Modeling quasielastic interactions of monoenergetic kaon decay-at-rest neutrinos

Abstract

Monoenergetic muon neutrinos at 236 MeV are readily produced in intense medium-energy proton facilities ($\gtrsim$2-3~GeV) when a positive kaon decays at rest (KDAR; $K^{+}\to {\mu }^{+}{\nu }_{\mu }$). These neutrinos provide a unique opportunity to both study the neutrino interaction and probe the nucleus with a monoenergetic weak-interaction-only tool. We present cross section calculations for quasielastic scattering of these 236~MeV neutrinos off ${}^{12}$C and ${}^{40}$Ar, paying special attention to low-energy aspects of the scattering process. Our model takes the description of the nucleus in a mean-field (MF) approach as the starting point, where we solve Hartree-Fock (HF) equations using a Skyrme type nucleon-nucleon interaction. Thereby, we introduce long-range nuclear correlations by means of a continuum random phase approximation (CRPA) framework where we solve the CRPA equations using a Green's function method. The model successfully describes ($e,e^{\prime }$) data on ${}^{12}$C and ${}^{40}$Ca in the kinematic region that overlaps with the KDAR ${\nu }_{\mu }$ phase space. In addition to these results, we present future prospects for precision KDAR cross section measurements and applications of our calculations in current and future experiments that will utilize these neutrinos.

References in corpus (59)

• The GENIE Neutrino Monte Carlo Generator
• Significant Excess of ElectronLike Events in the MiniBooNE Short-Baseline Neutrino Experiment
• Design and Construction of the MicroBooNE Detector
• First Measurement of the Muon Neutrino Charged Current Quasielastic Double Differential Cross Section
• A unified approach for nucleon knock-out, coherent and incoherent pion production in neutrino interactions with nuclei
• The nuance Neutrino Simulation, and the Future
• The Neutrino Flux prediction at MiniBooNE
• NuSTEC White Paper: Status and Challenges of Neutrino-Nucleus Scattering
• A Proposal for a Three Detector Short-Baseline Neutrino Oscillation Program in the Fermilab Booster Neutrino Beam
• The NuMI Neutrino Beam
• Measurements of neutrino oscillation in appearance and disappearance channels by the T2K experiment with 6.6E20 protons on target
• Inclusive Quasi-Elastic Charged-Current Neutrino-Nucleus Reactions
• Final State Interactions Effects in Neutrino-Nucleus Interactions
• Updated MiniBooNE Neutrino Oscillation Results with Increased Data and New Background Studies
• Neutrino quasielastic interaction and nuclear dynamics
• Differences in Quasi-Elastic Cross-Sections of Muon and Electron Neutrinos
• Neutrino Energy Reconstruction and the Shape of the CCQE-like Total Cross Section
• Extended Superscaling of Electron Scattering from Nuclei
• Neutrino energy reconstruction problems and neutrino oscillations
• Improving the accuracy of neutrino energy reconstruction in charged-current quasielastic scattering off nuclear targets
• Approximate Treatment of Lepton Distortion in Charged-Current Neutrino Scattering from Nuclei
• Low-energy excitations and quasielastic contribution to electron-nucleus and neutrino-nucleus scattering in the continuum random phase approximation
• Many-Body Interactions of Neutrinos with Nuclei - Observables
• Neutrino-nucleus cross section within the extended factorization scheme
• Electron-neutrino scattering off nuclei from two different theoretical perspectives
• Neutrino-nucleus scattering reexamined: Quasielastic scattering and pion production entanglement and implications for neutrino energy reconstruction
• Coherent elastic neutrino-nucleus scattering on 40Ar from first principles
• Nuclear effects in electron- and neutrino-nucleus scattering within a relativistic quantum mechanical framework
• First Measurement of Differential Charged Current Quasielastic-like ${\nu }_{\mu }$-Argon Scattering Cross Sections with the MicroBooNE Detector
• Relativistic Effects in the Electromagnetic Current at GeV Energies
• Influence of short-range correlations in neutrino-nucleus scattering
• Impact of low-energy nuclear excitations on neutrino-nucleus scattering at MiniBooNE and T2K kinematics
• In medium dispersion relation effects in nuclear inclusive reactions at intermediate and low energies
• Ab initio study of $({\mathbf{\nu }}_{\mathbf{\ell }},{\mathbf{\ell }}^{-})$ and $({\overline{\mathbf{\nu }}}_{\mathbf{\ell }},{\mathbf{\ell }}^{+})$ inclusive scattering in ${}^{12}$C: confronting the MiniBooNE and T2K CCQE data
• Constraints in modeling the quasielastic response in inclusive lepton-nucleus scattering
• First Measurement of Monoenergetic Muon Neutrino Charged Current Interactions
• Electron versus muon neutrino induced cross sections in charged current quasi-elastic processes
• Seagull and pion-in-flight currents in neutrino-induced $1N$ and $2N$ knockout
• Identifying neutrinos and antineutrinos in neutral-current scattering reactions
• Technical Design Report (TDR): Searching for a Sterile Neutrino at J-PARC MLF (E56, JSNS2)
• Electroweak probes of ground state densities
• Dark Matter Searches for Monoenergetic Neutrinos Arising from Stopped Meson Decay in the Sun
• Electroweak pion-production on nuclei within the extended factorization scheme
• Reconstructing supernova-neutrino spectra using low-energy beta-beams
• Semi-inclusive charged-current neutrino-nucleus reactions
• Quasielastic contribution to antineutrino-nucleus scattering
• Effect of the charged-lepton's mass on the quasielastic neutrino cross sections
• A Sterile Neutrino Search with Kaon Decay-at-rest
• Forbidden transitions in neutral and charged current interactions between low-energy neutrinos and Argon
• Cross Section Measurements with Monoenergetic Muon Neutrinos
• $A$-dependence of quasielastic charged-current neutrino-nucleus cross sections
• A Decisive Disappearance Search at High-$\Delta m^2$ with Monoenergetic Muon Neutrinos
• Measurement of the cross section for the reaction 127I(neutrino,electron)127Xe_(bound states) with neutrinos from the decay of stopped muons
• Low-energy neutrino scattering in experiment and astrophysics
• Neutrino-nucleus cross sections in ${}^{12}C$ and ${}^{40}Ar$ with KDAR neutrinos
• Rapid-Cycling Synchrotron for Multi-Megawatt Proton Facility at Fermilab
• Prospects of Measuring Oscillated Decay-at-Rest Neutrinos at Long Baselines
• Performance of PMTs for the JSNS2 experiment
• Slow control and monitoring system at the JSNS${}^2$

Cited by in corpus (11)

• Implementation of the CRPA model in the GENIE event generator and analysis of nuclear effects in low-energy transfer neutrino-nucleus interactions
• First Measurement of Missing Energy Due to Nuclear Effects in Monoenergetic Neutrino Charged Current Interactions
• Inelastic nuclear scattering from neutrinos and dark matter
• Cross sections for coherent elastic and inelastic neutrino-nucleus scattering
• Investigation of the MicroBooNE neutrino cross sections on Argon
• LEvEL: Low-Energy Neutrino Experiment at the LHC
• A substandard candle: the low-$\nu$ method at few-GeV neutrino energies
• Searching for axions with kaon decay at rest
• Monte Carlo study of KDAR ${\nu }_{\mu }$ charged-current scattering on carbon
• Nuclear medium effects in neutrino- and antineutrino-nucleus scattering
• Relativistic distorted-wave analysis of the missing-energy spectrum measured with monochromatic ${\nu }_{\mu }$-${}^{12}$C interactions at JSNS${}^2$