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We observe an obvious anomalous line-shape of the $e^+e^- \to {\rm hadrons}$total cross sections in the energy region between 3.700 and 3.872 GeV from thedata samples taken with the BES-II detector at the BEPC Collider. Re-analysisof the data shows that it is inconsistent with the explanation for only onesimple $\psi(3770)$ resonance with a statistical significance of $7\sigma$. Theanomalous line-shape may be explained by two possible enhancements of theinclusive hadron production near the center-of-mass energies of 3.764 GeV and3.779 GeV, indicating that either there is likely a new structure in additionto the $\psi(3770)$ resonance around 3.773 GeV, or there are some physicseffects reflecting the $D\bar D$ production dynamics.

Anomalous Line-Shape of Cross Sections for $e^+e^- \to {\rm Hadrons}$ in the Center-of-Mass Energy Region between 3.650 and 3.872 GeV