skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Dynamically-coupled partial-waves in ρπ isospin-2 scattering from lattice QCD

Abstract

We present the first determination of ρπ scattering, incorporating dynamically-coupled partial-waves, using lattice QCD, a first-principles numerical approach to QCD. Considering the case of isospin-2 ρπ, we calculate partial-wave amplitudes with J ≤ 3 and determine the degree of dynamical mixing between the coupled S and D-wave channels with JP = 1+. The analysis makes use of the relationship between scattering amplitudes and the discrete spectrum of states in the finite volume lattice. Constraints on the scattering amplitudes are provided by over one hundred energy levels computed on two lattice volumes at various overall momenta and in several irreducible representations of the relevant symmetry groups. The spectra follow from variational analyses of matrices of correlations functions computed with large bases of meson-meson operators. Calculations are performed with degenerate light and strange quarks tuned to the physical strange quark mass so that mπ ~700 MeV, ensuring that the ρ is stable against strong decay. Furthermore, this work demonstrates the successful application of techniques, opening the door to calculations of scattering processes that incorporate the effects of dynamically-coupled partial-waves, including those involving resonances or bound states.

Authors:
 [1];  [1]; ORCiD logo [2]; ORCiD logo [3];  [4]
  1. Univ. of Cambridge, Cambridge (United Kingdom)
  2. College of William and Mary, Williamsburg, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
  3. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
  4. Trinity College, Dublin (Ireland)
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP)
Contributing Org.:
for the Hadron Spectrum collaboration
OSTI Identifier:
1462038
Report Number(s):
JLAB-THY-18-2643; DOE/OR/23177-4345; arXiv:1802.05580; DAMTP-2018-6
Journal ID: ISSN 1029-8479; PII: 8577; TRN: US1902093
Grant/Contract Number:  
AC05-06OR23177
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: 2018; Journal Issue: 7; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Lattice field theory simulation; QCD Phenomenology

Citation Formats

Woss, Antoni J., Thomas, Christopher E., Dudek, Jozef J., Edwards, Robert G., and Wilson, David J. Dynamically-coupled partial-waves in ρπ isospin-2 scattering from lattice QCD. United States: N. p., 2018. Web. doi:10.1007/JHEP07(2018)043.
Woss, Antoni J., Thomas, Christopher E., Dudek, Jozef J., Edwards, Robert G., & Wilson, David J. Dynamically-coupled partial-waves in ρπ isospin-2 scattering from lattice QCD. United States. doi:https://doi.org/10.1007/JHEP07(2018)043
Woss, Antoni J., Thomas, Christopher E., Dudek, Jozef J., Edwards, Robert G., and Wilson, David J. Fri . "Dynamically-coupled partial-waves in ρπ isospin-2 scattering from lattice QCD". United States. doi:https://doi.org/10.1007/JHEP07(2018)043. https://www.osti.gov/servlets/purl/1462038.
@article{osti_1462038,
title = {Dynamically-coupled partial-waves in ρπ isospin-2 scattering from lattice QCD},
author = {Woss, Antoni J. and Thomas, Christopher E. and Dudek, Jozef J. and Edwards, Robert G. and Wilson, David J.},
abstractNote = {We present the first determination of ρπ scattering, incorporating dynamically-coupled partial-waves, using lattice QCD, a first-principles numerical approach to QCD. Considering the case of isospin-2 ρπ, we calculate partial-wave amplitudes with J ≤ 3 and determine the degree of dynamical mixing between the coupled S and D-wave channels with JP = 1+. The analysis makes use of the relationship between scattering amplitudes and the discrete spectrum of states in the finite volume lattice. Constraints on the scattering amplitudes are provided by over one hundred energy levels computed on two lattice volumes at various overall momenta and in several irreducible representations of the relevant symmetry groups. The spectra follow from variational analyses of matrices of correlations functions computed with large bases of meson-meson operators. Calculations are performed with degenerate light and strange quarks tuned to the physical strange quark mass so that mπ ~700 MeV, ensuring that the ρ is stable against strong decay. Furthermore, this work demonstrates the successful application of techniques, opening the door to calculations of scattering processes that incorporate the effects of dynamically-coupled partial-waves, including those involving resonances or bound states.},
doi = {10.1007/JHEP07(2018)043},
journal = {Journal of High Energy Physics (Online)},
number = 7,
volume = 2018,
place = {United States},
year = {2018},
month = {7}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 5 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Scalar mesons in a finite volume
journal, January 2011

  • Bernard, V.; Lage, M.; Meißner, U. -G.
  • Journal of High Energy Physics, Vol. 2011, Issue 1
  • DOI: 10.1007/JHEP01(2011)019

Aharonov–Bohm effect and nucleon–nucleon phase shifts on the lattice
journal, July 2004


Meson-meson scattering in the quark model: Spin dependence and exotic channels
journal, January 2001


Volume dependence of the energy spectrum in massive quantum field theories: I. Stable particle states
journal, June 1986

  • Lüscher, M.
  • Communications in Mathematical Physics, Vol. 104, Issue 2
  • DOI: 10.1007/BF01211589

Coupled-channel Dπ, Dη and D s K ¯ $$ {D}_s\overline{K} $$ scattering from lattice QCD
journal, October 2016

  • Moir, Graham; Peardon, Michael; Ryan, Sinéad M.
  • Journal of High Energy Physics, Vol. 2016, Issue 10
  • DOI: 10.1007/JHEP10(2016)011

Angular momentum on the lattice: The case of nonzero linear momentum
journal, January 2006


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


Solving lattice QCD systems of equations using mixed precision solvers on GPUs
journal, September 2010


Angular momentum on a lattice
journal, July 1982


Two particle states in an asymmetric box and the elastic scattering phases
journal, July 2004


A method to measure the antikaon–nucleon scattering length in lattice QCD
journal, November 2009


Isoscalar π π Scattering and the σ Meson Resonance from QCD
journal, January 2017


Finite volume corrections to the two-particle decay of states with nonzero momentum
journal, December 2005


Scattering processes and resonances from lattice QCD
journal, April 2018


Theory of the Low-Energy Pion-Pion Interaction
journal, July 1960


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.
  • DOI: 10.1007/JHEP10(2017)115

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


Signatures of unstable particles in finite volume
journal, October 1991


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


Utilising optimised operators and distillation to extract scattering phase shifts
conference, March 2017

  • Woss, Antoni; Thomas, Christopher
  • Proceedings of 34th annual International Symposium on Lattice Field Theory — PoS(LATTICE2016)
  • DOI: 10.22323/1.256.0134

Three particles in a finite volume
journal, May 2012


Adjoint sources in lattice gauge theory
journal, September 1985


Phase-Shift Analysis of 310-Mev Proton-Proton Scattering Experiments
journal, January 1957


Multiparticle states and the hadron spectrum on the lattice
journal, September 2006


Two-nucleon systems in a finite volume. II. S 1 3 D 1 3 coupled channels and the deuteron
journal, December 2013


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


Axial resonances a 1(1260), b 1(1235) and their decays from the lattice
journal, April 2014

  • Lang, C. B.; Leskovec, Luka; Mohler, Daniel
  • Journal of High Energy Physics, Vol. 2014, Issue 4
  • DOI: 10.1007/JHEP04(2014)162

Lattice operators for scattering of particles with spin
journal, January 2017

  • Prelovsek, S.; Skerbis, U.; Lang, C. B.
  • Journal of High Energy Physics, Vol. 2017, Issue 1
  • DOI: 10.1007/JHEP01(2017)129

How to calculate the elastic scattering matrix in two-dimensional quantum field theories by numerical simulation
journal, July 1990


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

  • Lüscher, M.
  • Communications in Mathematical Physics, Vol. 105, Issue 2
  • DOI: 10.1007/BF01211097

The Octet Model and its Clebsch-Gordan Coefficients
journal, October 1963


The Chroma Software System for Lattice QCD
journal, March 2005


Parallelizing the QUDA Library for Multi-GPU Calculations in Lattice Quantum Chromodynamics
conference, November 2010

  • Babich, Ronald; Clark, Michael A.; Joó, Balint
  • 2010 SC - International Conference for High Performance Computing, Networking, Storage and Analysis, 2010 ACM/IEEE International Conference for High Performance Computing, Networking, Storage and Analysis
  • DOI: 10.1109/SC.2010.40

    Works referencing / citing this record:

    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
    • DOI: 10.1007/jhep03(2019)106

    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
    • DOI: 10.1007/jhep10(2019)007

    Scattering phase shifts and mixing angles for an arbitrary number of coupled channels on the lattice
    journal, December 2019


    Scattering amplitudes from finite-volume spectral functions
    journal, August 2019


    b 1 resonance in coupled π ω , π ϕ scattering from lattice QCD
    journal, September 2019


    Unitarity of the infinite-volume three-particle scattering amplitude arising from a finite-volume formalism
    journal, September 2019


    Consistency checks for two-body finite-volume matrix elements: Conserved currents and bound states
    journal, December 2019


    Long-range electroweak amplitudes of single hadrons from Euclidean finite-volume correlation functions
    journal, January 2020


    Three-body unitarity versus finite-volume π + π + π + spectrum from lattice QCD
    journal, March 2020


    Variational approach to N -body interactions in finite volume
    journal, November 2018


    Three-particle systems with resonant subprocesses in a finite volume
    journal, January 2019


    Finite-Volume Spectrum of π + π + and π + π + π + Systems
    journal, February 2019


    Quark-Mass Dependence of Elastic π K Scattering from QCD
    journal, July 2019


    I = 3 Three-Pion Scattering Amplitude from Lattice QCD
    journal, January 2020


    Hadrons and nuclei
    journal, November 2019

    • Detmold, William; Edwards, Robert G.; Dudek, Jozef J.
    • The European Physical Journal A, Vol. 55, Issue 11
    • DOI: 10.1140/epja/i2019-12902-4

    Phenomenology of relativistic $$\mathbf {3}\rightarrow \mathbf {3}$$ 3 → 3 reaction amplitudes within the isobar approximation
    journal, January 2019