Universal Two-body Physics in Dark Matter near an S-wave Resonance

Eric Braaten; H.-W. Hammer

RECORD

Universal Two-body Physics in Dark Matter near an S-wave Resonance

Eric Braaten, H.-W. Hammer

High Energy Physics - Phenomenology · Submitted 19 Mar 2013

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

The authors' main claim We point out that if the resonance is in the S-wave channel, the mechanisms are equivalent sufficiently near the resonance and they are constrained by universal two-body physics.

how it is stated · asserted 0.91 read the record →

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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,877 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.29 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.18 · compares with prior results 0.30 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

The dark matter annihilation rate at small relative velocities can be amplified by a large boost factor using various mechanisms, including Sommerfeld enhancement, resonance enhancement, and Breit-Wigner enhancement. These mechanisms all involve a resonance near the threshold for a pair of dark matter particles. We point out that if the resonance is in the S-wave channel, the mechanisms are equivalent sufficiently near the resonance and they are constrained by universal two-body physics. The amplified annihilation rate requires a corresponding amplification of the elastic scattering cross section. If the resonance is a bound state below the threshold, it has an increased lifetime that is inversely proportional to the square root of the binding energy. Its spatial structure is that of two dark matter particles whose mean separation is also inversely proportional to the square root of the binding energy.

background contribution method result interpretation main claim

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 dark matter annihilation rate at small relative velocities can be amplified by a large boost factor using various mechanisms, including Sommerfeld enhancement, resonance enhancement, and Breit-Wigner enhancement.	background 1.00	0.05	0.04	asserted 0.60
s1	These mechanisms all involve a resonance near the threshold for a pair of dark matter particles.	background 1.00	0.08	0.04	asserted 1.00
s2	We point out that if the resonance is in the S-wave channel, the mechanisms are equivalent sufficiently near the resonance and they are constrained by universal two-body physics.	contribution 0.68	0.82	0.82	asserted 0.91
s3	The amplified annihilation rate requires a corresponding amplification of the elastic scattering cross section.	result 0.75	0.46	0.18	asserted 1.00
s4	If the resonance is a bound state below the threshold, it has an increased lifetime that is inversely proportional to the square root of the binding energy.	result 0.97	0.54	0.08	asserted 1.00
s5	Its spatial structure is that of two dark matter particles whose mean separation is also inversely proportional to the square root of the binding energy.	result 0.91	0.58	0.07	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.95 · evidence from argument 0.78.

What was examined, and what was not

sources read

arXiv listing abstract v2

not examined

full text
figures and tables
references and citing sentences
relations to other papers

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P abstract

not run

S sections
T body sentences
C citations
R cross-paper relations

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 dark matter annihilation rate at small relative velocities can be amplified by a large boost factor using various mechanisms, including Sommerfeld enhancement, resonance enhancement, and Breit-Wigner enhancement. These mechanisms all involve a resonance near the threshold for a pair of dark matter particles. We point out that if the resonance is in the S-wave channel, the mechanisms are equivalent sufficiently near the resonance and they are constrained by universal two-body physics. The amplified annihilation rate requires a corresponding amplification of the elastic scattering cross section. If the resonance is a bound state below the threshold, it has an increased lifetime that is inversely proportional to the square root of the binding energy. Its spatial structure is that of two dark matter particles whose mean separation is also inversely proportional to the square root of the binding energy.

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References

Forward citations

Cited by 8 Pith papers

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

Self-Interacting Dark Matter: From Particle Physics Theories to Structure Formation Simulations
astro-ph.CO 2026-10 accept novelty 7.0 of 10

The authors develop and validate a unified framework that translates microscopic dark-sector physics into the simulation inputs required for cosmological N-body simulations of self-interacting dark matter.
EFT Approaches to Sommerfeld Enhancement and Bound States in Singular Potentials
hep-ph 2026-09 accept novelty 7.0 of 10

Using non-relativistic effective field theory and quantum mechanics with UV regularization, the authors prove that renormalizable pseudoscalar exchange yields no Sommerfeld enhancement at weak coupling, while derivati...
A Practical and Consistent Parametrization of Dark Matter Self-Interactions
hep-ph 2019-08 accept novelty 6.0 of 10

Dark matter self-interaction cross sections can be accurately parametrized by a two-parameter effective-range formula across many proposed particle models.
Capture and Decay of Electroweak WIMPonium
hep-ph 2016-10 conditional novelty 6.0 of 10

Radiative capture of wino dark matter into bound states is suppressed by about four orders of magnitude relative to direct annihilation, so WIMPonium does not appreciably change wino indirect-detection signals.
Stable Bound States of Asymmetric Dark Matter
hep-ph 2014-07 conditional novelty 6.0 of 10

In a minimal asymmetric dark matter model with an attractive scalar mediator, dark matter binds into two-body states and larger nuggets, and for mediator masses below the binding energy with coupling above about 0.1 m...

Show 3 more citing papers

Dark Nuclei I: Cosmology and Indirect Detection
hep-ph 2014-06 conditional novelty 6.0 of 10

Dark nucleosynthesis, the dark-sector analogue of Big Bang nucleosynthesis, can produce indirect-detection signals from asymmetric dark matter without requiring any symmetric component.
Powerful Solar Signatures of Long-Lived Dark Mediators
astro-ph.HE 2017-03 conditional novelty 5.0 of 10

If dark matter in the Sun annihilates through a long-lived mediator, solar gamma-ray and neutrino telescopes could probe spin-dependent dark matter scattering by orders of magnitude beyond current direct detection limits.
The Effective Theory of Self-Interacting Dark Matter
hep-ph 2013-07 conditional novelty 5.0 of 10

A renormalization procedure makes the Sommerfeld enhancement from singular dark-matter potentials cutoff-independent, at the cost of one ultraviolet phase per scattering channel.

How the literature uses it

21 arXiv papers cite this in 36 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 · 24 sentences without a confident label

Builds on it 1 paper

Given the recent excitement about self-interacting dark matter, one can try to apply the new ideas mentioned in [ref] to other respects of dark matter physics.

Direct detection of dark matter in universal bound states · Introduction · 0.84

Cites it as background 10 papers

Braaten and Hammer pointed out that the elastic scattering cross section of the dark-matter particles, their total annihilation cross section, and the binding energy and width of a dark matter bound state are all determined by the complex S-wave scattering length [ref] .

Zero-Range Effective Field Theory for Resonant Wino Dark Matter II. Coulomb Resummation · Introduction · 0.85
There have been several previous applications of zero-range effective field theories to dark matter with resonant S-wave self-interactions [ref] .

Zero-Range Effective Field Theory for Resonant Wino Dark Matter I. Framework · Introduction · 0.91
For Yukawa forces generated by the exchange of a massive particle, the cross sections can be resonantly enhanced by orders of magnitude for particular mass values [ref] , reflecting the universal physics of large scattering length [ref] in the presence of a shallow bound state (or quasi-bound state for higher partial waves [ref] ).

Perturbative Unitarity Violation in Radiative Capture Transitions to Dark Matter Bound States · Introduction · 0.85

What it cites · 20 sentences without a confident label

Compares with 2 papers

Near threshold, it scales as $σ_rc(k)∼k/(γ^2 + k^2)$, which is in agreement with the E1 term in the radiative capture cross section for a proton$(p)$ and a neutron($n$) into a deuteron($d$) calculated in a low-energy effective field theory for nucleons with large scattering lengths [ref] .

n+p -> d+gamma for Big-Bang Nucleosynthesis · Radiative Capture of Wimps · 0.95
Finally, we note that a comparison of our result with the previous work of Pospelov and Ritz [ref] is not possible.

Astrophysical Signatures of Secluded Dark Matter · Radiative Capture of Wimps · 0.90

Cites as background 4 papers

The use of such a resonance to boost the low-energy annihilation rate was proposed by Ibe et al. [ref] and is called Breit-Wigner enhancement.

Breit-Wigner Enhancement of Dark Matter Annihilation · Dark Matter Scattering · 0.92
Backović and Ralston have emphasized the importance of the widths of particles in dark matter annihilation [ref] .

Limits on Threshold and "Sommerfeld" Enhancements in Dark Matter Annihilation · Universal Relations · 0.81
Arkani-Hamed et al. increased the interest in these enhancements when they pointed out that a light gauge boson from a hidden sector could explain several possible anomalies in particle astrophysics [ref] .

A Theory of Dark Matter · Dark Matter Scattering · 0.88

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