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.

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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${}^2$