Relativistic model of 2p-2h meson exchange currents in (anti)neutrino scattering

Abstract

We develop a model of relativistic, charged meson-exchange currents (MEC) for neutrino-nucleus interactions. The two-body current is the sum of seagull, pion-in-flight, pion-pole and $\Delta$-pole operators. These operators are obtained from the weak pion-production amplitudes for the nucleon derived in the non-linear $\sigma$-model together with weak excitation of the $\Delta (1232)$ resonance and its subsequent decay into $N\pi$. With these currents we compute the five 2p-2h response functions contributing to $({\nu }_l,l^{-})$ and $({\overline{\nu }}_l,l^{+})$ reactions in the relativistic Fermi gas model. The total current is the sum of vector and axial two-body currents. The vector current is related to the electromagnetic MEC operator that contributes to electron scattering. This allows one to check our model by comparison with the results of De Pace {\em et al.,} Nuclear Physics A 726 (2003) 303. Thus our model is a natural extension of that model to the weak sector with the addition of the axial MEC operator. The dependences of the response functions on several ingredients of the approach are analyzed. Specifically we discuss relativistic effects, quantify the size of the direct-exchange interferences, and the relative importance of the axial versus vector current.

17 pages, 11 figures

References in corpus (16)

• First Measurement of the Muon Neutrino Charged Current Quasielastic Double Differential Cross Section
• Inclusive quasi-elastic electron-nucleus scattering
• Weak Pion Production off the Nucleon
• Charged-current neutrino-nucleus reactions within the SuSAv2-MEC approach
• Meson-exchange currents and quasielastic neutrino cross sections in the SuperScaling Approximation model
• Extensions of Superscaling from Relativistic Mean Field Theory: the SuSAv2 Model
• Inclusive electron scattering within the SuSAv2-MEC approach
• Meson-exchange currents and quasielastic predictions for charged-current neutrino-12C scattering in the superscaling approach
• Measurement of muon plus proton final states in ${\nu }_{\mu }$ Interactions on Hydrocarbon at $⟨$$E_{\nu }$$⟩$ = 4.2 GeV
• Measurement of the inclusive ${\nu }_{\mu }$ charged current cross section on iron and hydrocarbon in the T2K on-axis neutrino beam
• Relativistic effects in two-particle emission for electron and neutrino reactions
• Emission of neutron-proton and proton-proton pairs in neutrino scattering
• Angular distribution in two-particle emission induced by neutrinos and electrons
• Effect of the $2p2h$ cross-section uncertainties on an analysis of neutrino oscillations
• The frozen nucleon approximation in two-particle two-hole response functions
• The Intermediate Neutrino Program

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• Charged-current quasielastic neutrino scattering from ${}^{12}$C in an extended superscaling model with two-nucleon emission
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• Inclusive Neutrino and Antineutrino Scattering on the ${}^{12}$C Nucleus Within the Coherent Density Fluctuation Model
• Status and challenges of neutrino cross sections
• Scaling Properties of Two-Particle-Two-Hole Responses in Asymmetric Nuclei for Neutrino Scattering within the Relativistic Mean-Field Framework
• Measurement of muon neutrino induced charged current interactions without charged pions in the final state using a new T2K off-axis near detector WAGASCI-BabyMIND