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This paper describes an improved parameterization for proton-berylliumproduction of secondary $K^{+}$ mesons for experiments with primary protonbeams from 8.89 to 24 GeV. The parameterization is based on Feynman scaling inwhich the invariant cross section is described as a function of $x_{F}$ and$p_{T}$. This method is theoretically motivated and provides a betterdescription of the energy dependence of kaon production at low beam energiesthan other parameterizations such as the commonly used "Modified Sanford-Wang"model. This Feynman scaling parameterization has been used for the simulationof the neutrino flux from the Booster Neutrino Beam (BNB) at Fermilab and hasbeen shown to agree with the neutrino interaction data from the SciBooNEexperiment. This parameterization will also be useful for future neutrinoexperiments with low primary beam energies, such as those planned for theProject X accelerator.

Improved Parameterization of $K^+$ Production in p-Be Collisions at Low Energy Using Feynman Scaling