Selfconsistent calculation of the Sommerfeld enhancement
Abstract
A calculation of the Sommerfeld enhancement is presented and applied to the problem of swave nonrelativistic dark matter annihilation. The difference from previous computations in the literature is that the effect of the underlying shortrange scattering process is consistently included together with the longrange force in the effective QM Schrödinger problem. Our procedure satisfies partialwave unitarity where previous calculations fail. We provide analytic results for some potentials of phenomenological relevance.
 Authors:

 Weizmann Inst. of Science, Rehovot (Israel). Department of Particle Physics and Astrophysics
 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)
 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) (SC25)
 OSTI Identifier:
 1436982
 Report Number(s):
 MITCTP/4775
Journal ID: ISSN 14757516; DESC00012567; 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 14757516
 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. Selfconsistent calculation of the Sommerfeld enhancement. United States: N. p., 2016.
Web. doi:10.1088/14757516/2016/06/021.
Blum, Kfir, Sato, Ryosuke, & Slatyer, Tracy R. Selfconsistent calculation of the Sommerfeld enhancement. United States. doi:10.1088/14757516/2016/06/021.
Blum, Kfir, Sato, Ryosuke, and Slatyer, Tracy R. Wed .
"Selfconsistent calculation of the Sommerfeld enhancement". United States. doi:10.1088/14757516/2016/06/021. https://www.osti.gov/servlets/purl/1436982.
@article{osti_1436982,
title = {Selfconsistent 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 swave nonrelativistic dark matter annihilation. The difference from previous computations in the literature is that the effect of the underlying shortrange scattering process is consistently included together with the longrange force in the effective QM Schrödinger problem. Our procedure satisfies partialwave unitarity where previous calculations fail. We provide analytic results for some potentials of phenomenological relevance.},
doi = {10.1088/14757516/2016/06/021},
journal = {Journal of Cosmology and Astroparticle Physics},
number = 06,
volume = 2016,
place = {United States},
year = {2016},
month = {6}
}
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Figures / Tables:
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 »
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Works referencing / citing this record:
Rapid Bound State Formation of Dark Matter in the Early Universe
journal, April 2020
 Binder, Tobias; Mukaida, Kyohei; Petraki, Kalliopi
 Physical Review Letters, Vol. 124, Issue 16
Figures / Tables found in this record:
Figures/Tables have been extracted from DOEfunded journal article accepted manuscripts.