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Title: Yukawa bound states of a large number of fermions

Abstract

Here, we consider the bound state problem for a field theory that contains a Dirac fermion χ that Yukawa couples to a (light) scalar field Φ. We are interested in bound states with a large number N of χ 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 χ’s are suppressed two regimes emerge. For modest values of N the state is composed of non-relativistic χ 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 χ mass, there is a minimum sized state that occurs roughly at the value of N where the core region first becomes relativistic. We also compute an elastic scattering form factor that can be relevant for direct detection if the dark matter is composed of such χ particles.

Authors:
 [1];  [1]
  1. California Inst. of Technology, Pasadena, CA (United States). Walter Burke Inst. for Theoretical Physics
Publication Date:
Research Org.:
California Inst. of Technology, Pasadena, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1455179
Grant/Contract Number:  
SC0011632; SC0010255
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2015; Journal Issue: 2; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 79 ASTRONOMY AND ASTROPHYSICS; Beyond Standard Model; Cosmology of Theories beyond the SM; Statistical Methods

Citation Formats

Wise, Mark B., and Zhang, Yue. Yukawa bound states of a large number of fermions. United States: N. p., 2015. Web. doi:10.1007/JHEP02(2015)023.
Wise, Mark B., & Zhang, Yue. Yukawa bound states of a large number of fermions. United States. doi:10.1007/JHEP02(2015)023.
Wise, Mark B., and Zhang, Yue. Tue . "Yukawa bound states of a large number of fermions". United States. doi:10.1007/JHEP02(2015)023. https://www.osti.gov/servlets/purl/1455179.
@article{osti_1455179,
title = {Yukawa bound states of a large number of fermions},
author = {Wise, Mark B. and Zhang, Yue},
abstractNote = {Here, we consider the bound state problem for a field theory that contains a Dirac fermion χ that Yukawa couples to a (light) scalar field Φ. We are interested in bound states with a large number N of χ 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 χ’s are suppressed two regimes emerge. For modest values of N the state is composed of non-relativistic χ 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 χ mass, there is a minimum sized state that occurs roughly at the value of N where the core region first becomes relativistic. We also compute an elastic scattering form factor that can be relevant for direct detection if the dark matter is composed of such χ particles.},
doi = {10.1007/JHEP02(2015)023},
journal = {Journal of High Energy Physics (Online)},
number = 2,
volume = 2015,
place = {United States},
year = {2015},
month = {2}
}

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