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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]
  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) (SC-25)
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.
Blum, Kfir, Sato, Ryosuke, & Slatyer, Tracy R. Self-consistent calculation of the Sommerfeld enhancement. United States. doi:10.1088/1475-7516/2016/06/021.
Blum, Kfir, Sato, Ryosuke, and Slatyer, Tracy R. Wed . "Self-consistent calculation of the Sommerfeld enhancement". United States. doi:10.1088/1475-7516/2016/06/021. https://www.osti.gov/servlets/purl/1436982.
@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 = {2016},
month = {6}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

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Cited by: 35 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 referencing / citing this record:

    Rapid Bound State Formation of Dark Matter in the Early Universe
    journal, April 2020


      Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.