Applying the relativistic quantization condition to a three-particle bound state in a periodic box
Abstract
Using our recently developed relativistic three-particle quantization condition, we study the finite-volume energy shift of a spin-zero three-particle bound state. Furthermore, we reproduce the result obtained using non-relativistic quantum mechanics by Meissner, Rios and Rusetsky, and generalize the finding to a moving frame.
- Authors:
-
- Johannes Gutenberg Univ., Mainz (Germany)
- Univ. of Washington, Seattle, WA (United States)
- Publication Date:
- Research Org.:
- Univ. of Washington, Seattle, WA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- OSTI Identifier:
- 1595806
- Alternate Identifier(s):
- OSTI ID: 1342614
- Grant/Contract Number:
- SC0011637
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Volume: 95; Journal Issue: 3; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; finite volume; lattice QCD
Citation Formats
Hansen, Maxwell T., and Sharpe, Stephen R. Applying the relativistic quantization condition to a three-particle bound state in a periodic box. United States: N. p., 2017.
Web. doi:10.1103/PhysRevD.95.034501.
Hansen, Maxwell T., & Sharpe, Stephen R. Applying the relativistic quantization condition to a three-particle bound state in a periodic box. United States. https://doi.org/10.1103/PhysRevD.95.034501
Hansen, Maxwell T., and Sharpe, Stephen R. Fri .
"Applying the relativistic quantization condition to a three-particle bound state in a periodic box". United States. https://doi.org/10.1103/PhysRevD.95.034501. https://www.osti.gov/servlets/purl/1595806.
@article{osti_1595806,
title = {Applying the relativistic quantization condition to a three-particle bound state in a periodic box},
author = {Hansen, Maxwell T. and Sharpe, Stephen R.},
abstractNote = {Using our recently developed relativistic three-particle quantization condition, we study the finite-volume energy shift of a spin-zero three-particle bound state. Furthermore, we reproduce the result obtained using non-relativistic quantum mechanics by Meissner, Rios and Rusetsky, and generalize the finding to a moving frame.},
doi = {10.1103/PhysRevD.95.034501},
journal = {Physical Review D},
number = 3,
volume = 95,
place = {United States},
year = {Fri Feb 03 00:00:00 EST 2017},
month = {Fri Feb 03 00:00:00 EST 2017}
}
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Two- and three-body interactions in $$\varphi ^4$$ φ 4 theory from lattice simulations
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Phenomenology of relativistic $$\mathbf {3}\rightarrow \mathbf {3}$$ 3 → 3 reaction amplitudes within the isobar approximation
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