https://doi.org/10.1051/epjconf/201612208001
Few-Body Problem in Nuclear Reactions: Beyond the horizon of the three-body Faddeev equations
Department of Physics, Faculty of Science and Technology, Tokyo University of Science, 2641 Yamazaki, Noda-city, Chiba 278-8510 Japan
a e-mail: oryu@rs.noda.tus.ac.jp
b e-mail: yasuhisa1059@gmail.com
c e-mail: watanabe@ph.noda.tus.ac.jp
Published online: 21 June 2016
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/r2 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.
© The Authors, published by EDP Sciences, 2016
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
