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Title: Self-consistent calculation of the Sommerfeld enhancement

Abstract

A calculation of the Sommerfeld enhancement is presented and applied to the problem of s-wave non-relativistic dark matter annihilation. The difference from previous computations in the literature is that the effect of the underlying short-range scattering process is consistently included together with the long-range force in the effective QM Schrödinger problem. Our procedure satisfies partial-wave unitarity where previous calculations fail. We provide analytic results for some potentials of phenomenological relevance.

Authors:
 [1];  [2]; ORCiD logo [3]
+ Show Author Affiliations
  1. Weizmann Inst. of Science, Rehovot (Israel). Department of Particle Physics and Astrophysics
  2. Weizmann Inst. of Science, Rehovot (Israel). Department of Particle Physics and Astrophysics ; Institute of Particle and Nuclear Studies, High Energy Accelerator Research Organization, Tsukuba (Japan)
  3. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Center for Theoretical Physics
Publication Date:
Research Org.:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1436982
Report Number(s):
MIT-CTP/4775
Journal ID: ISSN 1475-7516; DE-SC00012567; TRN: US1900258
Grant/Contract Number:  
SC0013999; SC00012567
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Cosmology and Astroparticle Physics
Additional Journal Information:
Journal Volume: 2016; Journal Issue: 06; Journal ID: ISSN 1475-7516
Publisher:
Institute of Physics (IOP)
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; dark matter theory; particle physics - cosmology connection

Citation Formats

Blum, Kfir, Sato, Ryosuke, and Slatyer, Tracy R. Self-consistent calculation of the Sommerfeld enhancement. United States: N. p., 2016. Web. doi:10.1088/1475-7516/2016/06/021.
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Blum, Kfir, Sato, Ryosuke, & Slatyer, Tracy R. Self-consistent calculation of the Sommerfeld enhancement. United States. https://doi.org/10.1088/1475-7516/2016/06/021
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Blum, Kfir, Sato, Ryosuke, and Slatyer, Tracy R. Wed . "Self-consistent calculation of the Sommerfeld enhancement". United States. https://doi.org/10.1088/1475-7516/2016/06/021. https://www.osti.gov/servlets/purl/1436982.
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@article{osti_1436982,
title = {Self-consistent calculation of the Sommerfeld enhancement},
author = {Blum, Kfir and Sato, Ryosuke and Slatyer, Tracy R.},
abstractNote = {A calculation of the Sommerfeld enhancement is presented and applied to the problem of s-wave non-relativistic dark matter annihilation. The difference from previous computations in the literature is that the effect of the underlying short-range scattering process is consistently included together with the long-range force in the effective QM Schrödinger problem. Our procedure satisfies partial-wave unitarity where previous calculations fail. We provide analytic results for some potentials of phenomenological relevance.},
doi = {10.1088/1475-7516/2016/06/021},
journal = {Journal of Cosmology and Astroparticle Physics},
number = 06,
volume = 2016,
place = {United States},
year = {Wed Jun 08 00:00:00 EDT 2016},
month = {Wed Jun 08 00:00:00 EDT 2016}
}
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Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1088/1475-7516/2016/06/021
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Cited by: 54 works
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Figures / Tables:

Figure 1 Figure 1: SE vs m∗/M for the Hulthén potential. Left: naive SE given by S(v) of eq. (3.6), corresponding to the usual computation in the literature. The regulated SE computed from eq. (2.39) is superimposed, but the difference from the usual method is invisible on the scale of the plot.more » Right: zoom-in on one of the resonant SE peaks. The regulated SE obtained from eq. (2.39) is the smooth lower curve below the sharp peak of the naive S(v). For this plot, we took α = 1, v = 10−6, and short-range annihilation and elastic cross sections σv0 = 1/(32πM2) and σsc,0 = (µ2σv0/4π)σv0.« less
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Works referenced in this record:

Über die Beugung und Bremsung der Elektronen
journal, January 1931

Unitarity and higher-order corrections in neutralino dark matter annihilation into two photons
journal, April 2003

Explosive Dark Matter Annihilation
journal, January 2004

Nonperturbative effect on dark matter annihilation and gamma ray signature from the galactic center
journal, March 2005

Cosmology and astrophysics of minimal dark matter
journal, December 2007

A theory of dark matter
journal, January 2009

  • Arkani-Hamed, Nima; Finkbeiner, Douglas P.; Slatyer, Tracy R.
  • Physical Review D, Vol. 79, Issue 1
  • DOI: 10.1103/PhysRevD.79.015014

WIMPonium and boost factors for indirect dark matter detection
journal, June 2009

Resonance Effects in Nuclear Processes
journal, March 1937

Unitarity limits on the mass and radius of dark-matter particles
journal, February 1990

Proton–proton scattering lengths from effective field theory
journal, March 1999

Proton-proton fusion in leading order of effective field theory
journal, September 1999

Sommerfeld enhancements for thermal relic dark matter
journal, October 2010

WIMP dark matter through the dilaton portal
journal, March 2015

  • Blum, Kfir; Cliche, Mathieu; Csáki, Csaba
  • Journal of High Energy Physics, Vol. 2015, Issue 3
  • DOI: 10.1007/JHEP03(2015)099

Relic density and CMB constraints on dark matter annihilation with Sommerfeld enhancement
journal, April 2010

Sommerfeld factor for arbitrary partial wave processes
journal, August 2010

The Sommerfeld enhancement for dark matter with an excited state
journal, February 2010

Cosmology and Astrophysics of Minimal Dark Matter
text, January 2007

A Theory of Dark Matter
text, January 2008

WIMPonium and Boost Factors for Indirect Dark Matter Detection
text, January 2008

Unitarity and Higher-Order Corrections in Neutralino Dark Matter Annihilation into Two Photons
text, January 2002

Über die Beugung und Bremsung der Elektronen
journal, January 1931

Sommerfeld Enhancements for Thermal Relic Dark Matter
text, January 2010

Proton-Proton Fusion in Leading Order of Effective Field Theory
text, January 1999

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