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Title: Excited meson radiative transitions from lattice QCD using variationally optimized operators

Abstract

We explore the use of 'optimized' operators, designed to interpolate only a single meson eigenstate, in three-point correlation functions with a vector-current insertion. These operators are constructed as linear combinations in a large basis of meson interpolating fields using a variational analysis of matrices of two-point correlation functions. After performing such a determination at both zero and non-zero momentum, we compute three-point functions and are able to study radiative transition matrix elements featuring excited state mesons. The required two- and three-point correlation functions are efficiently computed using the distillation framework in which there is a factorization between quark propagation and operator construction, allowing for a large number of meson operators of definite momentum to be considered. We illustrate the method with a calculation using anisotopic lattices having three flavors of dynamical quark all tuned to the physical strange quark mass, considering form-factors and transitions of pseudoscalar and vector meson excitations. In conclusion, the dependence on photon virtuality for a number of form-factors and transitions is extracted and some discussion of excited-state phenomenology is presented.

Authors:
 [1];  [2];  [3]
  1. Old Dominion Univ., Norfolk, VA (United States)
  2. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Old Dominion Univ., Norfolk, VA (United States)
  3. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
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) (SC-26)
Contributing Org.:
Hadron Spectrum Collaboration
OSTI Identifier:
1183702
Report Number(s):
JLAB-THY-15-2004; DOE/OR/23177-3283; arXiv:1501.07457
Journal ID: ISSN 1550-7998; PRVDAQ
DOE Contract Number:  
AC05-06OR23177; SC0006765
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles, Fields, Gravitation and Cosmology
Additional Journal Information:
Journal Volume: 91; Journal Issue: 11; Journal ID: ISSN 1550-7998
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English

Citation Formats

Shultz, Christian J., Dudek, Jozef J., and Edwards, Robert G. Excited meson radiative transitions from lattice QCD using variationally optimized operators. United States: N. p., 2015. Web. doi:10.1103/PhysRevD.91.114501.
Shultz, Christian J., Dudek, Jozef J., & Edwards, Robert G. Excited meson radiative transitions from lattice QCD using variationally optimized operators. United States. doi:10.1103/PhysRevD.91.114501.
Shultz, Christian J., Dudek, Jozef J., and Edwards, Robert G. Tue . "Excited meson radiative transitions from lattice QCD using variationally optimized operators". United States. doi:10.1103/PhysRevD.91.114501. https://www.osti.gov/servlets/purl/1183702.
@article{osti_1183702,
title = {Excited meson radiative transitions from lattice QCD using variationally optimized operators},
author = {Shultz, Christian J. and Dudek, Jozef J. and Edwards, Robert G.},
abstractNote = {We explore the use of 'optimized' operators, designed to interpolate only a single meson eigenstate, in three-point correlation functions with a vector-current insertion. These operators are constructed as linear combinations in a large basis of meson interpolating fields using a variational analysis of matrices of two-point correlation functions. After performing such a determination at both zero and non-zero momentum, we compute three-point functions and are able to study radiative transition matrix elements featuring excited state mesons. The required two- and three-point correlation functions are efficiently computed using the distillation framework in which there is a factorization between quark propagation and operator construction, allowing for a large number of meson operators of definite momentum to be considered. We illustrate the method with a calculation using anisotopic lattices having three flavors of dynamical quark all tuned to the physical strange quark mass, considering form-factors and transitions of pseudoscalar and vector meson excitations. In conclusion, the dependence on photon virtuality for a number of form-factors and transitions is extracted and some discussion of excited-state phenomenology is presented.},
doi = {10.1103/PhysRevD.91.114501},
journal = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},
issn = {1550-7998},
number = 11,
volume = 91,
place = {United States},
year = {2015},
month = {6}
}

Works referenced in this record:

Physics opportunities with the 12 GeV upgrade at Jefferson Lab
journal, December 2012


Model of mesons with constituent gluons
journal, February 1978


QG hybrid mesons in the MIT bag model
journal, September 1983


Hybrids: Mixed states of quarks and gluons
journal, August 1983


Gluonic excitations of mesons: Why they are missing and where to find them
journal, March 1985


The lightest hybrid meson supermultiplet in QCD
journal, October 2011


Measurement of radiative widths of a2(1320) and $ \pi_{2}$ (1670)
journal, April 2014


Review of Particle Physics
journal, July 2012


Study of χ c J radiative decays into a vector meson
journal, June 2011


Higher-order multipole amplitude measurement in ψ γ χ c 2
journal, November 2011


First Observation of the M 1 Transition ψ ( 3686 ) γ η c ( 2 S )
journal, July 2012


Partial wave analysis of J / ψ γ η η
journal, May 2013


Studies of Nucleon Resonance Structure in Exclusive Meson Electroproduction
journal, June 2013

  • Aznauryan, I. G.; Bashir, A.; Braun, V. M.
  • International Journal of Modern Physics E, Vol. 22, Issue 06
  • DOI: 10.1142/S0218301313300154

Axial nucleon form factors from lattice QCD
journal, February 2011


Nucleon axial charge and pion decay constant from two-flavor lattice QCD
journal, May 2014


Nucleon Axial Charge in Full Lattice QCD
journal, February 2006


The moment x u d of the nucleon from N f = 2 lattice QCD down to nearly physical quark masses
journal, October 2014


Precision study of excited state effects in nucleon matrix elements
journal, October 2011


Nucleon electromagnetic form factors from lattice QCD using a nearly physical pion mass
journal, October 2014


Exotic and excited-state radiative transitions in charmonium from lattice QCD
journal, May 2009


Novel quark-field creation operator construction for hadronic physics in lattice QCD
journal, September 2009


Highly Excited and Exotic Meson Spectrum from Dynamical Lattice QCD
journal, December 2009


Toward the excited meson spectrum of dynamical QCD
journal, August 2010


Elastic electron-deuteron scattering at high energy
journal, April 1980


Radiative transitions in charmonium from lattice QCD
journal, April 2006


Tuning for three flavors of anisotropic clover fermions with stout-link smearing
journal, September 2008


First results from 2 + 1 dynamical quark flavors on an anisotropic lattice: Light-hadron spectroscopy and setting the strange-quark mass
journal, February 2009


Isoscalar meson spectroscopy from lattice QCD
journal, June 2011


Excited and exotic charmonium spectroscopy from lattice QCD
journal, July 2012

  • Liu, Liuming; Moir, Graham; Peardon, Michael
  • Journal of High Energy Physics, Vol. 2012, Issue 7
  • DOI: 10.1007/JHEP07(2012)126

Toward the excited isoscalar meson spectrum from lattice QCD
journal, November 2013


Decay constants of the pion and its excitations on the lattice
journal, July 2014


Excited state baryon spectroscopy from lattice QCD
journal, October 2011


Hybrid baryons in QCD
journal, March 2012


Flavor structure of the excited baryon spectra from lattice QCD
journal, March 2013


Spectroscopy of triply charmed baryons from lattice QCD
journal, October 2014


Phase shift of isospin-2 π π scattering from lattice QCD
journal, April 2011


S - and D -wave phase shifts in isospin-2 π π scattering from lattice QCD
journal, August 2012


Energy dependence of the ρ resonance in π π elastic scattering from lattice QCD
journal, February 2013


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


Adjoint sources in lattice gauge theory
journal, September 1985


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


Charmonium excited state spectrum in lattice QCD
journal, February 2008


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
  • DOI: 10.1088/1126-6708/2009/04/094

Helicity operators for mesons in flight on the lattice
journal, January 2012


Non-singlet axial vector couplings of the baryon octet in lattice QCD
journal, August 1989


Gauge-invariant smearing and matrix correlators using Wilson fermions at β = 6.2
journal, June 1993


Nucleon Axial Charge in ( 2 + 1 )-Flavor Dynamical-Lattice QCD with Domain-Wall Fermions
journal, April 2008


Continuum limit and improved action in lattice theories
journal, September 1983


Restoration of rotational symmetry in the continuum limit of lattice field theories
journal, September 2012


Heavy quarks on anisotropic lattices: The charmonium spectrum
journal, July 2001


A measurement of the space-like pion electromagnetic form factor
journal, January 1986


A measurement of the kaon charge radius
journal, October 1986


A numerical study of partially twisted boundary conditions
journal, January 2006


Pseudoscalar and vector meson form factors from lattice QCD
journal, May 2007


Light meson form factors at near physical masses
journal, April 2015


Lattice QCD and the Timelike Pion Form Factor
journal, August 2011


Timelike pion form factor in lattice QCD
journal, March 2015


Measurement of the resonance parameters and radiative width of the ρ +
journal, June 1986


The ϱ radiative decay width: A measurement at 200 GeV
journal, January 1987


Electroweak Production of Hybrid Mesons in a Flux-Tube Simulation of Lattice QCD
journal, October 2003


Hybrid meson production by electromagnetic and weak interactions in a flux-tube model
journal, February 2004


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


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


The Chroma Software System for Lattice QCD
journal, March 2005


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