A new horizon of Few-Body Problems: Exact Coulomb treatment and the energy-momentum translation of the three-body Faddeev equation

Oryu, Shinsho; Watanabe, Takashi; Hiratsuka, Yasuhisa; Kodama, A; Togawa, Yoshio; Takeda, Masayuki

doi:10.1088/1742-6596/915/1/012001

Cited by 7 publications

(8 citation statements)

References 42 publications

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“…We mentioned that the WFO value is critical for the occurrence of the Cs(2d, γ )La reaction. Recently, one of the authors (S.O) proposed a new long range nuclear potential of the form: 1/r n [10][11][12][13][14]. We pointed out why such a long range part in the one pion transfer interaction or the Yukawa potential comes from [14].…”

Section: Conclusion and Discussionmentioning

confidence: 97%

“…Our conclusion was that any particle transfer in the three-body Faddeev theory [19] generates not only the short range, but also the long range interactions which was called the general particle transfer (GPT) potential. Therefore, any two-body nuclear potential in the three-body constituents is constructed by the GPT potential [10][11][12][13][14]. Furthermore, the three-body problem with the GPT potential generates also a GPT potential between the two-body center of mass and the spectator.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

“…However, such a nuclear energy level is still far from the molecular state. Therefore, one could imagine that the nuclear states with the long range potential, which have predicted in the hadron three-body system [10][11][12][13][14] could interpolate such a region between the nuclear state and the molecular state. In order to investigate a very shallow nuclear state, we would like to study nuclear d-Cs-d three-body problem by a very accurate three-body variational (HDV) method with 80 to 100 figures based on a usual variational approach [15].…”

Section: Introductionmentioning

confidence: 99%

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

Oryu

Watanabe

Hiratsuka³

et al. 2019

Few-Body Syst

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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".

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Section: Conclusion and Discussionmentioning

confidence: 97%

Section: Conclusion and Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

Oryu

Watanabe

Hiratsuka³

et al. 2019

Few-Body Syst

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“…The general particle transfer (GPT) potential was proposed one decade ago [1], and some related papers have since been published [2][3][4][5][6]. One of the important properties of the GPT theory is a generalization of the Efimov theory [7,8].…”

Section: Introductionmentioning

confidence: 99%

“…The answer is provided in the recent article [6], which will be reviewed here. (5) The latest question is can one find the long range Efimov potential of 1/ρ 2 = 1/(r 2 12 + r 2 23 + r 2 31 ). This is answered in reference [6] which will be repeated in this paper.…”

Section: Introductionmentioning

confidence: 99%

The General Particle Transfer Potential in a Range of Physical Systems and its Long Range Component

Oryu

2021

Few-Body Syst

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A long range potential the so-called general particle transfer (GPT) potential was proposed for three-body systems almost one decade ago. In this report, we will illustrate another GPT feature from the dispersion theoretical point of view. The index number of the long range potential is related to the exchange particle mass which represents the threshold of multi-pion creation in the potential cut. The index number is proportional to the exchange particle mass. Therefore, the potential with a large exchange particle mass is negligible compared to that with a small mass. Since the quasi-two-body form factors are also given by the GPT potential, then the GPT potential is represented not by a linear form but by an entangled non-linear long range potential. This results in a long range three-body Efimov-type potential.

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A Possibility of Nuclear Reaction Near the Three-Body Break-Up Threshold

Oryu

Watanabe

Hiratsuka³

et al. 2020

Recent Progress in Few-Body Physics

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A new horizon of Few-Body Problems: Exact Coulomb treatment and the energy-momentum translation of the three-body Faddeev equation

Cited by 7 publications

References 42 publications

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

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

The General Particle Transfer Potential in a Range of Physical Systems and its Long Range Component

A Possibility of Nuclear Reaction Near the Three-Body Break-Up Threshold

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