Inclusive and pion production neutrino-nucleus cross sections

We analyze the experimental data on the inclusive double-differential cross section by neutrinos charged current, measured by T2K, with the same model which was successful for the MiniBooNE quasielastic cross sections. As in our previous analysis the multinucleon component is needed in order to reproduce the data. For the total cross section, our evaluation is smaller than the SciBooNE data above 1 GeV. This indicates the opening of a new channel not included in our evaluation, presumably the two-pion-emission channel. We also check that our description holds for the exclusive single-pion-production channel by confronting our evaluation with the MiniBooNE double-differential cross section for a single charged pion and the $Q^2$ distribution. Both are compatible with the data.

Figure 1

T2K flux-averaged inclusive CC double-differential cross section on carbon per nucleon as a function of muon momentum. The different contributions to this inclusive cross section obtained in our model are shown. The experimental T2K points are taken from Ref. [7].

Figure 2

Inclusive CC cross section on carbon per nucleon as a function of neutrino energy. The experimental SciBooNE points are taken from Ref. [4].

Figure 3

Total photoabsorbtion cross section for free proton as a function of photon energy measured at GRAAL 2008. The points are taken from Ref. [29]. The one-pion production and two-pion production contributions are separately plotted.

Figure 4

MiniBooNE flux-averaged CC 1 ${\pi }^{+}{\nu }_{\mu }-{\mathrm{CH}}_2$ double-differential cross section for several values of muon kinetic energy as a function of the muon scattering angle. The experimental MiniBooNE points with the shape uncertainty are taken from Ref. [5].

Figure 5

MiniBooNE flux-averaged CC 1 ${\pi }^{+}{\nu }_{\mu }-{\mathrm{CH}}_2$ differential cross section as a function of muon kinetic energy. The experimental MiniBooNE points are taken from Ref. [5].

Figure 6

MiniBooNE flux-averaged CC 1 ${\pi }^{+}{\nu }_{\mu }\mathrm{-CH}{}_2{Q}^2$ distribution. The coherent channel is separately shown. The experimental MiniBooNE points are taken from Ref. [5].

Figure 7

CC 1 ${\pi }^{+}{\nu }_{\mu }-{\mathrm{CH}}_2$ total cross section as a function of the neutrino energy compared to the experimental MiniBooNE results [5]. Single-pion production on proton as well as ANL [39] and BNL [40] results are also given.

Figure 8

MiniBooNE flux-averaged CC 1 ${\pi }^{+}{\nu }_{\mu }-{\mathrm{CH}}_2$ double-differential cross section for $0.95<cos\theta <1$ as a function of the muon kinetic energy. The coherent channel is separately shown. The experimental MiniBooNE points are taken from Ref. [5].

Figure 9

Diagrammatic representation of the coherent-pion-production process. The wiggly line represents the external probe with the spin-longitudinal coupling. Double lines correspond to the propagation of a $\Delta$, solid lines correspond to the propagation of a nucleon hole, dotted lines correspond to the $\Delta$-hole interaction, and the dashed line represents the pion.