Analytic continuation of the Pasquier inversion representation of the Khuri-Treiman equation

Guo, Peng

doi:10.1103/PhysRevD.91.076012

Title: Analytic continuation of the Pasquier inversion representation of the Khuri-Treiman equation

Authors:: Guo, Peng

Publication Date:: Mon Apr 27 00:00:00 EDT 2015

Sponsoring Org.:: USDOE

OSTI Identifier:: 1178771

Grant/Contract Number:: FG0287ER40365; AC05-06OR23177

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 91 Journal Issue: 7; Journal ID: ISSN 1550-7998

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

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                    Guo, Peng. Analytic continuation of the Pasquier inversion representation of the Khuri-Treiman equation.  United States: N. p., 2015. 
Web.  doi:10.1103/PhysRevD.91.076012.

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                    Guo, Peng. Analytic continuation of the Pasquier inversion representation of the Khuri-Treiman equation.  United States.  https://doi.org/10.1103/PhysRevD.91.076012

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                    Guo, Peng. Mon .  
"Analytic continuation of the Pasquier inversion representation of the Khuri-Treiman equation".  United States.  https://doi.org/10.1103/PhysRevD.91.076012.

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@article{osti_1178771,

  title        = {Analytic continuation of the Pasquier inversion representation of the Khuri-Treiman equation},

  author       = {Guo, Peng},

  abstractNote = {},

  doi          = {10.1103/PhysRevD.91.076012},

  journal      = {Physical Review D},

  number       = 7,

  volume       = 91,

  place        = {United States},

  year         = {Mon Apr 27 00:00:00 EDT 2015},

  month        = {Mon Apr 27 00:00:00 EDT 2015}

}

Copy to clipboard

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Works referenced in this record:

$B_{l 4}$ decays and the extraction of $| V_{u b} |$
journal, March 2014

Kang, Xian-Wei; Kubis, Bastian; Hanhart, Christoph
Physical Review D, Vol. 89, Issue 5
DOI: 10.1103/PhysRevD.89.053015

Overlapping Resonances in Dispersion Theory
journal, May 1964

Bronzan, John B.
Physical Review, Vol. 134, Issue 3B
DOI: 10.1103/PhysRev.134.B687

Dispersive analysis of ω→3π and ϕ→3π decays
journal, May 2012

Niecknig, Franz; Kubis, Bastian; Schneider, Sebastian P.
The European Physical Journal C, Vol. 72, Issue 5
DOI: 10.1140/epjc/s10052-012-2014-1

Complex Propagators in Perturbation Theory
journal, March 1964

Aitchison, I. J. R.; Kacser, C.
Physical Review, Vol. 133, Issue 5B
DOI: 10.1103/PhysRev.133.B1239

Unitarity constraints on $a + b \to 1 + 2 + 3$
journal, January 1977

Goradia, Y.; Lasinski, T. A.
Physical Review D, Vol. 15, Issue 1
DOI: 10.1103/PhysRevD.15.220

Dispersive analysis of the decay η → 3π
journal, May 1996

Anisovich, A. V.; Leutwyler, H.
Physics Letters B, Vol. 375, Issue 1-4
DOI: 10.1016/0370-2693(96)00192-X

Khuri-Treiman-Type Equations for Three-Body Decay and Production Processes. II
journal, January 1969

Pasquier, R.; Pasquier, J. Y.
Physical Review, Vol. 177, Issue 5
DOI: 10.1103/PhysRev.177.2482

A Dispersive Treatment of K _{ℓ 4} Decays
journal, January 2012

Colangelo, Gilberto; Passemar, Emilie; Stoffer, Peter
EPJ Web of Conferences, Vol. 37
DOI: 10.1051/epjconf/20123705006

Amplitudes for the analysis of the decay $J / ψ \to K^{+} K^{-} π^{0}$
journal, March 2012

Guo, Peng; Mitchell, Ryan; Shepherd, Matthew
Physical Review D, Vol. 85, Issue 5
DOI: 10.1103/PhysRevD.85.056003

Unitary analytic isobar model for the reaction nucleon-meson to nucleon-meson-meson
journal, June 1978

Aitchison, I. J. R.; Brehm, J. J.
Physical Review D, Vol. 17, Issue 11
DOI: 10.1103/PhysRevD.17.3072

Relativistic Three-Pion Calculation. I
journal, January 1966

Basdevant, Jean-Louis; Kreps, Rodney E.
Physical Review, Vol. 141, Issue 4
DOI: 10.1103/PhysRev.141.1398

Pion-Pion Scattering and $K^{\pm} \to 3 π$ Decay
journal, August 1960

Khuri, N. N.; Treiman, S. B.
Physical Review, Vol. 119, Issue 3
DOI: 10.1103/PhysRev.119.1115

Khuri-Treiman Representation and Perturbation Theory
journal, December 1963

Bronzan, John B.; Kacser, Claude
Physical Review, Vol. 132, Issue 6
DOI: 10.1103/PhysRev.132.2703

Three-Body Unitarity and Khuri-Treiman Amplitudes
journal, December 1966

Aitchison, I. J. R.; Pasquier, R.
Physical Review, Vol. 152, Issue 4
DOI: 10.1103/PhysRev.152.1274

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

Chew, Geoffrey F.; Mandelstam, Stanley
Physical Review, Vol. 119, Issue 1
DOI: 10.1103/PhysRev.119.467

Relativistic Three-Particle Equations. I
journal, October 1966

Taylor, John G.
Physical Review, Vol. 150, Issue 4
DOI: 10.1103/PhysRev.150.1321

Analysis of Partial-Wave Dispersion Relations
journal, April 1963

Frye, Graham; Warnock, Robert Lee
Physical Review, Vol. 130, Issue 1
DOI: 10.1103/PhysRev.130.478

Singularities and discontinuities of the triangle graph, as a function of an internal mass
journal, November 1965

Aitchison, I. J. R.; Kacser, C.
Il Nuovo Cimento A, Vol. 40, Issue 2
DOI: 10.1007/BF02721045

Dispersion Theory Model of Three-Body Production and Decay Processes
journal, February 1965

Aitchison, I. J. R.
Physical Review, Vol. 137, Issue 4B
DOI: 10.1103/PhysRev.137.B1070

Eta Decays at and Beyond p4 in Chiral Perturbation Theory
journal, January 2002

Bijnens, Johan; Gasser, J?rg
Physica Scripta, Vol. T99, Issue 1
DOI: 10.1238/Physica.Topical.099a00034

Role of $P$ -wave inelasticity in $J / ψ \to π^{+} π^{-} π^{0}$
journal, November 2010

Guo, Peng; Mitchell, Ryan; Szczepaniak, Adam P.
Physical Review D, Vol. 82, Issue 9
DOI: 10.1103/PhysRevD.82.094002

Final-state interactions among three particles
journal, January 1965

Aitchison, I. J. R.
Il Nuovo Cimento, Vol. 35, Issue 2
DOI: 10.1007/BF02735329

Extracting the chiral anomaly from $γ π \to π π$
journal, December 2012

Hoferichter, Martin; Kubis, Bastian; Sakkas, Dimitrios
Physical Review D, Vol. 86, Issue 11
DOI: 10.1103/PhysRevD.86.116009

Final state interactions and Khuri-Treiman equations in,ν → 3π decays
journal, April 1996

Kambor, J.; Wiesendanger, C.; Wyler, D.
Nuclear Physics B, Vol. 465, Issue 1-2
DOI: 10.1016/0550-3213(95)00676-1

η → 3π to one loop
journal, January 1985

Gasser, J.; Leutwyler, H.
Nuclear Physics B, Vol. 250, Issue 1-4
DOI: 10.1016/0550-3213(85)90494-8

Unitary states for three pions
journal, July 1975

Ascoli, G.; Wyld, H. W.
Physical Review D, Vol. 12, Issue 1
DOI: 10.1103/PhysRevD.12.43

Dispersion Theory of Three-Body Production and Decay Processes
journal, February 1967

Aitchison, I. J. R.
Physical Review, Vol. 154, Issue 5
DOI: 10.1103/PhysRev.154.1622

η→3π at two loops in Chiral Perturbation Theory
journal, November 2007

Bijnens, Johan; Ghorbani, Karim
Journal of High Energy Physics, Vol. 2007, Issue 11
DOI: 10.1088/1126-6708/2007/11/030

Relativistic few-body problem. II. Three-body equations and three-body forces
journal, November 1982

Gross, Franz
Physical Review C, Vol. 26, Issue 5
DOI: 10.1103/PhysRevC.26.2226

Khuri-Treiman-Type Equations for Three-Body Decay and Production Processes
journal, June 1968

Pasquier, R.; Pasquier, J. Y.
Physical Review, Vol. 170, Issue 5
DOI: 10.1103/PhysRev.170.1294

The Discontinuities of the Triangle Graph as a Function of an Internal Mass. II
journal, November 1966

Kacser, C.
Journal of Mathematical Physics, Vol. 7, Issue 11
DOI: 10.1063/1.1704884

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Similar Records

Title: Analytic continuation of the Pasquier inversion representation of the Khuri-Treiman equation

Citation Formats

B l 4 decays and the extraction of | V u b | journal, March 2014

Overlapping Resonances in Dispersion Theory journal, May 1964

Dispersive analysis of ω→3π and ϕ→3π decays journal, May 2012

Complex Propagators in Perturbation Theory journal, March 1964

Unitarity constraints on a + b → 1 + 2 + 3 journal, January 1977

Dispersive analysis of the decay η → 3π journal, May 1996

Khuri-Treiman-Type Equations for Three-Body Decay and Production Processes. II journal, January 1969

A Dispersive Treatment of K ℓ 4 Decays journal, January 2012

Amplitudes for the analysis of the decay J / ψ → K + K − π 0 journal, March 2012

Unitary analytic isobar model for the reaction nucleon-meson to nucleon-meson-meson journal, June 1978

Relativistic Three-Pion Calculation. I journal, January 1966

Pion-Pion Scattering and K ± → 3 π Decay journal, August 1960

Khuri-Treiman Representation and Perturbation Theory journal, December 1963

Three-Body Unitarity and Khuri-Treiman Amplitudes journal, December 1966

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

Relativistic Three-Particle Equations. I journal, October 1966

Analysis of Partial-Wave Dispersion Relations journal, April 1963

Singularities and discontinuities of the triangle graph, as a function of an internal mass journal, November 1965

Dispersion Theory Model of Three-Body Production and Decay Processes journal, February 1965

Eta Decays at and Beyond p4 in Chiral Perturbation Theory journal, January 2002

Role of P -wave inelasticity in J / ψ → π + π − π 0 journal, November 2010

Final-state interactions among three particles journal, January 1965

Extracting the chiral anomaly from γ π → π π journal, December 2012

Final state interactions and Khuri-Treiman equations in,ν → 3π decays journal, April 1996

η → 3π to one loop journal, January 1985

Unitary states for three pions journal, July 1975

Dispersion Theory of Three-Body Production and Decay Processes journal, February 1967

η→3π at two loops in Chiral Perturbation Theory journal, November 2007

Relativistic few-body problem. II. Three-body equations and three-body forces journal, November 1982

Khuri-Treiman-Type Equations for Three-Body Decay and Production Processes journal, June 1968

The Discontinuities of the Triangle Graph as a Function of an Internal Mass. II journal, November 1966

$B_{l 4}$ decays and the extraction of $| V_{u b} |$
journal, March 2014

Overlapping Resonances in Dispersion Theory
journal, May 1964

Dispersive analysis of ω→3π and ϕ→3π decays
journal, May 2012

Complex Propagators in Perturbation Theory
journal, March 1964

Unitarity constraints on $a + b \to 1 + 2 + 3$
journal, January 1977

Dispersive analysis of the decay η → 3π
journal, May 1996

Khuri-Treiman-Type Equations for Three-Body Decay and Production Processes. II
journal, January 1969

A Dispersive Treatment of K _{ℓ 4} Decays
journal, January 2012

Amplitudes for the analysis of the decay $J / ψ \to K^{+} K^{-} π^{0}$
journal, March 2012

Unitary analytic isobar model for the reaction nucleon-meson to nucleon-meson-meson
journal, June 1978

Relativistic Three-Pion Calculation. I
journal, January 1966

Pion-Pion Scattering and $K^{\pm} \to 3 π$ Decay
journal, August 1960

Khuri-Treiman Representation and Perturbation Theory
journal, December 1963

Three-Body Unitarity and Khuri-Treiman Amplitudes
journal, December 1966

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

Relativistic Three-Particle Equations. I
journal, October 1966

Analysis of Partial-Wave Dispersion Relations
journal, April 1963

Singularities and discontinuities of the triangle graph, as a function of an internal mass
journal, November 1965

Dispersion Theory Model of Three-Body Production and Decay Processes
journal, February 1965

Eta Decays at and Beyond p4 in Chiral Perturbation Theory
journal, January 2002

Role of $P$ -wave inelasticity in $J / ψ \to π^{+} π^{-} π^{0}$
journal, November 2010

Final-state interactions among three particles
journal, January 1965

Extracting the chiral anomaly from $γ π \to π π$
journal, December 2012

Final state interactions and Khuri-Treiman equations in,ν → 3π decays
journal, April 1996

η → 3π to one loop
journal, January 1985

Unitary states for three pions
journal, July 1975

Dispersion Theory of Three-Body Production and Decay Processes
journal, February 1967

η→3π at two loops in Chiral Perturbation Theory
journal, November 2007

Relativistic few-body problem. II. Three-body equations and three-body forces
journal, November 1982

Khuri-Treiman-Type Equations for Three-Body Decay and Production Processes
journal, June 1968

The Discontinuities of the Triangle Graph as a Function of an Internal Mass. II
journal, November 1966