arXiv2020
We report a measurement of the observed cross sections of the inclusive $J/ψ$ production in $e^+e^-\rightarrow {J}/ψ{\rm X}$ based on 3.21 fb$^{-1}$ of data accumulated at energies from 3.645 to 3.891 GeV with the BESIII detector operated at the BEPCII collider. The energy-dependent lineshape obtained from the measured cross sections cannot be well described by two Breit-Wigner (BW) amplitudes of the expected decays $ψ(3686)\rightarrow {J}/ψ{\rm X}$ and $ψ(3770)\rightarrow {J}/ψ{\rm X}$. Instead it can be better described with three BW amplitudes of the decays $ψ(3686)\rightarrow {J}/ψ{\rm X}$, $R(3760)\rightarrow {J}/ψ{\rm X}$ and $R(3790)\rightarrow {J}/ψ{\rm X}$ with two distinct structures referred to as $R(3760)$ and $R(3790)$. Under this assumption, we extracted their masses, total widths, and the product of the leptonic width and decay branching fractions to be $M_{R(3760)}= {3761.7\pm 2.2 \pm 1.2}$ MeV/$c^2$, $Γ^{\rm tot}_{R(3760)}= {6.7\pm 11.1 \pm 1.1}$ MeV, $Γ^{ee}_{R(3760)}\mathcal B[R(3760)\rightarrow {J}/ψ{\rm X}]=(4.0\pm 4.3\pm 1.2)$ eV, $M_{R(3790)} = {3784.7\pm 5.7 \pm 1.6}$ MeV/$c^2$, $Γ^{\rm tot}_{R(3790)} = {31.6 \pm 11.9 \pm 3.2}$ MeV, $Γ^{ee}_{R(3790)}\mathcal B[R(3790)\rightarrow {J}/ψ{\rm X}]=(18.1\pm 10.3\pm 4.7)$ eV, where the first uncertainties are statistical and second systematic.