A Study and Comparison of Various Nucleon-Nucleon (NN) Potential Models and Forms (Shapes)

Physics – Nuclear Physics – Nuclear Theory

Scientific paper

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54 pages, 10 figures

Scientific paper

In the few past decades, many Nucleon-Nucleon (NN) potentials have been represented. These Potentials have been constructed in a manner that fit NN scattering data (phase shifts), and also compared in this way; in other words, a high quality scale of a potential is that it fits NN scattering data with chi-squared per datum equal to one, but since this scale has some failures, therefore, it is not only scale of the quality measurement of potentials. Thus, the comparison of NN potentials by other methods becomes necessity. Giving satisfactory results in the nuclear structure calculations is another method for the quality measurement of potentials. We, here, first present a review on NN interaction including basic concepts, NN models and shapes, and then compare the potential forms: Reid68-Day, Reid93, UrbanaV14, ArgonneV18, Nijm93, NijmI, NijmII, in a nearly substantial way; i.e., taking into consideration the potential structure and therefore, somewhat, regarding their substantial basis. Since these potentials have been written in different schemes, thus for their comparing with each other, it is necessary that the potentials be written in one (same) shape. On the other hand, because three major terms in the NN interaction are central, tensor, and spin-orbit terms, thus, to perform a reduction plan, we choose Reid potential form, and then compare the potentials for some states from J=0 up to J=9. The charge-dependence of charge-dependent potentials is also showed. In the end, we mention a general list of the works on NN interaction in the recent years.

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