Abstract
In this work we study the $\mathrm{\ensuremath{\Sigma}}\ensuremath{\pi}$ and $\mathrm{\ensuremath{\Lambda}}\ensuremath{\pi}$ production off free nucleons driven by the strangeness-changing weak charged current. We calculate the total cross sections for all possible channels and estimate the flux-averaged total cross sections for experiments like MiniBooNE, SciBooNE, T2K, and Minerva. The model is based on the lowest order effective SU(3) chiral Lagrangians in the presence of an external weak charged current and contains Born and the lowest-lying decuplet resonant mechanisms that can contribute to these reaction channels. We also compare and discuss our results with others following similar and very different approaches.
Highlights
The neutrino and antineutrino-nucleus cross sections are necessary inputs for the analyses of the neutrino scattering and oscillation experiments [1,2,3,4,5]
In order to understand the dynamics of the reaction channels, we show the contribution due to individual diagrams of Figs 1(a) and 1(b), wherever applicable
For all other channels under consideration, we find that the interferences are important and reduce the total cross section compared with the incoherent sum of the singled-out contributions
Summary
The neutrino and antineutrino-nucleus cross sections are necessary inputs for the analyses of the neutrino scattering and oscillation experiments [1,2,3,4,5]. The kind of reactions studied in this work can only be induced by antineutrinos, due to the selection rule for the strangeness-changing weak charged current, ΔS 1⁄4. Though the present work centered around strangeness changing pion production, the hyperon produced in the final state holds an added advantage. Of Σþ particles in reactions taking place off nuclear targets is due to the final-state interactions (FSI) or re-scattering experienced by the other hyperons inside the nucleus [67,69,70]. In the inelasticðΔS 1⁄4 −1Þ channel, Σþ can be produced in primary antineutrino interaction off protons(for a complete list of final states, please see Sec. II), which is expected to be dominant source of Σþ production below the KY threshold.
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