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Report No.
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Study of $$e^{+}e^{-}toetaphi$$ via initial state radiation at Belle

Zhu, W. J.*; Tanida, Kiyoshi   ; Belle Collaboration*; 174 of others*

Using $$980~fb^{-1}$$ of data collected on and around the $$Upsilon(nS)(n=1,2,3,4,5)$$ resonances with the Belle detector at the KEKB collider, we measure the cross section of $$e^{+}e^{-}to etaphi$$ from threshold to $$3.95~{rm GeV}/c^{2}$$ via initial-state radiation. From a multi-parameter fit assuming $$phi(2170)$$ exists in the $$etaphi$$ final state according to previous measurement by BESIII, the resonant parameters of $$phi(1680)$$ are determined to be $$m_{phi(1680)} = (1683 pm 7 pm 9)~{rm MeV}/c^{2}$$ (statistical and systematic errors, respectively), $$Gamma_{phi(1680)} = (149 pm 12 pm 13)~{rm MeV}$$ and, depending on the possible presence of interfering resonances, $$Gamma^{e^{+}e^{-}}_{phi(1680)}cdot {cal B}[phi(1680)toetaphi] = (122 pm 6 pm 13)~{rm eV}$$, $$(219 pm 15 pm 18)~{rm eV}$$, $$(163 pm 11 pm 13)~{rm eV}$$ or $$(203 pm 12 pm 18)~{rm eV}$$. The branching fraction of $$phi(1680)toetaphi$$ decay is determined to be approximately 20%. Additionally, the branching fraction for $$J/psitoetaphi$$ is measured to be $$(7.1pm 1.0 pm 0.5)times 10^{-4}$$. However, there is no significant observed $$phi(2170)$$ signal in the $$etaphi$$ final states in this analysis, and correspondingly the upper limit for $$Gamma^{e^{+}e^{-}}_{phi(2170)}cdot {cal B}(phi(2170)toetaphi)$$ is determined to be either $$0.17~{rm eV}$$ (for two fits), or $$18.6~{rm eV}$$ (remaining two fits), at 90% confidence level.

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