Lattice model of heavy-light three-body system
Abstract
We present a study of a $1+1$ dimensional heavy-light three-body system in finite volume. The heavy-light system is simulated by a coupled-channel $$\phi^4$$ type lattice model, and both ground state and excited states of multiparticle energy spectra are measured on various lattices. The lattice simulation data analysis is performed based on variational approach.
- Authors:
-
[1];
[2]
- California State Univ. (CalState), Bakersfield, CA (United States); Univ. of California, Santa Barbara, CA (United States). Kavli Inst. for Theoretical Physics
- George Washington Univ., Washington, DC (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Publication Date:
- Research Org.:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1598488
- Report Number(s):
- JLAB-THY-20-3147; DOE/OR/23177-4919
Journal ID: ISSN 2470-0010; PRVDAQ; TRN: US2103288
- Grant/Contract Number:
- NSF PHY-1748958; PHY-1452055; AC05-06OR23177
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Volume: 101; 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; Hadron-hadron interactions; Lattice field theory; Particle interactions; Scattering amplitudes
Citation Formats
Guo, Peng, and Döring, Michael. Lattice model of heavy-light three-body system. United States: N. p., 2020.
Web. doi:10.1103/PhysRevD.101.034501.
Guo, Peng, & Döring, Michael. Lattice model of heavy-light three-body system. United States. https://doi.org/10.1103/PhysRevD.101.034501
Guo, Peng, and Döring, Michael. Mon .
"Lattice model of heavy-light three-body system". United States. https://doi.org/10.1103/PhysRevD.101.034501. https://www.osti.gov/servlets/purl/1598488.
@article{osti_1598488,
title = {Lattice model of heavy-light three-body system},
author = {Guo, Peng and Döring, Michael},
abstractNote = {We present a study of a $1+1$ dimensional heavy-light three-body system in finite volume. The heavy-light system is simulated by a coupled-channel $\phi^4$ type lattice model, and both ground state and excited states of multiparticle energy spectra are measured on various lattices. The lattice simulation data analysis is performed based on variational approach.},
doi = {10.1103/PhysRevD.101.034501},
journal = {Physical Review D},
number = 3,
volume = 101,
place = {United States},
year = {Mon Feb 03 00:00:00 EST 2020},
month = {Mon Feb 03 00:00:00 EST 2020}
}
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Works referenced in this record:
Three-particle quantization condition in a finite volume: 1. The role of the three-particle force
journal, September 2017
- Hammer, Hans-Werner; Pang, Jin-Yi; Rusetsky, Akaki
- Journal of High Energy Physics, Vol. 2017, Issue 9, 23 p.
Spectrum of Three-Body Bound States in a Finite Volume
journal, March 2015
- Meißner, Ulf-G.; Ríos, Guillermo; Rusetsky, Akaki
- Physical Review Letters, Vol. 114, Issue 9
Coupled-channel scattering in dimensional lattice model
journal, July 2013
- Guo, Peng
- Physical Review D, Vol. 88, Issue 1
Hybrid Monte Carlo
journal, September 1987
- Duane, Simon; Kennedy, A. D.; Pendleton, Brian J.
- Physics Letters B, Vol. 195, Issue 2
Erratum: Threshold expansion of the three-particle quantization condition [Phys. Rev. D 93 , 096006 (2016)]
journal, August 2017
- Hansen, Maxwell T.; Sharpe, Stephen R.
- Physical Review D, Vol. 96, Issue 3
Finite-Volume Spectrum of and Systems
journal, February 2019
- Mai, M.; Döring, M.
- Physical Review Letters, Vol. 122, Issue 6
Coupled-channel scattering on a torus
journal, July 2013
- Guo, Peng; Dudek, Jozef J.; Edwards, Robert G.
- Physical Review D, Vol. 88, Issue 1
Relating the finite-volume spectrum and the two-and-three-particle matrix for relativistic systems of identical scalar particles
journal, April 2017
- Briceño, Raúl A.; Hansen, Maxwell T.; Sharpe, Stephen R.
- Physical Review D, Vol. 95, Issue 7
Multiple-channel generalization of Lellouch-Lüscher formula
journal, July 2012
- Hansen, Maxwell T.; Sharpe, Stephen R.
- Physical Review D, Vol. 86, Issue 1
A method to measure the antikaon–nucleon scattering length in lattice QCD
journal, November 2009
- Lage, Michael; Meißner, Ulf-G.; Rusetsky, Akaki
- Physics Letters B, Vol. 681, Issue 5
On the modification of the Efimov spectrum in a finite cubic box
journal, January 2010
- Kreuzer, S.; Hammer, H. -W.
- The European Physical Journal A, Vol. 43, Issue 2
Moving multichannel systems in a finite volume with application to proton-proton fusion
journal, November 2013
- Briceño, Raúl A.; Davoudi, Zohreh
- Physical Review D, Vol. 88, Issue 9
Three-particle quantization condition in a finite volume: 2. General formalism and the analysis of data
journal, October 2017
- Hammer, Hans-Werner; Pang, Jin-Yi; Rusetsky, Akaki
- Journal of High Energy Physics, Vol. 2017, Issue 10, 31 p.
One spatial dimensional finite volume three-body interaction for a short-range potential
journal, March 2017
- Guo, Peng
- Physical Review D, Vol. 95, Issue 5
Numerical exploration of three relativistic particles in a finite volume including two-particle resonances and bound states
journal, October 2019
- Romero-López, Fernando; Sharpe, Stephen R.; Blanton, Tyler D.
- Journal of High Energy Physics, Vol. 2019, Issue 10
Scattering amplitudes from finite-volume spectral functions
journal, August 2019
- Bulava, John; Hansen, Maxwell T.
- Physical Review D, Vol. 100, Issue 3
Resonance scattering phase shifts on a non-rest-frame lattice
journal, September 1995
- Rummukainen, K.; Gottlieb, Steven
- Nuclear Physics B, Vol. 450, Issue 1-2
Erratum: Testing the threshold expansion for three-particle energies at fourth order in theory [Phys. Rev. D 96 , 054515 (2017)]
journal, November 2018
- Sharpe, Stephen R.
- Physical Review D, Vol. 98, Issue 9
Relativistic, model-independent, three-particle quantization condition
journal, December 2014
- Hansen, Maxwell T.; Sharpe, Stephen R.
- Physical Review D, Vol. 90, Issue 11
Erratum: Spectrum of Three-Body Bound States in a Finite Volume [Phys. Rev. Lett. 114 , 091602 (2015)]
journal, August 2016
- Meißner, Ulf-G.; Ríos, Guillermo; Rusetsky, Akaki
- Physical Review Letters, Vol. 117, Issue 6
Three particles in a finite volume
journal, May 2012
- Polejaeva, K.; Rusetsky, A.
- The European Physical Journal A, Vol. 48, Issue 5
A solvable three-body model in finite volume
journal, November 2017
- Guo, Peng; Gasparian, Vladimir
- Physics Letters B, Vol. 774
Three-particle scattering amplitudes from a finite volume formalism
journal, May 2013
- Briceño, Raúl A.; Davoudi, Zohreh
- Physical Review D, Vol. 87, Issue 9
Equation of State Calculations by Fast Computing Machines
journal, June 1953
- Metropolis, Nicholas; Rosenbluth, Arianna W.; Rosenbluth, Marshall N.
- The Journal of Chemical Physics, Vol. 21, Issue 6
How to calculate the elastic scattering matrix in two-dimensional quantum field theories by numerical simulation
journal, July 1990
- Lüscher, Martin; Wolff, Ulli
- Nuclear Physics B, Vol. 339, Issue 1
Expressing the three-particle finite-volume spectrum in terms of the three-to-three scattering amplitude
journal, December 2015
- Hansen, Maxwell T.; Sharpe, Stephen R.
- Physical Review D, Vol. 92, Issue 11
Testing the threshold expansion for three-particle energies at fourth order in theory
journal, September 2017
- Sharpe, Stephen R.
- Physical Review D, Vol. 96, Issue 5
Three-body spectrum in a finite volume: the role of cubic symmetry
text, January 2018
- Döring, M.; Hammer, H. -W.; Mai, M.
- GSI Helmholtzzentrum fuer Schwerionenforschung, GSI, Darmstadt
Monte Carlo sampling methods using Markov chains and their applications
journal, April 1970
- Hastings, W. K.
- Biometrika, Vol. 57, Issue 1
Three particles in a finite volume: The breakdown of spherical symmetry
journal, July 2012
- Kreuzer, S.; Grießhammer, H. W.
- The European Physical Journal A, Vol. 48, Issue 7
Three-Pion Scattering Amplitude from Lattice QCD
journal, January 2020
- Blanton, Tyler D.; Romero-López, Fernando; Sharpe, Stephen R.
- Physical Review Letters, Vol. 124, Issue 3
A Relativistic Equation for Bound-State Problems
journal, December 1951
- Salpeter, E. E.; Bethe, H. A.
- Physical Review, Vol. 84, Issue 6
Inclusive semi-leptonic B meson decay structure functions from lattice QCD
journal, May 2017
- Hashimoto, Shoji
- Progress of Theoretical and Experimental Physics, Vol. 2017, Issue 5
Multipion states in lattice QCD and the charged-pion condensate
journal, July 2008
- Detmold, William; Savage, Martin J.; Torok, Aaron
- Physical Review D, Vol. 78, Issue 1
The optical potential on the lattice
journal, June 2016
- Agadjanov, Dimitri; Döring, Michael; Mai, Maxim
- Journal of High Energy Physics, Vol. 2016, Issue 6
Two particle states and the S -matrix elements in multi-channel scattering
journal, July 2005
- He, Song; Feng, Xu; Liu, Chuan
- Journal of High Energy Physics, Vol. 2005, Issue 07
Three-body unitarity in the finite volume
journal, December 2017
- Mai, M.; Döring, M.
- The European Physical Journal A, Vol. 53, Issue 12
Multiple-particle interaction in ( )-dimensional lattice model
journal, January 2019
- Guo, Peng; Morris, Tyler
- Physical Review D, Vol. 99, Issue 1
Variational approach to -body interactions in finite volume
journal, November 2018
- Guo, Peng; Döring, Michael; Szczepaniak, Adam P.
- Physical Review D, Vol. 98, Issue 9
Efimov physics in a finite volume
journal, March 2009
- Kreuzer, Simon; Hammer, H. -W.
- Physics Letters B, Vol. 673, Issue 4-5
Finite volume corrections to the two-particle decay of states with nonzero momentum
journal, December 2005
- Christ, Norman H.; Kim, Changhoan; Yamazaki, Takeshi
- Physical Review D, Vol. 72, Issue 11
Numerical approach for finite volume three-body interaction
journal, January 2018
- Guo, Peng; Gasparian, Vladimir
- Physical Review D, Vol. 97, Issue 1
Extraction of hadron interactions above inelastic threshold in lattice QCD
journal, January 2011
- Aoki, Sinya; Ishii, Noriyoshi; Doi, Takumi
- Proceedings of the Japan Academy, Series B, Vol. 87, Issue 8
On the generalized eigenvalue method for energies and matrix elements in lattice field theory
journal, April 2009
- collaboration, Alpha; Blossier, Benoit; Morte, Michele Della
- Journal of High Energy Physics, Vol. 2009, Issue 04
Two- and Three-Pion Finite-Volume Spectra at Maximal Isospin from Lattice QCD
journal, October 2019
- Hörz, Ben; Hanlon, Andrew
- Physical Review Letters, Vol. 123, Issue 14
Two- and three-body interactions in $$\varphi ^4$$ φ 4 theory from lattice simulations
journal, October 2018
- Romero-López, F.; Rusetsky, A.; Urbach, C.
- The European Physical Journal C, Vol. 78, Issue 10
Implementing the three-particle quantization condition including higher partial waves
journal, March 2019
- Blanton, Tyler D.; Romero-López, Fernando; Sharpe, Stephen R.
- Journal of High Energy Physics, Vol. 2019, Issue 3
Dynamical coupled-channel approaches on a momentum lattice
journal, December 2011
- Döring, M.; Haidenbauer, J.; Meißner, U. -G.
- The European Physical Journal A, Vol. 47, Issue 12
Two-particle states on a torus and their relation to the scattering matrix
journal, May 1991
- Lüscher, Martin
- Nuclear Physics B, Vol. 354, Issue 2-3
Three-body spectrum in a finite volume: The role of cubic symmetry
journal, June 2018
- Döring, M.; Hammer, H. -W.; Mai, M.
- Physical Review D, Vol. 97, Issue 11
Three particles in a finite volume
conference, October 2012
- Polejaeva, Kathryn; Rusetsky, Akaki
- Proceedings of Sixth International Conference on Quarks and Nuclear Physics — PoS(QNP2012)
Threshold expansion of the three-particle quantization condition
journal, May 2016
- Hansen, Maxwell T.; Sharpe, Stephen R.
- Physical Review D, Vol. 93, Issue 9
The theory of hybrid stochastic algorithms
journal, November 1986
- Duane, S.; Kogut, J. B.
- Nuclear Physics B, Vol. 275, Issue 3
From deep inelastic scattering to heavy-flavor semileptonic decays: Total rates into multihadron final states from lattice QCD
journal, November 2017
- Hansen, Maxwell T.; Meyer, Harvey B.; Robaina, Daniel
- Physical Review D, Vol. 96, Issue 9
Resonance scattering phase shifts in a 2d lattice model
journal, February 1993
- Gattringer, C. R.; Lang, C. B.
- Nuclear Physics B, Vol. 391, Issue 1-2
Die Berechnung optischer und elektrostatischer Gitterpotentiale
journal, January 1921
- Ewald, P. P.
- Annalen der Physik, Vol. 369, Issue 3
Unitarized Chiral Perturbation Theory in a finite volume: Scalar meson sector
journal, November 2011
- Döring, M.; Meißner, U. -G.; Oset, E.
- The European Physical Journal A, Vol. 47, Issue 11
Multipion Systems in Lattice QCD and the Three-Pion Interaction
journal, February 2008
- Beane, Silas R.; Detmold, William; Luu, Thomas C.
- Physical Review Letters, Vol. 100, Issue 8
Multiple-channel generalization of Lellouch-Lüscher formula
conference, December 2012
- Hansen, Maxwell; Sharpe, Stephen R.
- Proceedings of The 30th International Symposium on Lattice Field Theory — PoS(Lattice 2012)
Multi-Pion States in Lattice QCD and the Charged-Pion Condensate
text, January 2008
- Detmold, William; Savage, Martin J.; Torok, Aaron
- arXiv
On the generalized eigenvalue method for energies and matrix elements in lattice field theory
text, January 2009
- Blossier, Benoit; Della Morte, Michele; von Hippel, Georg
- arXiv
On the modification of the Efimov spectrum in a finite cubic box
text, January 2009
- Kreuzer, Simon; Hammer, H. -W.
- arXiv
Extraction of Hadron Interactions above Inelastic Threshold in Lattice QCD
text, January 2011
- Aoki, Sinya; Ishii, Noriyoshi; Doi, Takumi
- arXiv
Three particles in a finite volume: The breakdown of spherical symmetry
text, January 2012
- Kreuzer, Simon; Grießhammer, Harald W.
- arXiv
A relativistic, model-independent, three-particle quantization condition
text, January 2014
- Hansen, Maxwell T.; Sharpe, Stephen R.
- arXiv
Expressing the three-particle finite-volume spectrum in terms of the three-to-three scattering amplitude
text, January 2015
- Hansen, Maxwell T.; Sharpe, Stephen R.
- arXiv
Relating the finite-volume spectrum and the two-and-three-particle $S$ matrix for relativistic systems of identical scalar particles
text, January 2017
- Briceño, Raúl A.; Hansen, Maxwell T.; Sharpe, Stephen R.
- arXiv
Inclusive semi-leptonic B meson decay structure functions from lattice QCD
text, January 2017
- Hashimoto, Shoji
- arXiv
Three-particle quantization condition in a finite volume: 1. The role of the three-particle force
text, January 2017
- Hammer, H. -W.; Pang, J. -Y.; Rusetsky, A.
- arXiv
Three particle quantization condition in a finite volume: 2. general formalism and the analysis of data
text, January 2017
- Hammer, H. -W.; Pang, J. -Y.; Rusetsky, A.
- arXiv
Three-body spectrum in a finite volume: the role of cubic symmetry
text, January 2018
- Döring, M.; Hammer, H. -W.; Mai, M.
- arXiv
Variational approach to $N$-body interactions in finite volume
text, January 2018
- Guo, Peng; Döring, Michael; Szczepaniak, Adam P.
- arXiv
Scattering amplitudes from finite-volume spectral functions
text, January 2019
- Bulava, John; Hansen, Maxwell T.
- arXiv
Finite Volume Corrections to the Two-Particle Decay of States with Non-Zero Momentum
text, January 2005
- Christ, Norman H.; Kim, Changhoan; Yamazaki, Takeshi
- arXiv
Resonance Scattering Phase Shifts on a Non-Rest Frame Lattice
text, January 1995
- Rummukainen, K.; Gottlieb, Steven
- arXiv