Phase shift of isospin-2 ππ scattering from lattice QCD

Dudek, Jozef J.; Edwards, Robert G.; Peardon, Michael J.; Richards, David G.; Thomas, Christopher E.

doi:10.1103/PhysRevD.83.071504

Title: Phase shift of isospin-2 ππ scattering from lattice QCD

Authors:: Dudek, Jozef J.; Edwards, Robert G.; Peardon, Michael J.; Richards, David G.; Thomas, Christopher E.

Publication Date:: Thu Apr 21 00:00:00 EDT 2011

Sponsoring Org.:: USDOE

OSTI Identifier:: 1100288

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Physical Review. D, Particles, Fields, Gravitation and Cosmology

Additional Journal Information:: Journal Name: Physical Review. D, Particles, Fields, Gravitation and Cosmology Journal Volume: 83 Journal Issue: 7; Journal ID: ISSN 1550-7998

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Citation Formats


                    Dudek, Jozef J., Edwards, Robert G., Peardon, Michael J., Richards, David G., and Thomas, Christopher E. Phase shift of isospin-2 ππ scattering from lattice QCD.  United States: N. p., 2011. 
Web.  doi:10.1103/PhysRevD.83.071504.

Copy to clipboard


                    Dudek, Jozef J., Edwards, Robert G., Peardon, Michael J., Richards, David G., & Thomas, Christopher E. Phase shift of isospin-2 ππ scattering from lattice QCD.  United States.  https://doi.org/10.1103/PhysRevD.83.071504

Copy to clipboard


                    Dudek, Jozef J., Edwards, Robert G., Peardon, Michael J., Richards, David G., and Thomas, Christopher E. Thu .  
"Phase shift of isospin-2 ππ scattering from lattice QCD".  United States.  https://doi.org/10.1103/PhysRevD.83.071504.

Copy to clipboard


                    
@article{osti_1100288,

  title        = {Phase shift of isospin-2 ππ scattering from lattice QCD},

  author       = {Dudek, Jozef J. and Edwards, Robert G. and Peardon, Michael J. and Richards, David G. and Thomas, Christopher E.},

  abstractNote = {},

  doi          = {10.1103/PhysRevD.83.071504},

  journal      = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},

  number       = 7,

  volume       = 83,

  place        = {United States},

  year         = {Thu Apr 21 00:00:00 EDT 2011},

  month        = {Thu Apr 21 00:00:00 EDT 2011}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (Publisher)

Publisher's Version of Record
https://doi.org/10.1103/PhysRevD.83.071504

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 61 works

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

Precise determination of the $I = 2$ $π π$ scattering length from mixed-action lattice QCD
journal, January 2008

Beane, Silas R.; Luu, Thomas C.; Orginos, Kostas
Physical Review D, Vol. 77, Issue 1
DOI: 10.1103/PhysRevD.77.014505

Measurement and analysis of the π+π+ system produced at small momentum transfer in the reaction π+p→π+π+n at 12.5 GeV
journal, August 1977

Hoogland, W.; Peters, S.; Grayer, G.
Nuclear Physics B, Vol. 126, Issue 1
DOI: 10.1016/0550-3213(77)90154-7

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

Dudek, Jozef J.; Edwards, Robert G.; Peardon, Michael J.
Physical Review Letters, Vol. 103, Issue 26
DOI: 10.1103/PhysRevLett.103.262001

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
DOI: 10.1016/0550-3213(91)90366-6

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

Peardon, Michael; Bulava, John; Foley, Justin
Physical Review D, Vol. 80, Issue 5
DOI: 10.1103/PhysRevD.80.054506

ππ scattering
journal, June 2001

Colangelo, G.; Gasser, J.; Leutwyler, H.
Nuclear Physics B, Vol. 603, Issue 1-2
DOI: 10.1016/S0550-3213(01)00147-X

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

Edwards, Robert G.; Joó, Bálint; Lin, Huey-Wen
Physical Review D, Vol. 78, Issue 5
DOI: 10.1103/PhysRevD.78.054501

Study of $π π$ Scattering in the Isotopic-Spin-2 Channel
journal, February 1973

Cohen, D.; Ferbel, T.; Slattery, P.
Physical Review D, Vol. 7, Issue 3
DOI: 10.1103/PhysRevD.7.661

Adjoint sources in lattice gauge theory
journal, September 1985

Michael, C.
Nuclear Physics B, Vol. 259, Issue 1
DOI: 10.1016/0550-3213(85)90297-4

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

Clark, M. A.; Babich, R.; Barros, K.
Computer Physics Communications, Vol. 181, Issue 9
DOI: 10.1016/j.cpc.2010.05.002

Lattice QCD calculation of the $ρ$ meson decay width
journal, November 2007

Aoki, S.; Fukugita, M.; Ishikawa, K-I.
Physical Review D, Vol. 76, Issue 9
DOI: 10.1103/PhysRevD.76.094506

$I = 2$ two-pion wave function and scattering phase shift
journal, July 2008

Sasaki, Kiyoshi; Ishizuka, Naruhito
Physical Review D, Vol. 78, Issue 1
DOI: 10.1103/PhysRevD.78.014511

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

Lin, Huey-Wen; Cohen, Saul D.; Dudek, Jozef
Physical Review D, Vol. 79, Issue 3
DOI: 10.1103/PhysRevD.79.034502

The <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msup><mml:mi>π</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi>π</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:math> scattering length from maximally twisted mass lattice QCD
journal, February 2010

Feng, Xu; Jansen, Karl; Renner, Dru
Physics Letters B, Vol. 684, Issue 4-5
DOI: 10.1016/j.physletb.2010.01.018

Study of the I=2 ππ scattering from the reaction π−d → π−π−psp at 9.0 GeV/c
journal, August 1973

Durusoy, N. B.; Baubillier, M.; George, R.
Physics Letters B, Vol. 45, Issue 5
DOI: 10.1016/0370-2693(73)90658-8

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

Dudek, Jozef J.; Edwards, Robert G.; Peardon, Michael J.
Physical Review D, Vol. 82, Issue 3
DOI: 10.1103/PhysRevD.82.034508

A study of π−π− scattering from π−p interactions at 3.93 GeV/c
journal, January 1974

Losty, M. J.; Chaloupka, V.; Ferrando, A.
Nuclear Physics B, Vol. 69, Issue 1
DOI: 10.1016/0550-3213(74)90131-X

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
DOI: 10.1016/0550-3213(90)90540-T

The Chroma Software System for Lattice QCD
journal, March 2005

Edwards, Robert G.; Joó, Bálint
Nuclear Physics B - Proceedings Supplements, Vol. 140
DOI: 10.1016/j.nuclphysbps.2004.11.254

Similar Records in DOE PAGES and OSTI.GOV collections:

The I=2 ππ S-wave Scattering Phase Shift from Lattice QCD

Journal Article Beane, S. R. ; Chang, E. ; Detmold, W. ; ... - Physical Review. D, Particles, Fields, Gravitation and Cosmology

The π⁺π⁺ s-wave scattering phase-shift is determined below the inelastic threshold using Lattice QCD. Calculations were performed at a pion mass of m_π ≈ 390 MeV with an anisotropic n_f = 2+1 clover fermion discretization in four lattice volumes, with spatial extent L ≈ 2.0, 2.5, 3.0 and 3.9 fm, and with a lattice spacing of b_s ≈ 0.123 fm in the spatial direction and b_t b_s/3.5 in the time direction. The phase-shift is determined from the energy-eigenvalues of π⁺π⁺ systems with both zero and non-zero total momentum in the lattice volume using Luscher's method. Our calculations are precise enoughmore »« less
Cited by 71
https://doi.org/10.1103/PhysRevD.85.034505

Full Text Available
Phase shift of isospin-2 {pi}{pi} scattering from lattice QCD

Journal Article Dudek, Jozef J ; Department of Physics, Old Dominion University, Norfolk, Virginia 23529 ; Edwards, Robert G ; ... - Physical Review. D, Particles Fields

Finite-volume lattice QCD calculations offer the possibility of extracting resonance parameters from the energy-dependent elastic phase-shift computed using the Luescher technique. In this letter, as a trial of the method, we report on the extraction of the nonresonant phase-shift for S and D-wave {pi}{pi} isospin-2 scattering from dynamical lattice QCD computations. We define a variational basis of operators resembling pairs of pions of definite relative momentum and extract a spectrum of excited states that maps to phase-shifts at a set of discrete scattering momenta. Computations are performed with pion masses between 400 and 520 MeV on multiple spatial volumes. Wemore »« less
https://doi.org/10.1103/PHYSREVD.83.071504
The phase-shift of isospin-2 pi-pi scattering from lattice QCD

Journal Article Jozef J. Dudek, Robert G. Edwards, Michael J. Peardon, David G. Richards, Christopher E. Thomas - Phys.Rev.D

Finite-volume lattice QCD calculations offer the possibility of extracting resonance parameters from the energy-dependent elastic phase-shift computed using the L\"uscher technique. In this letter, as a trial of the method, we report on the extraction of the non-resonant phase-shift formore »« less
https://doi.org/10.1103/PhysRevD.83.071504

Full Text Available
$S$ - and $D$ -wave phase shifts in isospin-2 $π π$ scattering from lattice QCD

Journal Article Dudek, Jozef J. ; Edwards, Robert G. ; Thomas, Christopher E. ; ... - Physical Review D
Cited by 125
https://doi.org/10.1103/PhysRevD.86.034031
$S$ - and $D$ -wave phase shifts in isospin-2 $π π$ scattering from lattice QCD

Journal Article Dudek, Jozef J. ; Edwards, Robert G. ; Thomas, Christopher E. - Physical Review. D, Particles, Fields, Gravitation and Cosmology

The isospin-2 {pi}{pi} system provides a useful testing ground for determining elastic hadron scattering parameters from finite-volume spectra obtained using lattice QCD computations. A reliable determination of the excited state spectrum of two pions in a cubic box follows from variational analysis of correlator matrices constructed using a large basis of operators. A general operator construction is presented which respects the symmetries of a multi-hadron system in flight. This is applied to the case of {pi}{pi} and allows for the determination of the scattering phase-shifts at a large number of kinematic points, in both S-wave and D-wave, within the elasticmore »« less
https://doi.org/10.1103/PhysRevD.86.034031

Similar Records

Title: Phase shift of isospin-2 ππ scattering from lattice QCD

Citation Formats

Precise determination of the I = 2 π π scattering length from mixed-action lattice QCD journal, January 2008

Measurement and analysis of the π+π+ system produced at small momentum transfer in the reaction π+p→π+π+n at 12.5 GeV journal, August 1977

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

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

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

ππ scattering journal, June 2001

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

Study of π π Scattering in the Isotopic-Spin-2 Channel journal, February 1973

Adjoint sources in lattice gauge theory journal, September 1985

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

Lattice QCD calculation of the ρ meson decay width journal, November 2007

I = 2 two-pion wave function and scattering phase shift journal, July 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

Study of the I=2 ππ scattering from the reaction π−d → π−π−psp at 9.0 GeV/c journal, August 1973

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

A study of π−π− scattering from π−p interactions at 3.93 GeV/c journal, January 1974

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

The Chroma Software System for Lattice QCD journal, March 2005

Precise determination of the $I = 2$ $π π$ scattering length from mixed-action lattice QCD
journal, January 2008

Measurement and analysis of the π+π+ system produced at small momentum transfer in the reaction π+p→π+π+n at 12.5 GeV
journal, August 1977

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

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

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

ππ scattering
journal, June 2001

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

Study of $π π$ Scattering in the Isotopic-Spin-2 Channel
journal, February 1973

Adjoint sources in lattice gauge theory
journal, September 1985

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

Lattice QCD calculation of the $ρ$ meson decay width
journal, November 2007

$I = 2$ two-pion wave function and scattering phase shift
journal, July 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

Study of the I=2 ππ scattering from the reaction π−d → π−π−psp at 9.0 GeV/c
journal, August 1973

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

A study of π−π− scattering from π−p interactions at 3.93 GeV/c
journal, January 1974

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

The Chroma Software System for Lattice QCD
journal, March 2005