An investigation of the appearance of a long range nuclear potential in ultra low energy nuclear synthesis

A new potential, the generalgeneralparticleparticletransfertransferpotentialpotential: so called “GPT” potential was represented in the previous paper which indicates a Yukawa-type potential for shorter range, but a 1/r^n1/rn-type potential for longer range where n=2n=2 includes the Efimov-like potential in the hadron system. In order to confirm the existence of a GPT potential, we investigate the possibility of Cs+2d\rightarrow→La reaction on the three-ion quasi-molecule CsD_22 which is covered by twelve Pd or a CsD_22Pd_{12}12-cluster, where the three-body bound states and wave functions for D-Cs-D molecular and d-Cs-d nuclear systems are calculated. We obtain an approximate E2-transition from the molecular states to the nuclear states. The transition ratio between the short range nuclear potential with the 1/r^21/r2-type long range potential and without long range potential is W_{i\rightarrow f}^{E2';L}/W_{i\rightarrow f}^{E2';S}\approx 10^8Wi→fE2′;L/Wi→fE2′;S≈108. If the reaction Cs+2D\rightarrow→La is experimentally observed, then the existence of the GPT potential could be confirmed.