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Yukawa Bound States of a Large Number of Fermions

Wise, Mark B. and Zhang, Yue (2015) Yukawa Bound States of a Large Number of Fermions. Journal of High Energy Physics, 2015 (2). Art. No. 023. ISSN 1126-6708. http://resolver.caltech.edu/CaltechAUTHORS:20141116-071612082

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Abstract

We consider the bound state problem for a field theory that contains a Dirac fermion x that Yukawa couples to a (light) scalar field ø. We are interested in bound states with a large number N of x particles. A Fermi gas model is used to numerically determine the dependence of the radius R of these bound states on N and also the dependence of the binding energy on N. Since scalar interactions with relativistic x's are suppressed two regimes emerge. For modest values of N the state is composed of non-relativistic x particles. In this regime as N increases R decreases. Eventually the core region becomes relativistic and the size of the state starts to increase as N increases. As a result, for fixed Yukawa coupling and x mass, there is a minimum sized state that occurs roughly at the value of N where the core region first becomes relativistic. As an application to dark matter, our analysis offers the possibility of having a supermassive thermal DM candidate. We also compute an elastic scattering form factor that can be relevant for direct detection if the dark matter is composed of such x particles.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1007/JHEP02(2015)023DOIArticle
http://link.springer.com/article/10.1007%2FJHEP02%282015%29023PublisherArticle
http://arxiv.org/abs/1411.1772arXivDiscussion Paper
http://dx.doi.org/10.1007/JHEP10(2015)165DOIErratum
Additional Information:© 2015 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: November 26, 2014; Accepted: January 15, 2015; Published: February 3, 2015. This work started from discussions with Natalia Toro who pointed out the suppression at high energies of Yukawa couplings and the form of the effective classical particle theory in Eq.(3). We are grateful to her for these key insights. This work is supported by the Gordon and Betty Moore Foundation through Grant No. 776 to the Caltech Moore Center for Theoretical Cosmology and Physics, and by the DOE Grant DE-SC0011632, and also by a DOE Early Career Award under Grant No. DE-SC0010255. We are also grateful for the support provided by the Walter Burke Institute for Theoretical Physics.
Group:Walter Burke Institute for Theoretical Physics, Moore Center for Theoretical Cosmology and Physics
Funders:
Funding AgencyGrant Number
Gordon and Betty Moore Foundation776
Department of Energy (DOE)DE-SC0011632
Department of Energy (DOE)DE-SC0010255
Walter Burke Institute for Theoretical PhysicsUNSPECIFIED
SCOAP3UNSPECIFIED
Subject Keywords:High Energy Physics - Phenomenology (hep-ph); Cosmology and Nongalactic Astrophysics (astro-ph.CO); High Energy Astrophysical Phenomena (astro-ph.HE)
Other Numbering System:
Other Numbering System NameOther Numbering System ID
CALT-TH2014-160
Record Number:CaltechAUTHORS:20141116-071612082
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20141116-071612082
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:51812
Collection:CaltechAUTHORS
Deposited By: Joy Painter
Deposited On:17 Nov 2014 19:03
Last Modified:16 Jun 2017 16:17

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