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The X17 boson and the $^3$H$(p,e^+ e^-)^4$He and $^3$He$(n,e^+ e^-)^4$He processes: a theoretical analysis
Nuclear Theory · Submitted 15 Apr 2021
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Next, we examine how the exchange of a hypothetical low-mass boson would impact the cross section for such a process.
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The abstract, sentence by sentence
The present work deals with $e^+$-$e^-$ pair production in the four-nucleon system. We first analyze the process as a purely electromagnetic one in the context of a state-of-the-art approach to nuclear strong-interaction dynamics and nuclear electromagnetic currents, derived from chiral effective field theory ($\chi$EFT). Next, we examine how the exchange of a hypothetical low-mass boson would impact the cross section for such a process. We consider several possibilities, that this boson is either a scalar, pseudoscalar, vector, or axial particle. The ab initio calculations use exact hyperspherical-harmonics methods to describe the bound state and low-energy spectrum of the $A\,$=$\,4$ continuum, and fully account for initial state interaction effects in the $3+1$ clusters. While electromagnetic interactions are treated to high orders in the chiral expansion, the interactions of the hypothetical boson with nucleons are modeled in leading-order $\chi$EFT (albeit, in some instances, selected subleading contributions are also accounted for). We also provide an overview of possible future experiments probing pair production in the $A\,$=$\,4$ system at a number of candidate facilities.facilities.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The present work deals with $e^+$-$e^-$ pair production in the four-nucleon system. | contribution 0.79 | 0.41 | 0.03 | asserted 0.78 |
| s1 | We first analyze the process as a purely electromagnetic one in the context of a state-of-the-art approach to nuclear strong-interaction dynamics and nuclear electromagnetic currents, derived from chiral effective field theory ($\chi$EFT). | contribution 0.61 | 0.79 | 0.03 | asserted 0.92 |
| s2 | Next, we examine how the exchange of a hypothetical low-mass boson would impact the cross section for such a process. | contribution 0.98 | 0.72 | 0.04 | unclear 0.31 |
| s3 | We consider several possibilities, that this boson is either a scalar, pseudoscalar, vector, or axial particle. | contribution 0.77 | 0.56 | 0.03 | hedged possibility 0.74 |
| s4 | The ab initio calculations use exact hyperspherical-harmonics methods to describe the bound state and low-energy spectrum of the $A\,$=$\,4$ continuum, and fully account for initial state interaction effects in the $3+1$ clusters. | method 1.00 | 0.86 | 0.03 | asserted 1.00 |
| s5 | While electromagnetic interactions are treated to high orders in the chiral expansion, the interactions of the hypothetical boson with nucleons are modeled in leading-order $\chi$EFT (albeit, in some instances, selected subleading contributions are also accounted for). | method 0.80 | 0.80 | 0.04 | asserted 0.99 |
| s6 | We also provide an overview of possible future experiments probing pair production in the $A\,$=$\,4$ system at a number of candidate facilities.facilities. | future work 0.95 | 0.61 | 0.03 | asserted 0.61 |
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The paper
Original abstract
The present work deals with $e^+$-$e^-$ pair production in the four-nucleon system. We first analyze the process as a purely electromagnetic one in the context of a state-of-the-art approach to nuclear strong-interaction dynamics and nuclear electromagnetic currents, derived from chiral effective field theory ($\chi$EFT). Next, we examine how the exchange of a hypothetical low-mass boson would impact the cross section for such a process. We consider several possibilities, that this boson is either a scalar, pseudoscalar, vector, or axial particle. The ab initio calculations use exact hyperspherical-harmonics methods to describe the bound state and low-energy spectrum of the $A\,$=$\,4$ continuum, and fully account for initial state interaction effects in the $3+1$ clusters. While electromagnetic interactions are treated to high orders in the chiral expansion, the interactions of the hypothetical boson with nucleons are modeled in leading-order $\chi$EFT (albeit, in some instances, selected subleading contributions are also accounted for). We also provide an overview of possible future experiments probing pair production in the $A\,$=$\,4$ system at a number of candidate facilities.facilities.
Human review
How the literature uses it
11 arXiv papers cite this in 26 sentences
Papers citing it · 22 sentences without a confident label
Uses its method or tool 1 paper
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The matrix elements $j^μ_EM$ and $j^c_X$ can be decomposed i) by expressing the initial scattering wave function $Ψ_m_2,m_1$ in components of definite total angular momentum and parity and ii) performing a multipolar expansion of the operators (for more details, see Ref. [ref] ).
The X17 boson and the d(p,e+ e-)3He and d(n,e+ e-)3H processes: a theoretical analysis · Decomposition of the matrix elements · 0.95
Uses its data or values 1 paper
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These values were obtained in Ref. [ref] by reproducing the 2019 ATOMKI data for the process $(p,e^+ e^-)$, using the same NVIa3N interaction employed here.
The X17 boson and the d(p,e+ e-)3He and d(n,e+ e-)3H processes: a theoretical analysis · Results including the X17 boson · 0.99
Cites it as background 1 paper
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The signals have generated a great deal of theoretical interest in both the particle and nuclear physics communities [ref] .
Quantum Chromodynamics Resolution of the ATOMKI Anomaly in ${\rm {^4He}}$ Nuclear Transitions · Introduction · 0.95
What it cites · 104 sentences without a confident label
Uses the method or tool of 7 papers
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HH methods, as described in considerable detail in Refs. [ref] , are used to calculate the $A$=$3$–4 bound- and scattering-state wave functions.
Study of $n+{}^3$H, $p+{}^3$He, $p+{}^3$H, and $n+{}^3$He scattering with the HH method · Hamiltonians and wave functions · 0.99
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HH methods, as described in considerable detail in Refs. [ref] , are used to calculate the $A$=$3$–4 bound- and scattering-state wave functions.
A high-precision variational approach to three- and four-nucleon bound and zero-energy scattering states · Hamiltonians and wave functions · 0.99
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HH methods, as described in considerable detail in Refs. [ref] , are used to calculate the $A$=$3$–4 bound- and scattering-state wave functions.
The Hyperspherical Harmonics method: a tool for testing and improving nuclear interaction models · Hamiltonians and wave functions · 0.99
Uses data or values from 10 papers
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In the more recent Ref. [ref] , “background-free” $(p,e^-e^+)$ reaction data are also reported, obtained by subtracting the counting rate due to “external” pair conversion (EPC) processes.
A new anomaly observed in $^4$He supports the existence of the hypothetical X17 particle · Numerical results: angular correlations · 0.81
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For $M_X≈17$ MeV, the most stringent lower bound, $|ε_e| > 2 ×10^-4$, comes from the SLAC E141 experiment [ref] , while the upper bound $|ε_e|< 2 ×10^-3$ has been set by the KLOE-2 experiment [ref] .
Limit on the production of a low-mass vector boson in $\mathrm{e}^{+}\mathrm{e}^{-} \to \mathrm{U}\gamma$, $\mathrm{U} \to \mathrm{e}^{+}\mathrm{e}^{-}$ with the KLOE experiment · Motivation and current status · 1.00
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One of the most stringent limits was provided by the NA48/2 experiment, which set $ε< 8 ×10^-4$ at $90$% confidence level [ref] .
Search for the dark photon in $\pi^0$ decays · Motivation and current status · 0.98
Compares with 4 papers
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From our fit to the 2019 ATOMKI data, the nucleon coupling constant, Eq. ([ref]), is estimated to be $g^P_0≡e η_0^P≈0.3$, two orders of magnitude larger than obtained in Refs. [ref] .
New Physics Suggested by Atomki Anomaly · Comparing to previous determinations of the X17 coupling constants · 0.98
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From our fit to the 2019 ATOMKI data, the nucleon coupling constant, Eq. ([ref]), is estimated to be $g^P_0≡e η_0^P≈0.3$, two orders of magnitude larger than obtained in Refs. [ref] .
Signals of the QCD axion with mass of 17 MeV/c^2: nuclear transitions and light meson decays · Comparing to previous determinations of the X17 coupling constants · 0.98
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In Ref. [ref] the coupling constants $ϵ_u$ and $ϵ_d$, entering $V$ exchange, were obtained by fitting the branching ratio for the $$ anomaly, with typical values of the order $∼ 10^-3$.
Protophobic Fifth Force Interpretation of the Observed Anomaly in $^8$Be Nuclear Transitions · Comparing to previous determinations of the X17 coupling constants · 0.91
Cites as background 21 papers
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In Ref. [ref] , a number of alternatives—that the X17 could be a scalar, a pseudoscalar, or a vector boson—were analyzed.
Protophobic Fifth Force Interpretation of the Observed Anomaly in $^8$Be Nuclear Transitions · Motivation and current status · 0.83
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Soon after, the possibility that the X17 could be a spin-1 particle interacting via axial couplings to the $u$ and $d$ quarks was explored in Ref. [ref] .
Light Axial Vectors, Nuclear Transitions, and the $^8$Be Anomaly · Motivation and current status · 0.93
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In a more recent paper [ref] —see also Ref. [ref] for a similar study—the possibility that the peak seen in the $$ experiment could be caused by higher-order QED effects, beyond the one-photon-exchange approximation, has been investigated.
X17: A new force, or evidence for a hard $\gamma +\gamma$ process? · Motivation and current status · 0.84
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