Production of single-charmed baryons in a quark model approach

The production of single-charmed baryons ${\mathrm{\Lambda }}_c^{+}{\mathrm{\Lambda }}_c^{-}$, ${\mathrm{\Lambda }}_c^{+}{\mathrm{\Sigma }}_c^{-}$+h.c. and ${\mathrm{\Sigma }}_c^{+}{\mathrm{\Sigma }}_c^{-}$ in $p\bar{p}$ collisions is studied in the framework of a constituent quark model which has satisfactorily described the $N\bar{N}$ system and the strangeness production $p\bar{p}\to \mathrm{\Lambda }\bar{\mathrm{\Lambda }}$, $\mathrm{\Lambda }\bar{\mathrm{\Sigma }}$ and $\mathrm{\Sigma }\bar{\mathrm{\Sigma }}$ processes. Predictions on the total cross sections are analyzed for different approaches to the underlying $n\bar{n}\to c\bar{c}$ process, mediated by one gluon annihilation diagrams. The results indicate that the cross section is of the order of $1$ nb between $10-14$ GeV for ${\mathrm{\Lambda }}_c^{+}{\mathrm{\Lambda }}_c^{-}$ and ${\mathrm{\Lambda }}_c^{+}{\mathrm{\Sigma }}_c^{-}$ channels, and around $0.01-0.1$ nb for ${\mathrm{\Sigma }}_c^{+}{\mathrm{\Sigma }}_c^{-}$. This estimations can be relevant for their future search in facilities like $\bar{P}$ANDA.