Neutrino-induced coherent $π^{+}$ production in C, CH, Fe and Pb at $\langle E_ν\rangle \sim 6$ GeV

Abstract

MINERvA has measured the $ν_μ$-induced coherent $π^{+}$ cross section simultaneously in hydrocarbon (CH), graphite (C), iron (Fe) and lead (Pb) targets using neutrinos from 2 to 20 GeV. The measurements exceed the predictions of the Rein-Sehgal and Berger-Sehgal PCAC based models at multi-GeV $ν_μ$ energies and at produced $π^{+}$ energies and angles, $E_π>1$ GeV and $θ_π<10^{\circ}$. Measurements of the cross-section ratios of Fe and Pb relative to CH reveal the effective $A$-scaling to increase from an approximate $A^{1/3}$ scaling at few GeV to an $A^{2/3}$ scaling for $E_ν>10$ GeV.

8 pages, 6 figures and 60 pages of supplemental material. Updated to accepted version, with ancillary files of the cross section data