Proton-Proton Fusion in Leading Order of Effective Field Theory

Finn Ravndal; Xinwei Kong

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Proton-Proton Fusion in Leading Order of Effective Field Theory

Xinwei Kong, Finn Ravndal

Nuclear Theory · Submitted 23 Feb 1999

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim The resulting rate is independent of specific models for the strong interactions at short distances and is in agreement with the standard result in the zero-range approximation.

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What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.20 · human participants 0.01 · controlled comparison 0.09 · randomized assignment 0.01 · states quantitative result 0.09 · compares with prior results 0.94 · mentions code or data availability 0.02.

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arXiv listing abstract v2. Results and the main claim are underlined; show every role.

Using a recently developed effective field theory for the interactions of nucleons at non-relativistic energies, we calculate the rate for the fusion process $p + p \ra d + e^+ + \nu_e$ to leading order in the momentum expansion. Coulomb effects are included non-perturbatively in a systematic way. The resulting rate is independent of specific models for the strong interactions at short distances and is in agreement with the standard result in the zero-range approximation.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Using a recently developed effective field theory for the interactions of nucleons at non-relativistic energies, we calculate the rate for the fusion process $p + p \ra d + e^+ + \nu_e$ to leading order in the momentum expansion.	contribution 0.94	0.96	0.16	asserted 1.00
s1	Coulomb effects are included non-perturbatively in a systematic way.	method 0.99	0.85	0.06	asserted 1.00
s2	The resulting rate is independent of specific models for the strong interactions at short distances and is in agreement with the standard result in the zero-range approximation.	result 0.77	0.89	0.63	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.87.

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The paper

Original abstract

Using a recently developed effective field theory for the interactions of nucleons at non-relativistic energies, we calculate the rate for the fusion process $p + p \ra d + e^+ + \nu_e$ to leading order in the momentum expansion. Coulomb effects are included non-perturbatively in a systematic way. The resulting rate is independent of specific models for the strong interactions at short distances and is in agreement with the standard result in the zero-range approximation.

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References

Forward citations

Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Proton-proton fusion and tritium $\beta$-decay from lattice quantum chromodynamics
hep-lat 2016-10 conditional novelty 7.0 of 10

Lattice QCD at a pion mass of 806 MeV yields the tritium Gamow-Teller matrix element (0.979(3)(10) relative to the proton) and the two-nucleon axial counterterm L_1,A, the first direct QCD calculation of these nuclear...
Radiative bound-state-formation cross-sections for dark matter interacting via a Yukawa potential
hep-ph 2016-11 accept novelty 6.0 of 10

Leading-order cross-sections are derived for dark matter radiative bound-state formation via a Yukawa potential, with vector or scalar mediator emission, including velocity dependence and resonance structure.
Moving Multi-Channel Systems in a Finite Volume with Application to Proton-Proton Fusion
hep-lat 2012-04 conditional novelty 6.0 of 10

A finite-volume formalism connects moving, multi-channel two-hadron energy levels and weak matrix elements to infinite-volume scattering parameters and the proton-proton fusion amplitude.
Nucleon-Nucleon Effective Field Theory Without Pions
nucl-th 1999-02 accept novelty 6.0 of 10

The pionless effective field theory reproduces effective range theory for two-nucleon observables up to next-to-next-to-leading order, but four-nucleon-one-photon counterterms enter at next-to-leading order and must b...
Self-consistent Calculation of the Sommerfeld Enhancement
hep-ph 2016-03 accept novelty 5.0 of 10

Including the short-range contact interaction self-consistently in the Schrödinger equation yields a corrected Sommerfeld enhancement that respects partial-wave unitarity, with analytic results for Hulthén, Coulomb, a...

How the literature uses it

11 arXiv papers cite this in 20 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 12 sentences without a confident label

Compares with it 1 paper

This result is also consistent with Ref. [ref] by ignoring the $L_1,A^^'$ term, and Ref. [ref] by a redefinition of $L_1,A^^'$.

Near Threshold Proton-Proton Fusion in Effective Field Theory · Orbital Matrix Element $Λ(E)$ · 1.00

Cites it as background 5 papers

Since early days of EFT [ref] there have been several attempts to evaluate the $L_1,A$ to yield an accurate calculation of $Λ_pp(0)$.

Theoretical evaluation of solar proton-proton fusion reaction rate and its uncertainties · previous estimations of $L_1A$ and $Λ_pp(0)$ · 0.97
In the context of , this coupling at NLO is represented by a low-energy constant $L_1A$, whose exact value is a matter of discussion in the literature [ref] .

Tritium $\beta$-decay in pionless effective field theory · Introduction · 0.81
Low-energy single-weak processes in the two-nucleon sector, including $pp$ fusion: $pp →de^+ν_e$, neutrino(anti-neutrino)-induced disintegration of the deuteron: $ν(ν̅) d→npν(ν̅)$ and $ν̅d →e^+nn$, and muon capture on the deuteron: $μd →nn ν_μ$ have been studied in the past within the framework of pionless EFT [ref] .

Theoretical Developments in Lattice Gauge Theory for Applications in Double-beta Decay Processes and Quantum Simulation · Single-beta decay process · 1.00

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