(E; p, p′) = λ (E)V(p, p′) is constructed at negative energies by comparison with various hermitian potentials. The latter comparison suggests a symmetric choice of λ(E) with respect to E = 0. It is shown that the force model constructed according to the present study is more reasonable and less ambiguous than the hermitian potential model, for which the negative-energy dependence of the corresponding t-matrix is generated in an arbitrary way by the accidental choice of the off-shell behavior of the potential. The pertinent shortcomings of the conventional potential model are elucidated by their inconsistent predictions for two- and three-nucleon systems. In the case of the proposed energy-dependent potential model the on-shell information is decoupled from the off-shell behavior at positive and negative energies. This allows one to eliminate the two-body off-shell contributions within the three-body equations in a continuous process by taking the range of forces to zero while keeping at each step the two-body on-shell information unaltered.
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