New nucleon-nucleon potential model

Energy-dependent potential of the form V(E,p,p′)= λ(E)V(p,p′) is constructed at negative energies, while λ(E) at positive energies is determined directly by given (experimental) phase shifts. A method of constructing λ(E) at negative energies guided by the comparison with the Hermitian potential model is generalized to the principle of symmetric on-shell equivalence which fullfils the unitarity and analyticity requirements and imposes qualitatively the same constraints at the negative energies at the conventional potential model. It is shown that the latter principle leads to a nucleon-nucleon force which is more reasonable and more self-consistent in explaining two- and three-body systems at the same time than the conventional potential model. Moreover, the new force model is more flexible than the conventional one and allows extraction of dependences between various two- and three-nucleon observables, which are not possible to achieve using the Hermitian potential model.