Nucleon - nucleon scattering phase shifts and the realistic potentials

The recent realistic nucleon-nucleon (NN) potentials are defined as set of functions vp(r), present in expression: V(r,Ω)=Σpvp(r)Op(Ω), where r is a radial variable and Ω marks the set of angular variables and spin-isospin degrees of freedom of two interacting nucleons. The sum over p in this equation is restricted because the set Op(Ω) consists of no more than 14 charge-independent operators. The main idea of paper is based on expression of NN potential in terms of orthogonal projectors Pjπt(Ω) to different two-nucleon channels jπt: V(r,Ω)=ΣjπtVjπt(r)Pjπt(Ω). The narrow set of operators Op(Ω) causes the problems with necessary number of NN phase shifts description. As a result, this produces very short set of two-nucleon channels jπt, for which the independent NN potentials Vjπt(r) can be constructed. From another side, the microscopic description of atomic nuclei requires the NN potentials, defined for large enough set of two-nucleon channels jπt. May be, namely this shortage of operators Op(Ω) causes well-known problems with lightest nuclei description.