Application of the Veneziano model to the analysis of three pion charmonium decays

Szczepaniak, Adam P.; Pennington, M. R.

doi:10.1016/j.physletb.2014.08.060

Title: Application of the Veneziano model to the analysis of three pion charmonium decays

Journal Article · Wed Oct 01 00:00:00 EDT 2014 · Physics Letters B

DOI:https://doi.org/10.1016/j.physletb.2014.08.060· OSTI ID:1197717

Szczepaniak, Adam P.; Pennington, M. R.

In this study, we adapt the Veneziano model to the analysis of vector charmonium decays. Starting from a set of covariant Veneziano terms we show how to construct partial waves amplitudes that receive contributions from selected Regge trajectories. The amplitudes, nevertheless retain the proper asymptotic limit. This arises from duality between directly produced resonances and cross-channel Reggeons and in practical applications helps remove uncertainties in the parametrization of backgrounds.

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:: FG0287ER40365; AC05-06OR23177; FG02-87ER40365

OSTI ID:: 1197717

Alternate ID(s):: OSTI ID: 1154721

Report Number(s):: JLAB-THY-14-1911; DOE/OR/23177-3161; arXiv:1403.5782; S0370269314006376; PII: S0370269314006376

Journal Information:: Physics Letters B, Journal Name: Physics Letters B Vol. 737 Journal Issue: C; ISSN 0370-2693

Publisher:: ElsevierCopyright Statement

Country of Publication:: Netherlands

Language:: English

Citation Metrics:

Cited by: 15 works

Citation information provided by
Web of Science

References (26)

Intrinsic Charm of Vector Mesons: A Possible Solution of the “ $ρ π$ Puzzle'' Brodsky, Stanley J.; Karliner, Marek Physical Review Letters, Vol. 78, Issue 25 https://doi.org/10.1103/PhysRevLett.78.4682	journal	June 1997
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
Identification of non-ordinary mesons from the dispersive connection between their poles and their Regge trajectories: 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" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:msub><mml:mrow><mml:mi>f</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mn>500</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math> resonance Londergan, J. T.; Nebreda, J.; Pelaez, J. R. Physics Letters B, Vol. 729 https://doi.org/10.1016/j.physletb.2013.12.061	journal	February 2014
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
Heavy Quarks and $e^{+} e^{-}$ Annihilation Appelquist, Thomas; Politzer, H. David Physical Review Letters, Vol. 34, Issue 1 https://doi.org/10.1103/PhysRevLett.34.43	journal	January 1975
Measurement of $ψ (3097)$ and $ψ^{'} (3686)$ Decays into Selected Hadronic Modes Franklin, M. E. B.; Feldman, G. J.; Abrams, G. S. Physical Review Letters, Vol. 51, Issue 11 https://doi.org/10.1103/PhysRevLett.51.963	journal	September 1983
Crossing-Symmetric Rising Regge Trajectories Chu, Shu-Yuan; Epstein, Gary; Kaus, Peter Physical Review, Vol. 175, Issue 5 https://doi.org/10.1103/PhysRev.175.2098	journal	November 1968
Construction of a crossing-simmetric, Regge-behaved amplitude for linearly rising trajectories Veneziano, G. Il Nuovo Cimento A, Vol. 57, Issue 1 https://doi.org/10.1007/BF02824451	journal	September 1968
Review of Particle Physics Beringer, J.; Arguin, J. -F.; Barnett, R. M. Physical Review D, Vol. 86, Issue 1 https://doi.org/10.1103/PhysRevD.86.010001	journal	July 2012
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
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
A novel application of Regge trajectories Lovelace, C. Physics Letters B, Vol. 28, Issue 4 https://doi.org/10.1016/0370-2693(68)90255-4	journal	December 1968
Partial wave analysis of <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>ψ</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>→</mml:mo><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:msup><mml:mi>π</mml:mi><mml:mn>0</mml:mn></mml:msup></mml:math> at BESII Ablikim, M.; Bai, J. Z.; Ban, Y. Physics Letters B, Vol. 619, Issue 3-4 https://doi.org/10.1016/j.physletb.2005.05.038	journal	July 2005
Exclusive charmonium decays: The J/ψ (ψ’)→ρπ, $K^{/ e m p h > K ¯}$ puzzle Brodsky, Stanley J.; Lepage, G. Peter; Tuan, S. F. Physical Review Letters, Vol. 59, Issue 6 https://doi.org/10.1103/PhysRevLett.59.621	journal	August 1987
Observation of 1 − 0 − Final States from ψ ( 2 S ) Decays and e + e − Annihilation Adam, N. E.; Alexander, J. P.; Berkelman, K. Physical Review Letters, Vol. 94, Issue 1 https://doi.org/10.1103/PhysRevLett.94.012005	journal	January 2005
Rising Meson Trajectories Epstein, G.; Kaus, P. Physical Review, Vol. 166, Issue 5 https://doi.org/10.1103/PhysRev.166.1633	journal	February 1968
Duality and final-state interaction in the description of $$\bar p$$ n → π+π−π− at rest Pokorski, S.; Raitio, R. O.; Thomas, G. H. Il Nuovo Cimento A, Vol. 7, Issue 4 https://doi.org/10.1007/BF02728813	journal	February 1972
An Explanation for the $ρ - π$ Puzzle of $J / ψ$ and $ψ^{'}$ Decays Chen, Yu-Qi; Braaten, Eric Physical Review Letters, Vol. 80, Issue 23 https://doi.org/10.1103/PhysRevLett.80.5060	journal	June 1998
The $e^{+} e^{-} \to 2 (π^{+} π^{-}) π^{0}$ , $2 (π^{+} π^{-}) η$ , $K^{+} K^{-} π^{+} π^{-} π^{0}$ and $K^{+} K^{-} π^{+} π^{-} η$ cross sections measured with initial-state radiation Aubert, B.; Bona, M.; Boutigny, D. Physical Review D, Vol. 76, Issue 9 https://doi.org/10.1103/PhysRevD.76.092005	journal	November 2007
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
Review of Recent Work on Narrow Resonance Models Sivers, Dennis; Yellin, Joel Reviews of Modern Physics, Vol. 43, Issue 2 https://doi.org/10.1103/RevModPhys.43.125	journal	April 1971
Dalitz-Plot Analysis Including Duality Altarelli, Guido; Rubinstein, Hector R. Physical Review, Vol. 183, Issue 5 https://doi.org/10.1103/PhysRev.183.1469	journal	July 1969
Precision measurement of the branching fractions of <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:mi>J</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:mi>ψ</mml:mi><mml:mo>→</mml:mo><mml:msup><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup><mml:msup><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup><mml:msup><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:math> and <mml:math altimg="si2.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:mrow><mml:mi>ψ</mml:mi></mml:mrow><mml:mrow><mml:mo>′</mml:mo></mml:mrow></mml:msup><mml:mo>→</mml:mo><mml:msup><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup><mml:msup><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup><mml:msup><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:math> Ablikim, M.; Achasov, M. N.; Alberto, D. Physics Letters B, Vol. 710, Issue 4-5 https://doi.org/10.1016/j.physletb.2012.03.036	journal	April 2012
Regge theory for multiparticle amplitudes Brower, R. C.; DeTar, C. E.; Weis, J. H. Physics Reports, Vol. 14, Issue 6 https://doi.org/10.1016/0370-1573(74)90012-X	journal	December 1974
Possible hadronic excess in ψ(2 S ) decay and the ρπ puzzle Suzuki, Mahiko Physical Review D, Vol. 63, Issue 5 https://doi.org/10.1103/PhysRevD.63.054021	journal	February 2001
Dual Amplitudes with Mandelstam Analyticity Bugrij, A. I.; Cohen-Tannoudji, G.; Jenkovszky, L. L. Fortschritte der Physik, Vol. 21, Issue 9 https://doi.org/10.1002/prop.19730210902	journal	January 1973

Similar Records

Are there any sister trajectories in the Veneziano model

Journal Article · Wed Mar 01 00:00:00 EST 1978 · Sov. J. Nucl. Phys. (Engl. Transl.); (United States) · OSTI ID:1197717

Kudryavtsev, V A

Veneziano variations: how unique are string amplitudes?

Journal Article · Mon Jan 23 00:00:00 EST 2023 · Journal of High Energy Physics (Online) · OSTI ID:1197717

Cheung, Clifford; Remmen, Grant N.

Planar bootstrap without the dual-tree approximation

Journal Article · Mon Aug 01 00:00:00 EDT 1977 · Phys. Rev., D; (United States) · OSTI ID:1197717

Balazs, L A.P.

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Title: Application of the Veneziano model to the analysis of three pion charmonium decays

Citation Formats

References (26)

Similar Records

Related Subjects