New approach to NN with perturbative pions

Silas Beane

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New approach to NN with perturbative pions

Silas Beane

Nuclear Theory · Submitted 29 Dec 2009

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

The authors' main claim The current status of effective field theory (EFT) descriptions of nucleon-nucleon (NN) interactions is briefly reviewed, and a new formulation of EFT which treats pion interactions perturbatively is presented.

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What the abstract itself states, as probabilities: claims first 0.07 · states limitation 0.08 · human participants 0.02 · controlled comparison 0.13 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.93 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; show every role.

The current status of effective field theory (EFT) descriptions of nucleon-nucleon (NN) interactions is briefly reviewed, and a new formulation of EFT which treats pion interactions perturbatively is presented. This approach differs from the Kaplan-Savage-Wise (KSW) expansion in that the singular short distance part of the pion tensor interaction is summed to all orders.

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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	The current status of effective field theory (EFT) descriptions of nucleon-nucleon (NN) interactions is briefly reviewed, and a new formulation of EFT which treats pion interactions perturbatively is presented.	contribution 0.90	0.73	0.34	asserted 0.98
s1	This approach differs from the Kaplan-Savage-Wise (KSW) expansion in that the singular short distance part of the pion tensor interaction is summed to all orders.	method 0.49	0.64	0.20	asserted 1.00

What kind of paper the classifier reports this is: method or tool 0.94 · evidence from proof or derivation 0.53.

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arXiv listing abstract v1

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

The current status of effective field theory (EFT) descriptions of nucleon-nucleon (NN) interactions is briefly reviewed, and a new formulation of EFT which treats pion interactions perturbatively is presented. This approach differs from the Kaplan-Savage-Wise (KSW) expansion in that the singular short distance part of the pion tensor interaction is summed to all orders.

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What this paper does with the arXiv papers it cites

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

What it cites · 14 sentences without a confident label

Compares with 3 papers

All three of our results are improvements over the NNLO KSW computation in [ref] , and with the exception of $ϵ_1$, show signs of converging on the correct answer.

The NN scattering 3S1-3D1 mixing angle at NNLO · NNLO calculation of spin-triplet amplitudes · 0.98
All three of our results are improvements over the NNLO KSW computation in [ref] , and with the exception of $ϵ_1$, show signs of converging on the correct answer.

NNLO Corrections to Nucleon-Nucleon Scattering and Perturbative Pions · NNLO calculation of spin-triplet amplitudes · 0.98
Nevertheless, numerically our NNLO results compare favorably with the NLO Weinberg expansion results in [ref] , with the exception of $ϵ_1$ which is comparable to LO.

Nuclear forces from chiral Lagrangians using the method of unitary transformation II: The two-nucleon system · Remaining issues · 0.99

Cites as background 18 papers

The alternative KSW theory entails an expansion of the NN scattering amplitude, instead of the nuclear potential, effected by computing a well-defined class of Feynman diagrams at each order in the expansion [ref] .

Two-Nucleon Systems from Effective Field Theory · Weinberg and KSW · 0.91
The alternative KSW theory entails an expansion of the NN scattering amplitude, instead of the nuclear potential, effected by computing a well-defined class of Feynman diagrams at each order in the expansion [ref] .

Nucleon-Nucleon Scattering from Effective Field Theory · Weinberg and KSW · 0.91
The alternative KSW theory entails an expansion of the NN scattering amplitude, instead of the nuclear potential, effected by computing a well-defined class of Feynman diagrams at each order in the expansion [ref] .

A New Expansion for Nucleon-Nucleon Interactions · Weinberg and KSW · 0.91

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