Abstract
In this review, we have studied the quasielastic production cross sections and polarization components of $\Lambda$, $\Sigma^0$ and $\Sigma^-$ hyperons induced by the weak charged currents in the antineutrino reactions on the nucleon and the nuclear targets like $^{12}$C, $^{16}$O, $^{40}$Ar and $^{208}$Pb. It is shown that the energy and the $Q^2$ dependence of the cross sections and the various polarization components can be effectively used to determine the axial vector transition form factors in the strangeness sector and test the validity of various symmetry properties of the weak hadronic currents like G-invariance, T-invariance and SU(3) symmetry. In particular, the energy and the $Q^2$ dependence of the polarization components of the hyperons is found to be sensitive enough to determine the presence of the second class current with or without T-invariance. These hyperons decay dominantly into pions giving an additional contribution to the weak pion production induced by the antineutrinos. This contribution is shown to be quantitatively significant as compared to the pion production by the $\Delta$ excitation in the nuclear targets in the sub-GeV energy region relevant for the $\bar{\nu}_\mu$ cross section measurements in the oscillation experiments. We have also included a few new results, based on our earlier works, which are in the kinematic region of the present and future (anti)neutrino experiments being done with the accelerator (anti)neutrinos at T2K, MicroBooNE, MiniBooNE, NO$\nu$A, MINER$\nu$A and DUNE, as well as for the atmospheric (anti)neutrino experiments in this energy region.
Highlights
A simultaneous knowledge of the neutrino and antineutrino cross sections in the same energy region for the nuclear targets is highly desirable in order to understand the systematics relevant for the analyses of various neutrino oscillation experiments being done in search of CP violation in the leptonic sector and in the determination of neutrino mass hierarchy [1,2,3,4,5,6,7]
Keeping in mind the present and futureneutrino experiments being done with the acceleratorneutrinos at T2K, MicroBooNE, MiniBooNE, NOνA, MINERνA and DUNE, as well as the atmosphericneutrino experiments being planned in this energy region, we have presented some new results on the pion production in the kinematic region of these experiments based on the formalism discussed here in brief in sections 2 and 3
We have presented a review of the theoretical and experimental work done on the quasielatic production of hyperons induced by antineutrinos which was started more than 50 years ago soon after the V − A theory of weak interactions was extended to the strangeness sector by Cabibbo [41] using SU(3) symmetry properties of the weak hadronic currents
Summary
A simultaneous knowledge of the neutrino and antineutrino cross sections in the same energy region for the nuclear targets is highly desirable in order to understand the systematics relevant for the analyses of various neutrino oscillation experiments being done in search of CP violation in the leptonic sector and in the determination of neutrino mass hierarchy [1,2,3,4,5,6,7]. There exists quite a few calculations for the antineutrino-nucleus cross sections and some of them have been incorporated in most of the neutrino event generators like GENIE [13], NEUT [14], NuWro [15] and GiBUU [16]. In this energy region of antineutrinos, Eνμ ≈ 0.5 − 1.2 GeV, the most important processes. Weak Pion Production Through Hyperons contributing to the nuclear cross sections are the quasielastic (QE) scattering and the inelastic scattering where the excitation of resonance is the dominant process contributing to the single pion production (CC1π). There is some contribution from the excitation of higher resonances and very little contribution from the deep inelastic scattering (DIS) [17,18,19,20,21]
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