Power counting for three-body decays of a near-threshold state Article Swipe
M. Alhakami
,
Michael C. Birse
·
YOU?
·
· 2015
· Open Access
·
· DOI: https://doi.org/10.1103/physrevd.91.054019
YOU?
·
· 2015
· Open Access
·
· DOI: https://doi.org/10.1103/physrevd.91.054019
We propose a new power counting for the effective field theory describing a near-threshold state with unstable constituents, such as the X(3872) meson. In this counting, the momenta of the heavy particles, the pion mass and the excitation energy of the unstable constituent -- the D* in the case of the X -- are treated as small scales, of order Q. The difference, delta, between the excitation energy of the D* and the pion mass is smaller than either by a factor ~20. We therefore assign delta an order Q^2 in our counting. This provides a consistent framework for a double expansion in both delta/m_pi and the ratio of m_pi to the high-energy scales in this system. It ensures that amplitudes have the correct behaviour at the three-body threshold. It allows us to derive, within an effective theory, various results which have previously been obtained using physically-motivated approximations.
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- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1103/physrevd.91.054019
- OA Status
- green
- Cited By
- 12
- References
- 21
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W2032132486
All OpenAlex metadata
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https://openalex.org/W2032132486Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1103/physrevd.91.054019Digital Object Identifier
- Title
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Power counting for three-body decays of a near-threshold stateWork title
- Type
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articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2015Year of publication
- Publication date
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2015-03-13Full publication date if available
- Authors
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M. Alhakami, Michael C. BirseList of authors in order
- Landing page
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https://doi.org/10.1103/physrevd.91.054019Publisher landing page
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
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https://arxiv.org/pdf/1501.06750Direct OA link when available
- Concepts
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Physics, Pion, Excitation, Order (exchange), Effective field theory, Amplitude, Energy (signal processing), Meson, State (computer science), Particle physics, Field theory (psychology), Quantum mechanics, Mathematical physics, Mathematics, Algorithm, Economics, FinanceTop concepts (fields/topics) attached by OpenAlex
- Cited by
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12Total citation count in OpenAlex
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2023: 3, 2021: 1, 2020: 2, 2018: 1, 2017: 1Per-year citation counts (last 5 years)
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21Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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