Unitary Coupled-Channels Model for Three-Mesons Decays of Heavy Mesons

Kamano, H.; Nakamura, S. X.; Lee, T.-S. H.; Sato, T.

doi:10.1103/PhysRevD.84.114019

Title: Unitary Coupled-Channels Model for Three-Mesons Decays of Heavy Mesons

Journal Article · Sat Jan 01 00:00:00 EST 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.84.114019· OSTI ID:1090979

Kamano, H.; Nakamura, S. X.; Lee, T.-S. H.; Sato, T. ^[1]

Physics

Cite

Export

Save

Research Organization:: Argonne National Laboratory (ANL), Argonne, IL (United States)

Sponsoring Organization:: SC OFFICE OF BASIC ENRGY SCEINCES; Japan Society for the Promotion of Science (JSPS)

DOE Contract Number:: DE-AC02-06CH11357

OSTI ID:: 1090979

Report Number(s):: ANL/PHY/JA-70436

Journal Information:: Physical Review. D, Particles Fields, Vol. 84, Issue 11 ; 2011

Country of Publication:: United States

Language:: ENGLISH

References (72)

Glueballs, hybrids, multiquarks Klempt, Eberhard; Zaitsev, Alexander Physics Reports, Vol. 454, Issue 1-4 https://doi.org/10.1016/j.physrep.2007.07.006	journal	December 2007
Observation of a New $J^{PC} = 1^{- +}$ Exotic State in the Reaction $π^{-} p \to π^{+} π^{-} π^{-} p$ at $18 GeV / c$ Adams, G. S.; Adams, T.; Bar-Yam, Z. Physical Review Letters, Vol. 81, Issue 26 https://doi.org/10.1103/PhysRevLett.81.5760	journal	December 1998
Exotic and $q \bar{q}$ resonances in the $π^{+} π^{-} π^{-}$ system produced in $π^{-} p$ collisions at $18 GeV / c$ Chung, S. U.; Danyo, K.; Hackenburg, R. W. Physical Review D, Vol. 65, Issue 7 https://doi.org/10.1103/PhysRevD.65.072001	journal	March 2002
Partial wave analysis of the $π^{-} π^{-} π^{+}$ and $π^{-} π^{0} π^{0}$ systems and the search for a $J^{P C} = 1^{- +}$ meson Dzierba, A. R.; Mitchell, R.; Scott, E. Physical Review D, Vol. 73, Issue 7 https://doi.org/10.1103/PhysRevD.73.072001	journal	April 2006
Search for the Photoexcitation of Exotic Mesons in the $π^{+} π^{+} π^{-}$ System Nozar, M.; Salgado, C.; Weygand, D. P. Physical Review Letters, Vol. 102, Issue 10 https://doi.org/10.1103/PhysRevLett.102.102002	journal	March 2009
Meson dynamics beyond the quark model: Study of final-state interactions Au, K. L.; Morgan, D.; Pennington, M. R. Physical Review D, Vol. 35, Issue 5 https://doi.org/10.1103/PhysRevD.35.1633	journal	March 1987
Role of $P$ -wave inelasticity in $J / ψ \to π^{+} π^{-} π^{0}$ Guo, Peng; Mitchell, Ryan; Szczepaniak, Adam P. Physical Review D, Vol. 82, Issue 9 https://doi.org/10.1103/PhysRevD.82.094002	journal	November 2010
Measurement of the branching fraction of $J / \vec{ψ} π^{+} π^{-} π^{0}$ Bai, J. Z.; Ban, Y.; Bian, J. G. Physical Review D, Vol. 70, Issue 1 https://doi.org/10.1103/PhysRevD.70.012005	journal	July 2004
Study of the $e^{+} e^{-} \to π^{+} π^{-} π^{0}$ process using initial state radiation with BABAR Aubert, B.; Barate, R.; Boutigny, D. Physical Review D, Vol. 70, Issue 7 https://doi.org/10.1103/PhysRevD.70.072004	journal	October 2004
Analysis of three D → Kππ Dalitz plots Frabetti, P. L.; Cheung, H. W. K.; Cumalat, J. P. Physics Letters B, Vol. 331, Issue 1-2 https://doi.org/10.1016/0370-2693(94)90966-0	journal	June 1994
Dalitz plot analysis of $D \to K π π$ decays Anjos, J. C.; Appel, J. A.; Bean, A. Physical Review D, Vol. 48, Issue 1 https://doi.org/10.1103/PhysRevD.48.56	journal	July 1993
Resonant substructure in Kππ decays of charmed D mesons Adler, J.; Becker, J. J.; Blaylock, G. T. Physics Letters B, Vol. 196, Issue 1 https://doi.org/10.1016/0370-2693(87)91685-6	journal	September 1987
Study of the Decay $D^{0} \to K^{-} π^{+} π^{0}$ in High-Energy Photoproduction Summers, D. J.; Bharadwaj, V. K.; Denby, B. H. Physical Review Letters, Vol. 52, Issue 6 https://doi.org/10.1103/PhysRevLett.52.410	journal	February 1984
Dalitz analysis of the decay $D^{0} \to K^{-} π^{+} π^{0}$ Kopp, S.; Kostin, M.; Mahmood, A. H. Physical Review D, Vol. 63, Issue 9 https://doi.org/10.1103/PhysRevD.63.092001	journal	April 2001
Measurement of the Cabibbo-Kobayashi-Maskawa Angle $γ$ in $B^{\mp} \to D^{(*)} K^{\mp}$ Decays with a Dalitz Analysis of $D \to K_{S}^{0} π^{-} π^{+}$ Aubert, B.; Barate, R.; Boutigny, D. Physical Review Letters, Vol. 95, Issue 12 https://doi.org/10.1103/PhysRevLett.95.121802	journal	September 2005
Measurement of $C P$ Violation Parameters with a Dalitz Plot Analysis of $B^{\pm} \to D_{π^{+} π^{-} π^{0}} K^{\pm}$ Aubert, B.; Bona, M.; Boutigny, D. Physical Review Letters, Vol. 99, Issue 25 https://doi.org/10.1103/PhysRevLett.99.251801	journal	December 2007
Improved measurement of the CKM angle $γ$ in $B^{\mp} \to D^{()} K^{() \mp}$ decays with a Dalitz plot analysis of $D$ decays to $K_{S}^{0} π^{+} π^{-}$ and $K_{S}^{0} K^{+} K^{-}$ Aubert, B.; Bona, M.; Karyotakis, Y. Physical Review D, Vol. 78, Issue 3 https://doi.org/10.1103/PhysRevD.78.034023	journal	August 2008
Evidence for Direct $C P$ Violation in the Measurement of the Cabbibo-Kobayashi-Maskawa Angle $γ$ with $B^{\mp} \to D^{()} K^{() \mp}$ Decays del Amo Sanchez, P.; Lees, J. P.; Poireau, V. Physical Review Letters, Vol. 105, Issue 12 https://doi.org/10.1103/PhysRevLett.105.121801	journal	September 2010
Measurement of $ϕ_{3}$ with a Dalitz plot analysis of $B^{+} \to D^{()} K^{() +}$ decay Poluektov, A.; Abe, K.; Abe, K. Physical Review D, Vol. 73, Issue 11 https://doi.org/10.1103/PhysRevD.73.112009	journal	June 2006
Evidence for direct $C P$ violation in the decay $B^{\pm} \to D^{(} *^{)} K^{\pm}$ , $D \to K_{S}^{0} π^{+} π^{-}$ and measurement of the CKM phase $ϕ_{3}$ Poluektov, A.; Bondar, A.; Yabsley, B. D. Physical Review D, Vol. 81, Issue 11 https://doi.org/10.1103/PhysRevD.81.112002	journal	June 2010
Study of three-body charmless B decays Garmash, A.; Abe, K.; Abe, K. Physical Review D, Vol. 65, Issue 9 https://doi.org/10.1103/PhysRevD.65.092005	journal	April 2002
Study of B meson decays to three-body charmless hadronic final states Garmash, A.; Abe, K.; Abe, K. Physical Review D, Vol. 69, Issue 1 https://doi.org/10.1103/PhysRevD.69.012001	journal	January 2004
Evidence for Large Direct $C P$ Violation in $B^{\pm} \to ρ (770)^{0} K^{\pm}$ from Analysis of Three-Body Charmless $B^{\pm} \to K^{\pm} π^{\pm} π^{\pm}$ Decays Garmash, A.; Abe, K.; Abe, K. Physical Review Letters, Vol. 96, Issue 25 https://doi.org/10.1103/PhysRevLett.96.251803	journal	June 2006
Dalitz analysis of the three-body charmless decays $B^{+} \to K^{+} π^{+} π^{-}$ and $B^{+} \to K^{+} K^{+} K^{-}$ Garmash, A.; Abe, K.; Abe, K. Physical Review D, Vol. 71, Issue 9 https://doi.org/10.1103/PhysRevD.71.092003	journal	May 2005
Dalitz analysis of three-body charmless $B^{0} \to K^{0} π^{+} π^{-}$ decay Garmash, A.; Abe, K.; Adachi, I. Physical Review D, Vol. 75, Issue 1 https://doi.org/10.1103/PhysRevD.75.012006	journal	January 2007
Observation of $B \to K_{S}^{0} π^{+} π^{-}$ and Evidence for $B \to K^{* \pm} π^{\mp}$ Eckhart, E.; Gan, K. K.; Gwon, C. Physical Review Letters, Vol. 89, Issue 25 https://doi.org/10.1103/PhysRevLett.89.251801	journal	December 2002
Measurements of the Branching Fractions and Bounds on the Charge Asymmetries of Charmless Three-Body Charged $B$ Decays Aubert, B.; Barate, R.; Boutigny, D. Physical Review Letters, Vol. 91, Issue 5 https://doi.org/10.1103/PhysRevLett.91.051801	journal	July 2003
Dalitz-plot analysis of the decays $B^{\pm} \to K^{\pm} π^{\mp} π^{\pm}$ Aubert, B.; Barate, R.; Boutigny, D. Physical Review D, Vol. 72, Issue 7 https://doi.org/10.1103/PhysRevD.72.072003	journal	October 2005
Erratum: Dalitz-plot analysis of the decays $B^{\pm} \to K^{\pm} π^{\mp} π^{\pm}$ [Phys. Rev. D 72 , 072003 (2005)] Aubert, B.; Barate, R.; Boutigny, D. Physical Review D, Vol. 74, Issue 9 https://doi.org/10.1103/PhysRevD.74.099903	journal	November 2006
Measurements of neutral $B$ decay branching fractions to $K_{S}^{0} π^{+} π^{-}$ final states and the charge asymmetry of $B^{0} \to K^{* +} π^{-}$ Aubert, B.; Barate, R.; Boutigny, D. Physical Review D, Vol. 73, Issue 3 https://doi.org/10.1103/PhysRevD.73.031101	journal	February 2006
Evidence for direct $C P$ violation from Dalitz-plot analysis of $B^{\pm} \to K^{\pm} π^{\mp} π^{\pm}$ Aubert, B.; Bona, M.; Karyotakis, Y. Physical Review D, Vol. 78, Issue 1 https://doi.org/10.1103/PhysRevD.78.012004	journal	July 2008
Dalitz plot analysis of the decay $B^{0} ({\bar{B}}^{0}) \to K^{\pm} π^{\mp} π^{0}$ Aubert, B.; Bona, M.; Karyotakis, Y. Physical Review D, Vol. 78, Issue 5 https://doi.org/10.1103/PhysRevD.78.052005	journal	September 2008
$C P$ violation and kaon-pion interactions in $B \to K π^{+} π^{-}$ decays El-Bennich, B.; Furman, A.; Kamiński, R. Physical Review D, Vol. 79, Issue 9 https://doi.org/10.1103/PhysRevD.79.094005	journal	May 2009
Modern Three-Hadron Physics Thomas, Anthony William Topics in Current Physics https://doi.org/10.1007/978-3-642-81070-1	book	January 1977
πNN Systems Garcilazo, H.; Mizutani, T. World Scientific https://doi.org/10.1142/0810	book	May 1990
Dynamical coupled-channel model of meson production reactions in the nucleon resonance region Matsuyama, A.; Sato, T.; Lee, T. -S. H. Physics Reports, Vol. 439, Issue 5-6 https://doi.org/10.1016/j.physrep.2006.12.003	journal	February 2007
Dynamical coupled-channels model of $π N$ scattering in the $W ⩽ 2$ GeV nucleon resonance region Juliá-Díaz, B.; Lee, T. -S. H.; Matsuyama, A. Physical Review C, Vol. 76, Issue 6 https://doi.org/10.1103/PhysRevC.76.065201	journal	December 2007
Analytic properties of the scattering amplitude and resonances parameters in a meson exchange model Döring, M.; Hanhart, C.; Huang, F. Nuclear Physics A, Vol. 829, Issue 3-4 https://doi.org/10.1016/j.nuclphysa.2009.08.010	journal	October 2009
Unified theory of nuclear reactions Feshbach, Herman Annals of Physics, Vol. 5, Issue 4 https://doi.org/10.1016/0003-4916(58)90007-1	journal	December 1958
A unified theory of nuclear reactions. II Feshbach, Herman Annals of Physics, Vol. 19, Issue 2 https://doi.org/10.1016/0003-4916(62)90221-X	journal	August 1962
Effective Interactions for Mesons and Baryons in Nuclei Kobayashi, M.; Sato, T.; Ohtsubo, H. Progress of Theoretical Physics, Vol. 98, Issue 4 https://doi.org/10.1143/PTP.98.927	journal	October 1997
Extraction of resonances from meson-nucleon reactions Suzuki, N.; Sato, T.; Lee, T. -S. H. Physical Review C, Vol. 79, Issue 2 https://doi.org/10.1103/PhysRevC.79.025205	journal	February 2009
Extraction of electromagnetic transition form factors for nucleon resonances within a dynamical coupled-channels model Suzuki, N.; Sato, T.; Lee, T. -S. H. Physical Review C, Vol. 82, Issue 4 https://doi.org/10.1103/PhysRevC.82.045206	journal	October 2010
Chiral perturbation theory: Expansions in the mass of the strange quark Gasser, J.; Leutwyler, H. Nuclear Physics B, Vol. 250, Issue 1-4 https://doi.org/10.1016/0550-3213(85)90492-4	journal	January 1985
Nonlinear realization and hidden local symmetries Bando, Masako; Kugo, Taichiro; Yamawaki, Koichi Physics Reports, Vol. 164, Issue 4-5 https://doi.org/10.1016/0370-1573(88)90019-1	journal	July 1988
The role of resonances in chiral perturbation theory Ecker, G.; Gasser, J.; Pich, A. Nuclear Physics B, Vol. 321, Issue 2 https://doi.org/10.1016/0550-3213(89)90346-5	journal	July 1989
Chiral perturbation theory in the presence of resonances: Application to π π and π K scattering Bernard, Véronique; Kaiser, Norbert; Meiβner, Ulf-G. Nuclear Physics B, Vol. 364, Issue 2 https://doi.org/10.1016/0550-3213(91)90586-M	journal	October 1991
High statistics study of the reaction π−p→π−π+n: Apparatus, method of analysis, and general features of results at 17 GeV/c Grayer, G.; Hyams, B.; Jones, C. Nuclear Physics B, Vol. 75, Issue 2 https://doi.org/10.1016/0550-3213(74)90545-8	journal	June 1974
ππ Phase-shift analysis from 600 to 1900 MeV Hyams, B.; Jones, C.; Weilhammer, P. Nuclear Physics B, Vol. 64 https://doi.org/10.1016/0550-3213(73)90618-4	journal	November 1973
New high statistics measurement of Ke4 decay form factors and ππ scattering phase shifts Batley, J. R.; Culling, A. J.; Kalmus, G. The European Physical Journal C, Vol. 54, Issue 3 https://doi.org/10.1140/epjc/s10052-008-0547-0	journal	February 2008
A model-independent partial-wave analysis of the π+π− system produced at low four-momentum transfer in the reaction π−p ↑ → π+π−n at 17.2 GeV/c Becker, H.; Blanar, G.; Blum, W. Nuclear Physics B, Vol. 151 https://doi.org/10.1016/0550-3213(79)90426-7	journal	January 1979
Resonances in coupled channels in nuclear and particle physics Badalyan, A. M.; Kok, L. P.; Polikarpov, M. I. Physics Reports, Vol. 82, Issue 2 https://doi.org/10.1016/0370-1573(82)90014-X	journal	February 1982
Review of Particle Physics Nakamura, K. Journal of Physics G: Nuclear and Particle Physics, Vol. 37, Issue 7A https://doi.org/10.1088/0954-3899/37/7A/075021	journal	July 2010
Meson-meson interactions in a nonperturbative chiral approach Oller, J. A.; Oset, E.; Peláez, J. R. Physical Review D, Vol. 59, Issue 7 https://doi.org/10.1103/PhysRevD.59.074001	journal	February 1999
Erratum: Meson-meson interactions in a nonperturbative chiral approach [Phys. Rev. D 59, 074001 (1999)] Oller, J. A.; Oset, E.; Peláez, J. R. Physical Review D, Vol. 60, Issue 9 https://doi.org/10.1103/PhysRevD.60.099906	journal	October 1999
Relativistic effects in scalar meson dynamics Kamiński, R.; Leśniak, L.; Maillet, J. -P. Physical Review D, Vol. 50, Issue 5 https://doi.org/10.1103/PhysRevD.50.3145	journal	September 1994
Do Multiquark Hadrons Exist? Weinstein, John; Isgur, Nathan Physical Review Letters, Vol. 48, Issue 10 https://doi.org/10.1103/PhysRevLett.48.659	journal	March 1982
Three-Pion Decays of Unstable Particles Zemach, Charles Physical Review, Vol. 133, Issue 5B https://doi.org/10.1103/PhysRev.133.B1201	journal	March 1964
Determining $γ$ using $B^{\pm} \to {DK}^{\pm}$ with multibody D decays Giri, Anjan; Grossman, Yuval; Soffer, Abner Physical Review D, Vol. 68, Issue 5 https://doi.org/10.1103/PhysRevD.68.054018	journal	September 2003
Feasibility study of model-independent approach to φ3 measurement using Dalitz plot analysis Bondar, A.; Poluektov, A. The European Physical Journal C, Vol. 47, Issue 2 https://doi.org/10.1140/epjc/s2006-02590-x	journal	June 2006
The use of quantum-correlated D0 decays for φ3 measurement Bondar, A.; Poluektov, A. The European Physical Journal C, Vol. 55, Issue 1 https://doi.org/10.1140/epjc/s10052-008-0600-z	journal	April 2008
Meson-exchange model for π N scattering and γ N →π N reaction Sato, T.; Lee, T. -S. H. Physical Review C, Vol. 54, Issue 5 https://doi.org/10.1103/PhysRevC.54.2660	journal	November 1996
Derivation of relativistic three-dimensional formalisms from the Bethe-Salpeter equation Klein, Abraham; Lee, Tsung-Shung H. Physical Review D, Vol. 10, Issue 12 https://doi.org/10.1103/PhysRevD.10.4308	journal	December 1974
A Unified Theory of Nuclear Reactions, II Feshbach, Herman Annals of Physics, Vol. 281, Issue 1-2 https://doi.org/10.1006/aphy.2000.6016	journal	April 2000
Unified Theory of Nuclear Reactions Feshbach, Herman Reviews of Modern Physics, Vol. 36, Issue 4 https://doi.org/10.1103/revmodphys.36.1076	journal	October 1964
Review of Particle Physics Group, Particle Data; Amsler, C.; Doser, M. Elsevier https://doi.org/10.5167/uzh-11249	text	January 2008
Review of Particle Physics Tanabashi, M.; Hagiwara, K.; Hikasa, K. Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2018-03100	text	January 2018
Unified theory of nuclear reactions Adhikari, Sadhan K. Physical Review C, Vol. 27, Issue 6 https://doi.org/10.1103/physrevc.27.2543	journal	June 1983
Review of Particle Physics Beringer, J.; Arguin, J.; Barnett, R. Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/phppubdb-24149	text	January 2012
The use of quantum-correlated D^0 decays for phi3 measurement Bondar, A.; Poluektov, A. arXiv https://doi.org/10.48550/arxiv.0801.0840	text	January 2008
Relativistic Effects in the Scalar Meson Dynamics Kaminski, R.; Lesniak, L.; Maillet, J. -P. arXiv https://doi.org/10.48550/arxiv.hep-ph/9403264	text	January 1994
Meson-Meson interaction in a non-perturbative chiral approach Oller, J. A.; Oset, E.; Pelaez, J. R. arXiv https://doi.org/10.48550/arxiv.hep-ph/9804209	text	January 1998

Cited By (3)

Triangle singularities in ${\bar{B}}^{0} \to χ_{c 1} K^{-} π^{+}$ relevant to $Z_{1} (4050)$ and $Z_{2} (4250)$ Nakamura, Satoshi X. Physical Review D, Vol. 100, Issue 1 https://doi.org/10.1103/physrevd.100.011504	journal	July 2019
Three-body unitarity with isobars revisited Mai, M.; Hu, B.; Döring, M. The European Physical Journal A, Vol. 53, Issue 9 https://doi.org/10.1140/epja/i2017-12368-4	journal	September 2017
The $\gamma p \to na^{+}_{2}(1320) \to n \rho^0 \pi^+$ reactions within an effective Lagrangian approach Huang, Yin; Xie, Ju-Jun; Chen, Xu-Rong International Journal of Modern Physics E, Vol. 23, Issue 06 https://doi.org/10.1142/s0218301314600027	journal	June 2014

Similar Records

Unitary coupled-channels model for three-mesons decays of heavy mesons

Journal Article · Fri Dec 16 00:00:00 EST 2011 · Physical Review. D, Particles, Fields, Gravitation and Cosmology · OSTI ID:1090979

Nakamura, Satoshi X.; Lee, Tsung-Shung H.; Sato, Toru

Meson spectroscopy with unitary coupled-channels model for heavy-meson decay into three mesons

Conference · Sun Apr 01 00:00:00 EDT 2012 · PoS QNP 2012 · OSTI ID:1090979

Nakamura, Satoshi

Meson spectroscopy with unitary coupled-channels model for heavy-meson decay into three mesons

Conference · Mon Oct 01 00:00:00 EDT 2012 · OSTI ID:1090979

Nakamura, Satoshi

Title: Unitary Coupled-Channels Model for Three-Mesons Decays of Heavy Mesons

Citation Formats

References (72)

Cited By (3)

Similar Records

Related Subjects