Abstract

Cross-section estimates are presented for strangeness-changing charged-current reactions ${\ensuremath{\nu}}_{\ensuremath{\mu}}N\ensuremath{\rightarrow}\ensuremath{\mu}Y\ensuremath{\pi}$, ${\ensuremath{\nu}}_{\ensuremath{\mu}}N\ensuremath{\rightarrow}\ensuremath{\mu}\mathrm{NK}$, ${\overline{\ensuremath{\nu}}}_{\ensuremath{\mu}}N\ensuremath{\rightarrow}{\ensuremath{\mu}}^{+}Y\ensuremath{\pi}$, and ${\overline{\ensuremath{\nu}}}_{\ensuremath{\mu}}N\ensuremath{\rightarrow}{\ensuremath{\mu}}^{+}\mathrm{NK}$. The reactions are considered within the Cabibbo theory with the current belonging to an octet of SU(3). The calculations are performed using Born approximations for a range of neutrino energies which cover both the Argonne and the Fermilab spectra. We find the flux-averaged cross section for ${K}^{+}p$ final state to be in rough agreement with the value indicated by the Fermilab data.

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