Few-Body Problem in Nuclear Reactions:Beyond the horizon of the three-body Faddeev equations

Abstract

Abstract. Recent progress in few-body problem physics based on the three-body Faddeev equations is reviewed for three-related fields. The first field involves the description of light nuclear reactions in terms of multi-channel three-body Faddeev equations. The second field is the investigation of the two-and three-body threshold behaviors for the NNπ system using the three-body Faddeev equations, where the πD and the NN or N-(Nπ) scattering lengths are calculated, and also we show that the NN potential has a long range term of 1/r 2 form. The third is a new Coulomb treatment in terms of a generalized screening range to describe on-shell Coulomb amplitudes which is useful in the threebody Faddeev equations. This procedure reproduces both of the Coulomb phase shift and the wave function from the electron-electron to the heavy-ion-heavy-ion systems.

Generation of long- and short-range potentials from atom-molecules to quark-gluon systems by the GPT potential

“…which were discussed in the article [1,32]. Furthermore, the first excited state of the np triplet state: E 2 =13keV is obtained, however such an experimental result has not been measured yet [32].…”

“…The numerical difference between Appr-I, and Appr-II has been carefully investigated by Hiratsuka et al for the triplet n-p scattering length, π-D scattering length, the nd total cross section, the differential cross sections, the nd doublet scattering length and the triton binding energy. They claimed that those results by the Appr-I method are a better fit to the experimental results than the case of Appr-II [32,[48][49][50].…”