A perturbative QCD approach to ${\pi }^{-}p\to D^{-}{\Lambda }_c^{+}$

Abstract

We employ the generalized parton picture to analyze the reaction ${\pi }^{-}p\to D^{-}{\Lambda }_c^{+}$. Thereby it is assumed that the process amplitude factorizes into one for the perturbatively calculable subprocess $\bar{u}u\to \bar{c}c$ and hadronic matrix elements that can be parameterized in terms of generalized parton distributions for the ${\pi }^{-}\to D^{-}$ and $p\to {\Lambda }_c^{+}$ 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 ${\pi }^{-}p\to D^{-}{\Lambda }_c^{+}$, e.g., at J-PARC or COMPASS.

arXiv commentTalk presented by W. Schweiger at "Light Cone 2016", Lisbon, Sep. 5-8, 2016

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