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The process $e^+e^-\rightarrow p\overline{p}\pi^0$ has been studied byanalyzing data collected at $\sqrt{s}=3.773$ GeV, at $\sqrt{s}=3.650$ GeV, andduring a $\psi(3770)$ line shape scan with the BESIII detector at the BEPCIIcollider. The Born cross section of $p \overline{p} \pi^0$ in the vicinity ofthe $\psi(3770)$ is measured and the Born cross section of$\psi(3770)\rightarrow p \overline{p} \pi^0$ is extracted consideringinterference between resonant and continuum production amplitudes. Twosolutions with the same probability and a significance of 1.5$\sigma$ arefound, and the Born cross section of $\psi(3770)\rightarrow p \overline{p}\pi^0$ is determined to be less than 0.22 pb at 90% confidence level and$33.8\pm1.8\pm2.1$ pb, respectively. Using the estimated cross section and aconstant decay amplitude approximation, the cross section $\sigma(p\overline{p}\rightarrow \psi(3770) \pi^0)$ is calculated for the kinematic situation of theplanned $\overline{\text{P}}\text{ANDA}$ experiment. The maximum cross sectioncorresponding to the two solutions is expected to be less than $0.79$ nb at 90%confidence level and $122\pm10$ nb at a center of mass energy of 5.26 GeV.

Study of e$^+$e$^-$ $\rightarrow \text{p} \overline{\text{p}}\pi^0$ in the Vicinity of the $\psi\text{(3770)}$