Diffractive neutrino-production of pions on nuclei: Adler relation within the color-dipole description

Abstract

Effects of coherence in neutrino-production of pions off nuclei are studied employing the color dipole representation and path integral technique. If the nucleus remains intact, the process is controlled by the interplay of two length scales. One is related to the pion mass and is quite long (at low Q^2), while the other, associated with heavy axial-vector states, is much shorter. The Adler relation is found to be broken at all energies, but especially strongly at ν> 10 GeV, where the cross section is suppressed by a factor ~A^{-1/3}. On the contrary, in a process where the recoil nucleus breaks up into fragments, the Adler relation turns out to be strongly broken at low energies, where the cross section is enhanced by a factor ~A^{1/3}, but has a reasonable accuracy at higher energies, where all the coherence length scales become long.

9 pages, 5 figures

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Cited by in corpus (7)

• Photon emission in neutral current interactions at intermediate energies
• Flavor structure of generalized parton distributions from neutrino experiments
• Measurement of single ${\pi }^0$ production by coherent neutral-current $\nu$ Fe interactions in the MINOS Near Detector
• Measurement of Neutrino-Induced Neutral-Current Coherent ${\pi }^0$ Production in the NOvA Near Detector
• Simultaneous measurement of muon neutrino ${\nu }_{\mu }$ charged-current single ${\pi }^{+}$ production in CH, C, H${}_2$O, Fe, and Pb targets in MINERvA
• Measurement of the ${\nu }_e-$Nucleus Charged-Current Double-Differential Cross Section at $⟨E_{\nu }⟩=$ 2.4 GeV using NOvA
• Neutrino-induced coherent ${\pi }^{+}$ production in C, CH, Fe and Pb at $⟨E_{\nu }⟩\sim 6$ GeV