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    About the consistency of OPEP in nucleon-nucleon potential models and data analyses phase shifts
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    Abstract:
    The current understanding of the NN force in terms of boson exchange predicts a dominance of OPEP for the long range part beyond 3 fm. The NN data are well reproduced with the Bonn, Nijmegen and Paris potentials. Independent of these model potentials are phase shift analyses from the VPI-Arndt and Nijmegen-de Swart groups. Using Gel`fand -Levitan and Marchenko inversion and Darboux-Crum-Krein transformations we can reproduce all features of potential models and in particular their OPEP tail with very high precision and radii r<15 fm. This confirmation of the analytic OPEP tail proves the validity of the inversion algorithms. This is important since we find that neither the Nijmegen phase shift analysis nor the SM94 and/or VZ40 Arndt PSA data imply OPEP in a clear and decisive form. From our analysis we conclude that OPEP is sufficient but not necessary to explanin present data.
    Keywords:
    Dominance (genetics)
    We report on investigations of the applicability of non-relativistic constituent quark models to the low-energy nucleon-nucleon (NN) interaction. The major innovations of a resulting NN potential are the use of the $^3$P$_0$ decay model and quark model wave functions to derive nucleon-nucleon-meson form-factors, and the use of a colored spin-spin contact hyperfine interaction to model the repulsive core rather than the phenomenological treatment common in other NN potentials. We present the results of the model for experimental free NN scattering phase shifts, S-wave scattering lengths and effective ranges and deuteron properties. Plans for future study are discussed.
    Phenomenological model
    Constituent quark
    Citations (6)
    We discuss the use of the low-momentum nucleon–nucleon (NN) interaction Vlow-k in the derivation of the shell-model effective interaction and emphasize its practical value as an alternative to the Brueckner G-matrix method. We present some selected results of our current study of exotic nuclei around closed shells, which have been obtained starting from the CD-Bonn potential. We also show some results of calculations performed with different phase-shift equivalent NN potentials, and discuss the effect of changes in the cutoff. momentum which defines the Vlow-k potential.
    Cut-off
    Momentum (technical analysis)
    The properties of the nucleon-nucleon bound state in the deuteron are considered. Nucleon-nucleon interactions of the Yukawa, Reid and Paris potential forms are used to describe the deuteron bound state. Also, the nucleon-nucleon interaction with different meson exchanges derived from the meson theory as well as the nucleon-nucleon interaction with quark exchange derived from the quark theory by introducing the quark-quark potential with one gluon exchange are used to investigate the deuteron properties. The deuteron binding energy, quadrupole moment, effective range, root-mean-square radius and the D/S ratio are calculated by using different nucleon-nucleon interactions. The obtained results of the present calculations are in good agreement with the experimental values.
    Yukawa potential