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Title: Self-consistent calculation of the Sommerfeld enhancement

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] ;  [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:
Grant/Contract Number:
SC0013999; SC00012567
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)
Research Org:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Org:
USDOE
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
OSTI Identifier:
1436982

Blum, Kfir, Sato, Ryosuke, and Slatyer, Tracy R. Self-consistent calculation of the Sommerfeld enhancement. United States: N. p., 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. 2016. "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}
}