Study of $J/\psi$ and $\psi (3686)$ decays to ${\pi }^{+}{\pi }^{-}{\eta }^{\prime }$

Abstract

Using the data samples of $1.31\times 10^9$ $J/\psi$ events and $4.48\times 10^8$ $\psi (3686)$ events collected with the BESIII detector, partial wave analyses on the decays $J/\psi$ and $\psi (3686)\to {\pi }^{+}{\pi }^{-}{\eta }^{\prime }$ are performed with a relativistic covariant tensor amplitude approach. The dominant contribution is found to be $J/\psi$ and $\psi (3686)$ decays to $\rho {\eta }^{\prime }$. In the $J/\psi$ decay, the branching fraction $\mathcal{B}(J/\psi \to \rho {\eta }^{\prime })$ is determined to be $(7.90\pm 0.19(\mathrm{stat})\pm 0.49(\mathrm{sys}))\times 10^{-5}$. Two solutions are found in the $\psi (3686)$ decay, and the corresponding branching fraction $\mathcal{B}(\psi (3686)\to \rho {\eta }^{\prime })$ is $(1.02\pm 0.11(\mathrm{stat})\pm 0.24(\mathrm{sys}))\times 10^{-5}$ for the case of constructive interference, and $(5.69\pm 1.28(\mathrm{stat})\pm 2.36(\mathrm{sys}))\times 10^{-6}$ for destructive interference. As a consequence, the ratios of branching fractions between $\psi (3686)$ and $J/\psi$ decays to $\rho {\eta }^{\prime }$ are calculated to be $(12.9\pm 1.4(\mathrm{stat})\pm 3.1(\mathrm{sys}))$\% and $(7.2\pm 1.6(\mathrm{stat})\pm 3.0(\mathrm{sys}))$\%, respectively. We also determine the inclusive branching fractions of $J/\psi$ and $\psi (3686)$ decays to ${\pi }^{+}{\pi }^{-}{\eta }^{\prime }$ to be $(1.36\pm 0.02(\mathrm{stat})\pm 0.08(\mathrm{sys}))\times 10^{-4}$ and $(1.51\pm 0.14(\mathrm{stat})\pm 0.23(\mathrm{sys}))\times 10^{-5}$, respectively.

arXiv comment13 pages, 5 figures, 6 tables

References in corpus (17)

• Design and Construction of the BESIII Detector
• The Precision Monte Carlo Event Generator KK For Two-Fermion Final States In e+e- Collisions
• Coherent Exclusive Exponentiation For Precision Monte Carlo Calculations
• Precise Measurement of the e+ e- --> pi+ pi- (gamma) Cross Section with the Initial-State Radiation Method at BABAR
• Search for hadronic transition ${\chi }_{cJ}\to {\eta }_c{\pi }^{+}{\pi }^{-}$ and observation of ${\chi }_{cJ}\to K\bar{K}\pi \pi \pi$
• Dalitz Analysis of the Decay $D^0\to K^{-}{\pi }^{+}{\pi }^0$
• Determination of the number of $J/\psi$ events with inclusive $J/\psi$ decays
• Determination of the number of ${\psi }^{\prime }$ event at BESIII
• A mathematical review on the multiple-solution problem
• Open charm effects in the explanation of the long-standing "$\rho \pi$ puzzle"
• Trigger efficiencies at BES III
• Search for a light exotic particle in J/psi radiative decays
• Study of the electromagnetic transitions $J/\psi \to P{l}^{+}{l}^{-}$ and probe dark photon
• Measurement of the final states $\omega {\pi }^0$, $\rho \eta$, and $\rho {\eta }^{{}^{\prime }}$ from $\psip$ electromagnetic decays and $\ee$ annihilations
• Observation of Electromagnetic Dalitz decays J/ψ\to P e^+e^-
• Amplitude analysis of $D^0\to K^{-}{\pi }^{+}{\pi }^{+}{\pi }^{-}$
• Amplitude Analysis of the $D^{+}\to K_S^0{\pi }^{+}{\pi }^0$ Dalitz Plot

Cited by in corpus (12)

• Measurement of $\mathcal{B}(J/\psi \to {\eta }^{\prime }{e}^{+}{e}^{-}$) and search for a dark photon
• Observation of the Singly Cabibbo-Suppressed Decay ${\Lambda }_c^{+}\to n{\pi }^{+}$
• Observation and study of the decay $J/\psi \to \varphi \eta {\eta }^{\prime }$
• Gluonic nature of the newly observed state $X(2600)$
• Search for the decay ${\eta }^{\prime }\to \gamma \gamma \eta$
• Measurement of the absolute branching fraction of the singly Cabibbo suppressed decay ${\Lambda }_c^{+}\to p{\eta }^{\prime }$
• Search for the rare decay ${\eta }^{\prime }\to {\pi }^0{\pi }^0{\pi }^0{\pi }^0$ at BESIII
• Measurement of the absolute branching fraction of the three-body decay ${\Lambda }_c^{+}\to {\Xi }^0{K}^{+}{\pi }^0$ and search for ${\Lambda }_c^{+}\to n{K}^{+}{\pi }^0$, ${\Sigma }^0{K}^{+}{\pi }^0$ and $\Lambda K^{+}{\pi }^0$
• Observation of the decays ${\chi }_{cJ}\to \varphi \varphi \eta$
• Observation of the Singly Cabibbo-Suppressed Decay ${\Lambda }_c^{+}\to {\Sigma }^{-}{K}^{+}{\pi }^{+}$
• Search for intermediate resonances and dark gauge bosons in $J/\psi \to \gamma {\pi }^0{\eta }^{\prime }$
• Study of $f_1(1420)$ and $\eta (1405)$ in the decay $J/\psi \to \gamma {\pi }^0{\pi }^0{\pi }^0$