$K^0\Lambda$ and $D^{-}{\Lambda }_c^{+}$ production induced by pion beams off the nucleon

Abstract

We present a comparative study of the pion induced production of $K^0\Lambda$ and $D^{-}{\Lambda }_c^{+}$ off the nucleon. A hybrid framework is utilized by combining an effective Lagrangian method with a Regge approach. We consider the $t$-channel process in a plannar diagram by vector-meson Reggeon exchanges and the $u$-channel one in a non-planar diagram by baryon Reggeon exchanges. The present model reproduces the $K^0\Lambda$ production data well with a few parameters. Having fixed them, we predict the $D^{-}{\Lambda }_c^{+}$ production, which turns out to be about $10^4-10^6$ times smaller than the strangeness one, depending on the kinematical regions.

Comments: 13 pages, 8 figures