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

Abstract

The general particle transfer (GPT) potential generates not only the Yukawa-type potential but also the 1/r n -type potential in the hadron system, where the mass dependence of the transferred (exchanged) particle is clarified. The GPT potential from the atom-molecule system to the quark-gluon system was studied, where pico-meter physics could be highlighted. It is demonstrated that the long-range three-body Efimov potential is connected with the short-range three-body force potential by the GPT potential. Some applications for historical few-body problems in physics are summarized.