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Forward single $\pi^0$ production by coherent neutral-current interactions,$\nu \mathcal{A} \to \nu \mathcal{A} \pi^0$, is investigated using a 2.8$\times10^{20}$ protons-on-target exposure of the MINOS Near Detector. Forsingle-shower topologies, the event distribution in production angle exhibits aclear excess above the estimated background at very forward angles for visibleenergy in the range~1-8 GeV. Cross sections are obtained for the detectormedium comprised of 80% iron and 20% carbon nuclei with $\langle \mathcal{A}\rangle = 48$, the highest-$\langle \mathcal{A} \rangle$ target used to date inthe study of this coherent reaction. The total cross section for coherentneutral-current single-$\pi^0$ production initiated by the $\nu_\mu$ flux ofthe NuMI low-energy beam with mean (mode) $E_{\nu}$ of 4.9 GeV (3.0 GeV), is$77.6\pm5.0\,(\text{stat})^{+15.0}_{-16.8}\,(\text{syst})\times10^{-40}\,\text{cm}^2~\text{per nucleus}$.The results are in good agreement with predictions of the Berger-Sehgal model.

Measurement of single $\pi^0$ production by coherent neutral-current $\nu$ Fe interactions in the MINOS Near Detector