Numerical study of the relativistic three-body quantization condition in the isotropic approximation

doi:10.1103/PhysRevD.98.014506

Title: Numerical study of the relativistic three-body quantization condition in the isotropic approximation

Authors:: Briceño, Raúl A.; Hansen, Maxwell T.; Sharpe, Stephen R.

Publication Date:: 2018-07-11

Research Org.:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Univ. of Washington, Seattle, WA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26); USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

OSTI Identifier:: 1459751

Alternate Identifier(s):: OSTI ID: 1460364; OSTI ID: 1595810

Report Number(s):: [JLAB-THY-18-2657; DOE/OR/23177-4359; arXiv:1803.04169; CERN-TH-2018-046]
[Journal ID: ISSN 2470-0010; PRVDAQ; 014506]

Grant/Contract Number:: [SC0011637; AC05-06OR23177]

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: [Journal Name: Physical Review D Journal Volume: 98 Journal Issue: 1]; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Briceño, Raúl A., Hansen, Maxwell T., and Sharpe, Stephen R. Numerical study of the relativistic three-body quantization condition in the isotropic approximation.  United States: N. p., 2018. 
        Web.  doi:10.1103/PhysRevD.98.014506.

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                    Briceño, Raúl A., Hansen, Maxwell T., & Sharpe, Stephen R. Numerical study of the relativistic three-body quantization condition in the isotropic approximation.  United States.  doi:10.1103/PhysRevD.98.014506.

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                    Briceño, Raúl A., Hansen, Maxwell T., and Sharpe, Stephen R. Wed .  
        "Numerical study of the relativistic three-body quantization condition in the isotropic approximation".  United States.  doi:10.1103/PhysRevD.98.014506.

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@article{osti_1459751,

  title        = {Numerical study of the relativistic three-body quantization condition in the isotropic approximation},

  author       = {Briceño, Raúl A. and Hansen, Maxwell T. and Sharpe, Stephen R.},

  abstractNote = {},

  doi          = {10.1103/PhysRevD.98.014506},

  journal      = {Physical Review D},

  number       = [1],

  volume       = [98],

  place        = {United States},

  year         = {2018},

  month        = {7}

}

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DOI: 10.1103/PhysRevD.98.014506

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Works referenced in this record:

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Three-body unitarity in the finite volume
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Threshold expansion of the three-particle quantization condition
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Title: Numerical study of the relativistic three-body quantization condition in the isotropic approximation

Citation Formats

Three-particle quantization condition in a finite volume: 1. The role of the three-particle force journal, September 2017

Spectrum of Three-Body Bound States in a Finite Volume journal, March 2015

Erratum: Threshold expansion of the three-particle quantization condition [Phys. Rev. D 93 , 096006 (2016)] journal, August 2017

Relating the finite-volume spectrum and the two-and-three-particle S matrix for relativistic systems of identical scalar particles journal, April 2017

Three-body unitarity in the finite volume journal, December 2017

Multiple-channel generalization of Lellouch-Lüscher formula journal, July 2012

n -boson energies at finite volume and three-boson interactions journal, October 2007

Moving multichannel systems in a finite volume with application to proton-proton fusion journal, November 2013

Resonances in Coupled π K − η K Scattering from Quantum Chromodynamics journal, October 2014

Timelike pion form factor in lattice QCD journal, March 2015

Efimov physics in a finite volume journal, March 2009

Scattering processes and resonances from lattice QCD journal, April 2018

Three-boson problem at low energy and implications for dilute Bose-Einstein condensates journal, July 2008

Perturbative results for two- and three-particle threshold energies in finite volume journal, January 2016

One spatial dimensional finite volume three-body interaction for a short-range potential journal, March 2017

Three-particle quantization condition in a finite volume: 2. General formalism and the analysis of data journal, October 2017

Elastic I = 3 / 2 p -wave nucleon-pion scattering amplitude and the Δ ( 1232 ) resonance from N f = 2 + 1 lattice QCD journal, January 2018

Applying the relativistic quantization condition to a three-particle bound state in a periodic box journal, February 2017

Resonance scattering phase shifts on a non-rest-frame lattice journal, September 1995

Are two nucleons bound in lattice QCD for heavy quark masses? Consistency check with Lüscher’s finite volume formula journal, August 2017

Two-particle states on a torus and their relation to the scattering matrix journal, May 1991

Relativistic, model-independent, three-particle quantization condition journal, December 2014

Three-body spectrum in a finite volume: The role of cubic symmetry journal, June 2018

Erratum: Spectrum of Three-Body Bound States in a Finite Volume [Phys. Rev. Lett. 114 , 091602 (2015)] journal, August 2016

Three particles in a finite volume journal, May 2012

A solvable three-body model in finite volume journal, November 2017

Three-particle scattering amplitudes from a finite volume formalism journal, May 2013

Threshold expansion of the three-particle quantization condition journal, May 2016

Three-body unitarity with isobars revisited journal, September 2017

π π → π γ * amplitude and the resonant ρ → π γ * transition from lattice QCD journal, June 2016

Finite-volume effects for two-hadron states in moving frames journal, October 2005

Two-particle multichannel systems in a finite volume with arbitrary spin journal, April 2014

Expressing the three-particle finite-volume spectrum in terms of the three-to-three scattering amplitude journal, December 2015

Multichannel 1 → 2 transition amplitudes in a finite volume journal, February 2015

Testing the threshold expansion for three-particle energies at fourth order in ϕ 4 theory journal, September 2017

Multichannel 0 → 2 and 1 → 2 transition amplitudes for arbitrary spin particles in a finite volume journal, October 2015

Volume dependence of the energy spectrum in massive quantum field theories: II. Scattering states journal, June 1986

Three particles in a finite volume: The breakdown of spherical symmetry journal, July 2012

Three-particle quantization condition in a finite volume: 1. The role of the three-particle force
journal, September 2017

Spectrum of Three-Body Bound States in a Finite Volume
journal, March 2015

Erratum: Threshold expansion of the three-particle quantization condition [Phys. Rev. D 93 , 096006 (2016)]
journal, August 2017

Relating the finite-volume spectrum and the two-and-three-particle $S$ matrix for relativistic systems of identical scalar particles
journal, April 2017

Three-body unitarity in the finite volume
journal, December 2017

Multiple-channel generalization of Lellouch-Lüscher formula
journal, July 2012

$n$ -boson energies at finite volume and three-boson interactions
journal, October 2007

Moving multichannel systems in a finite volume with application to proton-proton fusion
journal, November 2013

Resonances in Coupled $π K − η K$ Scattering from Quantum Chromodynamics
journal, October 2014

Timelike pion form factor in lattice QCD
journal, March 2015

Efimov physics in a finite volume
journal, March 2009

Scattering processes and resonances from lattice QCD
journal, April 2018

Three-boson problem at low energy and implications for dilute Bose-Einstein condensates
journal, July 2008

Perturbative results for two- and three-particle threshold energies in finite volume
journal, January 2016

One spatial dimensional finite volume three-body interaction for a short-range potential
journal, March 2017

Three-particle quantization condition in a finite volume: 2. General formalism and the analysis of data
journal, October 2017

Elastic $I = 3 / 2$ $p$ -wave nucleon-pion scattering amplitude and the $Δ (1232)$ resonance from $N_{f} = 2 + 1$ lattice QCD
journal, January 2018

Applying the relativistic quantization condition to a three-particle bound state in a periodic box
journal, February 2017

Resonance scattering phase shifts on a non-rest-frame lattice
journal, September 1995

Are two nucleons bound in lattice QCD for heavy quark masses? Consistency check with Lüscher’s finite volume formula
journal, August 2017

Two-particle states on a torus and their relation to the scattering matrix
journal, May 1991

Relativistic, model-independent, three-particle quantization condition
journal, December 2014

Three-body spectrum in a finite volume: The role of cubic symmetry
journal, June 2018

Erratum: Spectrum of Three-Body Bound States in a Finite Volume [Phys. Rev. Lett. 114 , 091602 (2015)]
journal, August 2016

Three particles in a finite volume
journal, May 2012

A solvable three-body model in finite volume
journal, November 2017

Three-particle scattering amplitudes from a finite volume formalism
journal, May 2013

Threshold expansion of the three-particle quantization condition
journal, May 2016

Three-body unitarity with isobars revisited
journal, September 2017

$π π \to π γ^{}$ amplitude and the resonant $ρ \to π γ^{}$ transition from lattice QCD
journal, June 2016

Finite-volume effects for two-hadron states in moving frames
journal, October 2005

Two-particle multichannel systems in a finite volume with arbitrary spin
journal, April 2014

Expressing the three-particle finite-volume spectrum in terms of the three-to-three scattering amplitude
journal, December 2015

Multichannel $1 \to 2$ transition amplitudes in a finite volume
journal, February 2015

Testing the threshold expansion for three-particle energies at fourth order in $ϕ^{4}$ theory
journal, September 2017

Multichannel $0 \to 2$ and $1 \to 2$ transition amplitudes for arbitrary spin particles in a finite volume
journal, October 2015

Volume dependence of the energy spectrum in massive quantum field theories: II. Scattering states
journal, June 1986

Three particles in a finite volume: The breakdown of spherical symmetry
journal, July 2012