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Scaling Properties of Two-Particle-Two-Hole Responses in Asymmetric Nuclei for Neutrino Scattering within the Relativistic Mean-Field Framework

V. L. Martinez-Consentino, J. E. Amaro, J. Segovia

Abstract

We perform a systematic analysis of the nuclear dependence of two-particle-two-hole meson-exchange current contributions to inclusive lepton-nucleus scattering within the relativistic mean-field framework. We present microscopic calculations of nuclear responses for a set of 17 nuclei, ranging from helium to uranium, using a model with different Fermi momenta for protons and neutrons. We propose a novel scaling prescription based on the two-particle phase space and key nuclear parameters. The resulting description is accurate over a wide range of nuclear targets, with typical deviations below 10\%, and allows for a separate treatment of the different emission channels. In addition, a consistent benchmark against electron-scattering data is provided. The parametrization presented provides a practical framework for extending the responses to different nuclear targets in neutrino event generators.

Scaling Properties of Two-Particle-Two-Hole Responses in Asymmetric Nuclei for Neutrino Scattering within the Relativistic Mean-Field Framework

Abstract

We perform a systematic analysis of the nuclear dependence of two-particle-two-hole meson-exchange current contributions to inclusive lepton-nucleus scattering within the relativistic mean-field framework. We present microscopic calculations of nuclear responses for a set of 17 nuclei, ranging from helium to uranium, using a model with different Fermi momenta for protons and neutrons. We propose a novel scaling prescription based on the two-particle phase space and key nuclear parameters. The resulting description is accurate over a wide range of nuclear targets, with typical deviations below 10\%, and allows for a separate treatment of the different emission channels. In addition, a consistent benchmark against electron-scattering data is provided. The parametrization presented provides a practical framework for extending the responses to different nuclear targets in neutrino event generators.
Paper Structure (6 sections, 17 equations, 11 figures, 3 tables)

This paper contains 6 sections, 17 equations, 11 figures, 3 tables.

Table of Contents

  1. Introduction
  2. 2p2h-MEC Formalism
  3. Scaling of 2p2h Responses Relative to Carbon
  4. Factorized Parametrization of the 2p2h Nuclear Response
  5. Conclusions
  6. Transverse electromagnetic response for the $nn$, $np$, and $pp$ channels

Figures (11)

  • Figure 1: Schematic representation of two-particle emission in lepton-nucleus scattering: electron scattering mediated by the exchange of a virtual photon (left) and neutrino scattering mediated by the exchange of a charged $W^{+}$ boson (right).
  • Figure 2: Transverse 2p2h responses for neutrino-induced $np \rightarrow pp$ emission at $q = 500$ MeV/$c$. Solid colored lines correspond to each nucleus, while the dashed black line shows the ${}^{12}$C result. Each panel displays the response rescaled by the factor $\mathcal{R}$ indicated in the figure.
  • Figure 3: Same as Fig. \ref{['fig_nu_pp']}, but for neutrino-induced $nn \rightarrow np$ emission.
  • Figure 4: Response $R^{T'}$ rescaled to carbon for neutrino-induced $np \rightarrow pp$ emission at $q = 500$ MeV/$c$. Solid colored lines correspond to each nucleus, while the dashed black line shows the ${}^{12}$C result. Each panel displays the response rescaled by the factor $\mathcal{R}$ indicated in the figure.
  • Figure 5: Same as Fig. \ref{['fig_nu_pp_tp']}, but for neutrino-induced $nn \rightarrow np$ emission.
  • ...and 6 more figures