## SciPost Submission Page

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

### by S. Oryu, T. Watanabe, Y. Hiratsuka and M.Takeda

### Submission summary

As Contributors: | Shinsho Oryu |

Preprint link: | scipost_201910_00041v1 |

Date submitted: | 2019-10-30 |

Submitted by: | Oryu, Shinsho |

Submitted to: | SciPost Physics Proceedings |

Proceedings issue: | 24th European Few Body Conference (University of Surrey, U.K.) |

Discipline: | Physics |

Subject area: | Nuclear Physics - Theory |

Approaches: | Theoretical, Computational |

### Abstract

A new potential, the so called ``GPT'', represents a Yukawa-type potential for shorter range, but a $1/r^n$-type potential for longer range where $n=2$ includes the Efimov-like potential. In order to confirm the existence of a GPT potential, we investigate the possibility of creating the lanthanum (La)-nucleus via the {\it ultra low energy reaction}: Cs(2d,$\gamma$)La on the three-ion quasi-molecule CsD$_2$ in a CsD$_2$Pd$_{12}$-cluster. Here, the D-Cs-D (or d-Cs-d) three-body bound state and wave function are used to calculate the electro-magnetic (EM) transition from the molecular states to the nuclear states in the Cs(2d,$\gamma$)La reaction. We obtain an approximate E2-transition ratio between the $1/r^2$-type long range potential in combination with the short range nuclear potential and the short range nuclear potentials of $W_{i\rightarrow f}^{E2';L}/W_{i\rightarrow f}^{E2';S}\approx 10^8$ which implies that the quasi molecular state is stable for the usual transition $W_{i\rightarrow f}^{E2';S}$, but nuclear synthesis occurs for $W_{i\rightarrow f}^{E2';L}$ with long range. We conclude that if the reaction Cs(2d,$\gamma$)La occurs, then the existence of the GPT potential is confirmed.