In the neutron-Pb scattering in the MeV. region, existence of the long range interaction has been known and people have hopefully expected to understand it as the effect of the electric polarization of the neutron. However the precise determination of αn in the very low energy region indicates that the polarizability of the neutron αn is around two order of magnitude smaller compared to what is...

In order to settle the fundamental question whether the nuclear forces involve the long range components, the S-wave amplitude of the proton-proton scattering is analysed in search for the extra singularity at ν = 0, which corresponds to the long range force. To facilitate the search, a function, which is free from the singularities in the neighborhood of ν = 0 when all the interactions are sho...

Based on the N-soliton solutions of $$(2+1)$$ -dimensional Sawada–Kotera equation, collisions among lump waves, line and breather waves are studied in this paper. By introducing new constraints, wave does not collide with other forever, or stays collision forever. Under condition velocity resonance, soliton molecules consisting a wave, any number derived for first time. In particular, interacti...