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Non-$D\bar{D}$ decay $\psppto \rhopi$ is searched for using a data sample of$(17.3\pm 0.5) pb^{-1}$ taken at the center-of-mass energy of 3.773 GeV by theBESII detector at the BEPC. No $\rhopi$ signal is observed, and the upper limitof the cross section is measured to be $\sigma(\EETO \rhopi)<6.0 pb$ at 90% C.L. Considering the interference between the continuum amplitude and the $\pspp$resonance amplitude, the branching fraction of $\pspp$ decays to $\rho\pi$ isdetermined to be $\BR(\pspp\ra\rho\pi)\in(6.0\times10^{-6}, 2.4\times10^{-3})$at 90% C. L. This is in agreement with the prediction of the $S$- and $D$-wavemixing scheme of the charmonium states for solving the ``$\rhopi$ puzzle''between $\jpsi$ and $\psp$ decays.Comment: 15 pages, 5 figure

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

Search for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>ψ</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>3770</mml:mn><mml:mo stretchy="false">)</mml:mo><mml:mo>→</mml:mo><mml:mi>ρ</mml:mi><mml:mi>π</mml:mi></mml:math>at the BESII detector at the Beijing Electron-Positron Collider

Search forψ(3770)→ρπat the BESII detector at the Beijing Electron-Positron Collider