An Investigation of the Nuclear Reaction Near the Three-Body Break-up Threshold: As a Ultra Low Energy Nuclear Synthesis

Abstract

We investigate the possibility of lanthanum (La)-nucleus creation via the reaction Cs(2d, γ)La on the three-ion quasi-molecule CsD 2 in the CsD 2 Pd 12-cluster. In order to calculate d-Cs-d (or D-Cs-D) three-body bound states and wave functions, we adopt a very accurate three-body variational method with more than 80 figures. The CsD 2 and La binding energies and wave functions are obtained with an S-wave trial functions. The wave function overlap (WFO) value between the La nuclear excited state and the several CsD 2 quasi molecular modified states is calculated. It should be stressed that the WFO value is of critical importance for the existence of the electromagnetic transition in the Cs(2d, γ)La reaction. We found that the WFO value is very sensitive to the nuclear potential tail with a two-or three-body 1/r 2-type long range hadron potential, and gives a promising result for the reaction. The result is also followed by the three-body Faddeev calculation. This article belongs to the Topical Collection "Ludwig Faddeev Memorial Issue".

Report on scipost_201910_00041v1

“…While, the La ground state was adjusted by using the central two-cluster Cs-d and d-d potentials to obtain −32.3MeV with the three-cluster force in Eq. (14). We conrmed that the phenomenological method for the La ground state is not very sensitive to the shallow bound states.…”

“…We believe that our calculation is the rst serious work for room temperature nuclear synthesis based upon the Faddeev approach using a long range potential [14].…”

“…In this paper, we rst investigate the three-body reaction problem: CsD 2 →La in the Pd complex instead of the ve-body problem: CsD 4 →Pr, and compare two cases with our long range potential plus nuclear potential and without the long range potential. Therefore, this reaction could be represented by Cs(d 2 ,γ)La in nuclear reaction terminology in the CsD 2 Pd 12 system with the shape of cub-octahedron [14]. Although, the Coulomb barrier still exists in this problem, we should say again that the barrier is not in the free eld but in the Pd cluster (or Pd cage).…”

“…The two-or three-body long range hadron interactions are introduced by the GPT potential which are given by a kind of three-body Emov potential [4]. Some parameters of the potential are chosen to cancel the three-body force eects at the tail of the WS potential [14], where the so-called three-body Emov potential should not be confused with the two-body potential which produces the innite value of the two-body scattering length.…”

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

“…In this paper, we first investigate the three-body reaction problem: CsD 2 →La in the Pd complex instead of the five-body problem: CsD 4 →Pr, and compare two cases with our long range potential plus nuclear potential and without the long range potential. Therefore, this reaction could be represented by Cs(d 2 ,γ)La in nuclear reaction terminology in the CsD 2 Pd 12 system with the shape of cub-octahedron [14], where γ stands for an energetic photon. Although, the Coulomb barrier still exists in this problem, we should say again that the barrier is not in the free field but in the Pd cluster (or Pd-cage).…”