Three-body final state interaction in η → 3 π updated

Guo, P.; Danilkin, I. V.; Fernández-Ramírez, C.; Mathieu, V.; Szczepaniak, A. P.

doi:10.1016/j.physletb.2017.05.092

Title: Three-body final state interaction in η → 3 π updated

Journal Article · Wed Jun 07 00:00:00 EDT 2017 · Physics Letters. B

DOI:https://doi.org/10.1016/j.physletb.2017.05.092· OSTI ID:1361560

Guo, P.; Danilkin, I. V.; Fernández-Ramírez, C.; Mathieu, V.; Szczepaniak, A. P.

In view of the recent high-statistic KLOE-2 data for the $$\eta \to \pi^+ \pi^- \pi^0$$ decay, a new determination of the quark mass double ratio has been done. Our approach relies on a unitary dispersive model that takes into account rescattering effects between three pions. The latter is essential to reproduce the Dalitz plot distribution. A simultaneous description of the KLOE-2 and WASA-at-COSY data is achieved in terms of just two real parameters. From a global fit, we determine $$Q=21.6 \pm 0.4$$. Here, the predicted slope parameter for the neutral channel $$\alpha=-0.025\pm 0.004$$ is in a reasonable agreement with the PDG average value.

View Journal Article

Cite

Export

Save

Research Organization:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: AC05-06OR23177; FG0287ER40365; PHY-1415459; PHY-1205019; 1044; 251817

OSTI ID:: 1361560

Alternate ID(s):: OSTI ID: 1373563

Report Number(s):: JLAB-THY-16-2302; DOE/OR/23177-3887; S0370269317304550; PII: S0370269317304550

Journal Information:: Physics Letters. B, Journal Name: Physics Letters. B; ISSN 0370-2693

Publisher:: ElsevierCopyright Statement

Country of Publication:: Netherlands

Language:: English

Citation Metrics:

Cited by: 38 works

Citation information provided by
Web of Science

References (35)

Dispersive analysis of ω→3π and ϕ→3π decays Niecknig, Franz; Kubis, Bastian; Schneider, Sebastian P. The European Physical Journal C, Vol. 72, Issue 5 https://doi.org/10.1140/epjc/s10052-012-2014-1	journal	May 2012
Phenomenological Model of Strong and Weak Interactions in Chiral $U (3) \otimes U (3)$ Cronin, Jeremiah A. Physical Review, Vol. 161, Issue 5 https://doi.org/10.1103/PhysRev.161.1483	journal	September 1967
On kinematical constraints in boson-boson systems Lutz, M. F. M.; Vidaña, I. The European Physical Journal A, Vol. 48, Issue 9 https://doi.org/10.1140/epja/i2012-12124-4	journal	September 2012
Dispersive analysis of the decay η → 3π Anisovich, A. V.; Leutwyler, H. Physics Letters B, Vol. 375, Issue 1-4 https://doi.org/10.1016/0370-2693(96)00192-X	journal	May 1996
Khuri-Treiman-Type Equations for Three-Body Decay and Production Processes. II Pasquier, R.; Pasquier, J. Y. Physical Review, Vol. 177, Issue 5 https://doi.org/10.1103/PhysRev.177.2482	journal	January 1969
Review of Particle Physics Olive, K. A. Chinese Physics C, Vol. 38, Issue 9 https://doi.org/10.1088/1674-1137/38/9/090001	journal	August 2014
What $π - π$ scattering tells us about chiral perturbation theory Stern, J.; Sazdjian, H.; Fuchs, N. H. Physical Review D, Vol. 47, Issue 9 https://doi.org/10.1103/PhysRevD.47.3814	journal	May 1993
Unitary analytic isobar model for the reaction nucleon-meson to nucleon-meson-meson Aitchison, I. J. R.; Brehm, J. J. Physical Review D, Vol. 17, Issue 11 https://doi.org/10.1103/PhysRevD.17.3072	journal	June 1978
Pion-pion scattering amplitude. IV. Improved analysis with once subtracted Roy-like equations up to 1100 MeV García-Martín, R.; Kamiński, R.; Peláez, J. R. Physical Review D, Vol. 83, Issue 7 https://doi.org/10.1103/PhysRevD.83.074004	journal	April 2011
Present and Future of Hadron Spectroscopy at Jefferson lab Battaglieri, M. International Journal of Modern Physics E, Vol. 19, Issue 05n06 https://doi.org/10.1142/S0218301310015291	journal	June 2010
Pion-Pion Scattering and $K^{\pm} \to 3 π$ Decay Khuri, N. N.; Treiman, S. B. Physical Review, Vol. 119, Issue 3 https://doi.org/10.1103/PhysRev.119.1115	journal	August 1960
Current algebra and η → 3π Bell, J. S.; Sutherland, D. G. Nuclear Physics B, Vol. 4, Issue 3 https://doi.org/10.1016/0550-3213(68)90316-7	journal	January 1968
Khuri-Treiman Representation and Perturbation Theory Bronzan, John B.; Kacser, Claude Physical Review, Vol. 132, Issue 6 https://doi.org/10.1103/PhysRev.132.2703	journal	December 1963
Review of lattice results concerning low-energy particle physics: Flavour Lattice Averaging Group (FLAG) Aoki, S.; Aoki, Y.; Bečirević, D. The European Physical Journal C, Vol. 77, Issue 2 https://doi.org/10.1140/epjc/s10052-016-4509-7	journal	February 2017
Momentum dependence of the decay η→π+π−π0 Abele, A.; Adomeit, J.; Amsler, C. Physics Letters B, Vol. 417, Issue 1-2 https://doi.org/10.1016/S0370-2693(97)01376-2	journal	January 1998
η-X mixing, η→3π and chiral lagrangians Osborn, H.; Wallace, D. J. Nuclear Physics B, Vol. 20, Issue 1 https://doi.org/10.1016/0550-3213(70)90194-X	journal	June 1970
Three-Body Unitarity and Khuri-Treiman Amplitudes Aitchison, I. J. R.; Pasquier, R. Physical Review, Vol. 152, Issue 4 https://doi.org/10.1103/PhysRev.152.1274	journal	December 1966
The new heavy mesons: A status report Swanson, Eric S. Physics Reports, Vol. 429, Issue 5 https://doi.org/10.1016/j.physrep.2006.04.003	journal	July 2006
Dispersive approaches for three-particle final state interaction Guo, Peng; Danilkin, I. V.; Szczepaniak, Adam P. The European Physical Journal A, Vol. 51, Issue 10 https://doi.org/10.1140/epja/i2015-15135-7	journal	October 2015
QCD isospin breaking in meson masses, decay constants and quark mass ratios Amoros, G.; Bijnens, J.; Talavera, P. Nuclear Physics B, Vol. 602, Issue 1-2 https://doi.org/10.1016/S0550-3213(01)00121-3	journal	May 2001
Dispersion Theory Model of Three-Body Production and Decay Processes Aitchison, I. J. R. Physical Review, Vol. 137, Issue 4B https://doi.org/10.1103/PhysRev.137.B1070	journal	February 1965
Final-state interactions among three particles Aitchison, I. J. R. Il Nuovo Cimento, Vol. 35, Issue 2 https://doi.org/10.1007/BF02735329	journal	January 1965
Dispersive analysis of $ω / ϕ \to 3 π, π γ^{*}$ Danilkin, I. V.; Fernández-Ramírez, C.; Guo, P. Physical Review D, Vol. 91, Issue 9 https://doi.org/10.1103/PhysRevD.91.094029	journal	May 2015
Analyticity of $$\eta \pi $$ η π isospin-violating form factors and the $$\tau \rightarrow \eta \pi \nu $$ τ → η π ν second-class decay Descotes-Genon, S.; Moussallam, B. The European Physical Journal C, Vol. 74, Issue 7 https://doi.org/10.1140/epjc/s10052-014-2946-8	journal	July 2014
Final state interactions and Khuri-Treiman equations in,ν → 3π decays Kambor, J.; Wiesendanger, C.; Wyler, D. Nuclear Physics B, Vol. 465, Issue 1-2 https://doi.org/10.1016/0550-3213(95)00676-1	journal	April 1996
η → 3π to one loop Gasser, J.; Leutwyler, H. Nuclear Physics B, Vol. 250, Issue 1-4 https://doi.org/10.1016/0550-3213(85)90494-8	journal	January 1985
Electromagnetic corrections in η→3π decays Ditsche, Christoph; Kubis, Bastian; Meißner, Ulf-G. The European Physical Journal C, Vol. 60, Issue 1 https://doi.org/10.1140/epjc/s10052-009-0863-z	journal	February 2009
Experimental Determination of the Dalitz-Plot Distribution of the Decays $η \to π^{+} π^{-} π^{0}$ and $η \to π^{+} π^{-} γ$ , and the Branching Ratio $\frac{η \to π^{+} π^{-} γ}{η \to π^{+} π^{-} π^{0}}$ Gormley, M.; Hyman, E.; Lee, W. Physical Review D, Vol. 2, Issue 3 https://doi.org/10.1103/PhysRevD.2.501	journal	August 1970
Odd and even partial waves of $η π^{-}$ and $η^{'} π^{-}$ in $π^{-} p \to η^{(')} π^{-} p$ at $191 GeV / c$ Adolph, C.; Akhunzyanov, R.; Alexeev, M. G. Physics Letters B, Vol. 740 https://doi.org/10.1016/j.physletb.2014.11.058	journal	January 2015
The low energy ππ amplitude to one and two loops Knecht, M.; Moussallam, B.; Sterna, J. Nuclear Physics B, Vol. 457, Issue 3 https://doi.org/10.1016/0550-3213(95)00515-3	journal	December 1995
Khuri-Treiman-Type Equations for Three-Body Decay and Production Processes Pasquier, R.; Pasquier, J. Y. Physical Review, Vol. 170, Issue 5 https://doi.org/10.1103/PhysRev.170.1294	journal	June 1968
Current algebra and the decay η → 3 π Sutherland, D. G. Physics Letters, Vol. 23, Issue 6 https://doi.org/10.1016/0031-9163(66)90477-X	journal	November 1966
Study of Dalitz-Plot Distributions of the Decays $η \to π^{+} π^{-} π^{0}$ and $η \to π^{+} π^{-} γ$ Layter, J. G.; Appel, J. A.; Kotlewski, A. Physical Review D, Vol. 7, Issue 9 https://doi.org/10.1103/PhysRevD.7.2565	journal	May 1973
Analytic Structure of Partial-Wave Amplitudes for Production and Decay Processes Kacser, C. Physical Review, Vol. 132, Issue 6 https://doi.org/10.1103/PhysRev.132.2712	journal	December 1963
A dispersive treatment of $$K_{\ell 4}$$ K ℓ 4 decays Colangelo, Gilberto; Passemar, Emilie; Stoffer, Peter The European Physical Journal C, Vol. 75, Issue 4 https://doi.org/10.1140/epjc/s10052-015-3357-1	journal	April 2015

Similar Records

Three-body Final State Interaction in η→3π

Journal Article · Fri Sep 11 00:00:00 EDT 2015 · Physical Review. D, Particles, Fields, Gravitation and Cosmology · OSTI ID:1361560

Guo, Peng; Danilkin, Igor V.; Schott, Diane; +3 more

On the η and η′ photoproduction beam asymmetry at high energies

Journal Article · Wed Nov 01 00:00:00 EDT 2017 · Physics Letters B · OSTI ID:1361560

Mathieu, V.; Nys, J.; Fernández-Ramírez, C.; +5 more

η \to 3 π

: Study of the Dalitz plot and extraction of the Quark Mass Ratio

Q

[The decay

η \to 3 π

: Study of the Dalitz plot and extraction of the quark mass ratio

Q

]

Journal Article · Mon Jan 09 00:00:00 EST 2017 · Physical Review Letters · OSTI ID:1361560

Colangelo, Gilberto; Lanz, Stefan; Leutwyler, Heinrich; +1 more

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Title: Three-body final state interaction in η → 3 π updated

Citation Formats

References (35)

Similar Records

Related Subjects