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The processes $\etacpto \rho^{0}\rho^{0}$, $K^{*0}\bar{K}^{*0}$, and $\phi\phi$ are searched for using a sample of $1.06 \times 10^8$ $\psip$ events collected with the BESIII detector at the BEPCII collider.
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The amplitudes and phases for H+, H0, and H- are 1.0, 0.0, 0.0, 0.0, -1.0, 0.0, which are calculated by requring of P P -parity conservation for the allowed components of helicity amplitudes
Cited in the paper.
The π + π − \pi^{+}\pi^{-} recoil mass is defined as M π + π − recoil = ( E ψ ′ − E π + − E π − ) 2 − ( p → ψ ′ − p → π + − p → π − ) 2 M_{\pi^{+}\pi^{-}}^{\rm recoil}=\sqrt{(E_{\psi^{\prime}}-E_{\pi^{+}}-E_{\pi^{-}})^{2}-(\overrightarrow{p}_{\psi^{\prime}}-\overrightarrow{p}_{\pi^{+}}-\overrightarrow{p}_{\pi^{-}})^{2}} , where E E and p → \overrightarrow{p} are energy and momentum for a particle
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The Novosibirsk function is defined as f ( m E S ) = A S exp ( − 0.5 ln 2 [ 1 + Λ τ ⋅ ( m E S − m 0 ) ] / τ 2 + τ 2 ) f(m_{ES})=A_{S}\exp(-0.5{\ln^{2}[1+\Lambda\tau\cdot(m_{ES}-m_{0})]/\tau^{2}+\tau^{2}}) , where Λ = sinh ( τ ln 4 ) / ( σ τ ln 4 ) \Lambda=\sinh(\tau\sqrt{\ln 4})/(\sigma\tau\sqrt{\ln 4}) , the peak position is m 0 m_{0} , the width is σ \sigma , and τ \tau is the tail parameter
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V. V. Anashin et al. , arXiv:1012.1694
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By averaging measurements listed by the PDG [ 14 ] and recent results from BaBar and Belle, we determine the mass M η c ′ = 3637.7 ± 1.3 MeV / c 2 M_{\eta_{c}^{\prime}}=3637.7\pm 1.3~\mathrm{MeV}/c^{2} , and the width Γ η c ′ = 10.4 ± 4.2 MeV \Gamma_{\eta_{c}^{\prime}}=10.4\pm 4.2~\mathrm{MeV}
Cited in the paper.