Abstract
The charged current Cabibbo-supressed associated $K \Xi$ production off the nucleon induced by anti-neutrinos is studied at low and intermediate energies. The non-resonant terms are obtained using a microscopical model based on the SU(3) chiral Lagrangian. The basic parameters of the model are $f_\pi$, the pion decay constant, Cabibbo's angle, the proton and neutron magnetic moments and the axial vector coupling constants for the baryons octet, D and F, that are obtained from the analysis of the semileptonic decays of neutron and hyperons. In addition, we also consider $\Sigma^\ast(1385)$ resonance, which can decay in $K \Xi$ final state when this channel is open. The studied mechanism is the prime source of $\Xi$ production at anti-neutrino energies around $2$ GeV and the calculated cross sections at these energies can be measured at the current and future neutrino experiments.
Highlights
With the recent advancements in the experimental facilities, it is possible to test several reactions which were recently considered not to be observable
One should note that if we compare our result(s) for inclusive kaon production with ΔS 1⁄4 0 mechanisms we find that the cross section for K0 and Kþ are about 3 and 6 percent of the corresponding ΔS 1⁄4 0 processes, respectively
To check the validity of our model for the analyzed antineutrino energy range of this work, we examine the dependence on the invariant mass W
Summary
With the recent advancements in the experimental facilities, it is possible to test several reactions which were recently considered not to be observable. Very little or no information is available about these resonances and their transition form factors, both from experimental as well as theoretical sides In view of this we have considered the lowest lying strange resonance, ΣÃð1385Þ, and estimate the effects of this in the present model. The first channel that could produce Ξ particles in final state proceeds through charged current jΔSj 1⁄4 1 mechanism and the reactions are νμ þ p → μþ þ Kþ þ Ξ−. In the resonance sector we have considered in this work the lowest lying resonance with strange quantum number S 1⁄4 −1, namely the YÃ 1⁄4 ΣÃð1385Þ This resonance state has been previously considered for jΔSj 1⁄4 1 antikaon production off nucleons [19]. We first describe our model for NRB followed by the implementation of ΣÃð1385Þ resonance
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