Nuclear binding energy and transverse momentum imbalance in neutrino-nucleus reactions

Abstract

We have measured new observables based on the final state kinematic imbalances in the mesonless production of ${\nu }_{\mu }+A\to {\mu }^{-}+p+X$ in the $\text{MINER}\nu \text{A}$ tracker. Components of the muon-proton momentum imbalances parallel ($\delta p_{\mathrm{Ty}}$) and perpendicular($\delta p_{\mathrm{Tx}}$) to the momentum transfer in the transverse plane are found to be sensitive to the nuclear effects such as Fermi motion, binding energy and non-QE contributions. The QE peak location in $\delta p_{\mathrm{Ty}}$ is particularly sensitive to the binding energy. Differential cross sections are compared to predictions from different neutrino interaction models. The Fermi gas models presented in this study cannot simultaneously describe features such as QE peak location, width and the non-QE events contributing to the signal process. Correcting the GENIE's binding energy implementation according to theory causes better agreement with data. Hints of proton left-right asymmetry are observed in $\delta p_{\mathrm{Tx}}$. Better modeling of the binding energy can reduce bias in neutrino energy reconstruction and these observables can be applied in current and future experiments to better constrain nuclear effects.

14 pages, 12 figures; Added data release file in .root format; added copy of data release file in .root format to ancillary files

References in corpus (3)

• Reanalysis of bubble chamber measurements of muon-neutrino induced single pion production
• Construction of spectral functions for medium nuclei
• Measurement of muon plus proton final states in ${\nu }_{\mu }$ Interactions on Hydrocarbon at $⟨$$E_{\nu }$$⟩$ = 4.2 GeV

Cited by in corpus (27)

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• Double-Differential Inclusive Charged-Current ${\nu }_{\mu }$ Cross Sections on Hydrocarbon in MINERvA at $⟨E_{\nu }⟩\sim$ 3.5 GeV
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• First T2K measurement of transverse kinematic imbalance in the muon-neutrino charged-current single-${\pi }^{+}$ production channel containing at least one proton
• First double-differential measurement of kinematic imbalance in neutrino interactions with the MicroBooNE detector
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• Measurement of inclusive charged-current $ν_{\numu}$ scattering on hydrocarbon at {<Enu>} 6 GeV with low three-momentum transfer
• Exploring Neutrino-Nucleus Interactions in the GeV Regime using MINERvA
• Theoretical description of semi-inclusive T2K, Miner$\nu$A and MicroBooNE neutrino-nucleus data in the relativistic plane wave impulse approximation
• New model comparison for semi-inclusive charged-current electron and muon neutrino scattering by ${}^{40}$Ar in the energy range of the MicroBooNE experiment
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• Implementation of a relativistic distorted wave impulse approximation model into the NEUT event generator
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• Towards a Unified Model of Neutrino-Nucleus Interactions
• Theory of QED radiative corrections to neutrino scattering at accelerator energies
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