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Physical Review D

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

Peng Guo¹, Ryan Mitchell¹, Matthew Shepherd¹, and Adam P. Szczepaniak^1,2

¹Physics Department, Indiana University, Bloomington, Indiana 47405, USA
²Center For Exploration of Energy and Matter, Indiana University, Bloomington, Indiana 47408, USA

Phys. Rev. D 85, 056003 – Published 13 March, 2012

DOI: https://doi.org/10.1103/PhysRevD.85.056003

Abstract

We construct an analytical model for two-channel, two-body scattering amplitudes, and then apply it in the description of the three-body $J / ψ \to K^{+} K^{-} π^{0}$ decay. In the construction of the partial wave amplitudes, we combine the low-energy resonance region with the Regge asymptotic behavior determined from direct two-body production. We find that resonance production in the $K π$ channel in $J / ψ$ decays seems to differ from that observed in direct $K π$ production, while the mass distribution in the $K \bar{K}$ channel may be compatible.

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References (26)

B. Diekmann, Phys. Rep. 159, 99 (1988).
B. Hyams, C. Jones, and P. Weilhammer, Nucl. Phys. B64, 134 (1973).
D. Aston et al., Phys. Lett. 92B, 215 (1980).
D. Bisello et al., Phys. Lett. B 220, 321 (1989).
A. Donnachie and H. Mirzaie, Z. Phys. C 33, 407 (1987).
J. J. Dudek, R. G. Edwards, M. J. Peardon, D. G. Richards, and C. E. Thomas, Phys. Rev. D 82, 034508 (2010).
S. Godfrey and N. Isgur, Phys. Rev. D 32, 189 (1985).
K. Nakamura et al. (Particle Data Group), J. Phys. G 37, 075021 (2010).
N. N. Achasov and A. A. Kozhevnikov, Phys. At. Nucl. 60, 1011 (1997).
N. N. Achasov and A. A. Kozhevnikov, Phys. At. Nucl. 65, 153 (2002).
P. Guo, R. Mitchell, and A. P. Szczepaniak, Phys. Rev. D 82, 094002 (2010).
M. Ablikim et al. (BES Collaboration), Phys. Rev. Lett. 97, 142002 (2006).
X. Liu, B. Zhang, L.-L. Shen, and S.-L. Zhu, Phys. Rev. D 75, 074017 (2007).
B. A. Li, Phys. Rev. D 76, 094016 (2007).
A. P. Szczepaniak, P. Guo, M. Battaglieri, and R. De Vita, Phys. Rev. D 82, 036006 (2010).
S. D. Protopopescu et al., Phys. Rev. D 7, 1279 (1973).
P. Estabrooks and A. D. Martin, Nucl. Phys. B79, 301 (1974).
T. N. Pham and T. N. Truong, Phys. Rev. D 16, 896 (1977).
D. Aston et al., Nucl. Phys. B296, 493 (1988).
R. Mercer et al., Nucl. Phys. B32, 381 (1971).
P. Estabrooks et al., Nucl. Phys. B133, 490 (1978).
L. Castillejo, R. H. Dalitz, and F. J. Dyson Phys. Rev. 101, 453 (1956).
J. R. Peláez and F. J. Ynduráin, Phys. Rev. D 69, 114001 (2004).
B. Ananthanarayan, G. Colangelo, J. Gasser, and H. Leutwyler, Phys. Rep. 353, 207 (2001).
J. R. Peláez and F. J. Ynduráin, Phys. Rev. D 71, 074016 (2005).
B. Ananthanarayan, P. Büttiker, and B. Moussallam, Eur. Phys. J. C 22, 133 (2001).