The frozen nucleon approximation in two-particle two-hole response functions

Abstract

We present a fast and efficient method to compute the inclusive two-particle two-hole (2p-2h) electroweak responses in the neutrino and electron quasielastic inclusive cross sections. The method is based on two approximations. The first neglects the motion of the two initial nucleons below the Fermi momentum, which are considered to be at rest. This approximation, which is reasonable for high values of the momentum transfer, turns out also to be quite good for moderate values of the momentum transfer $q\gtrsim k_F$. The second approximation involves using in the "frozen" meson-exchange currents (MEC) an effective $\Delta$-propagator averaged over the Fermi sea. Within the resulting "frozen nucleon approximation", the inclusive 2p-2h responses are accurately calculated with only a one-dimensional integral over the emission angle of one of the final nucleons, thus drastically simplifying the calculation and reducing the computational time. The latter makes this method especially well-suited for implementation in Monte Carlo neutrino event generators.

8 pages, 5 figures and 1 table

References in corpus (13)

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• Meson-exchange currents and quasielastic neutrino cross sections in the SuperScaling Approximation model
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• Seagull and pion-in-flight currents in neutrino-induced $1N$ and $2N$ knockout
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Cited by in corpus (12)

• NuSTEC White Paper: Status and Challenges of Neutrino-Nucleus Scattering
• Relativistic model of 2p-2h meson exchange currents in (anti)neutrino scattering
• Neutrino-nucleus cross section within the extended factorization scheme
• Electron- versus neutrino-nucleus scattering
• A realistic spectral function model for charged-current quasielastic-like neutrino and antineutrino cross sections on ${}^{12}$C
• Meson-exchange currents and superscaling analysis with relativistic effective mass of quasielastic electron scattering from ${}^{12}$C
• Density dependence of 2p-2h meson-exchange currents
• Semiempirical formula for electroweak response functions in the two-nucleon emission channel in neutrino-nucleus scattering
• Two-nucleon emission in neutrino and electron scattering from nuclei: the modified convolution approximation
• Quasi-elastic neutrino charged-current scattering off ${}^{12}$C: effects of the meson exchange currents and large nucleon axial mass
• Multinucleon excitations in neutrino-nucleus scattering: connecting different microscopic models for the correlations
• Neutrino-Nucleus scattering in the SuSA model