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

### 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.

###### Current status:
Editor-in-charge assigned

### Submission & Refereeing History

Submission scipost_201910_00041v1 on 30 October 2019