A perturbative QCD approach to $\pi^- p \rightarrow D^- \Lambda_c^+$

Abstract

We employ the generalized parton picture to analyze the reaction $\pi^- p \rightarrow D^- \Lambda_c^+$. Thereby it is assumed that the process amplitude factorizes into one for the perturbatively calculable subprocess $\bar{u}\ u\rightarrow \bar{c}\ c$ and hadronic matrix elements that can be parameterized in terms of generalized parton distributions for the $\pi^-\rightarrow D^-$ and $p\rightarrow \Lambda_c^+$ transitions, respectively. Representing these parton distributions in terms of valence-quark light-cone wave functions for $\pi$, $D$, $p$ and $\Lambda_c$ allows us to make numerical predictions for unpolarized differential and integrated cross sections as well as spin observables. In the kinematical region where this approach is supposed to work, i.e. $s\gtrsim 20$~GeV$^2$ and in the forward hemisphere, the resulting cross sections are of the order of nb. This is a finding that could be of interest in view of plans to measure $\pi^- p \rightarrow D^- \Lambda_c^+$, e.g., at J-PARC or COMPASS.