Production of ${\Lambda }_c^{+}$ hypernuclei in antiproton - nucleus collisions

Abstract

We investigate the production of charm-baryon hypernucleus ${}_{{\Lambda }_c^{+}}^{16}$O in the antiproton - ${}^{16}$O collisions within a fully covariant model that is based on an effective Lagrangian approach. The explicit ${\bar{\Lambda }}_c^{-}{\Lambda }_c^{+}$ production vertex is described by the $t$-channel $D^0$ and $D^{\ast 0}$ meson-exchanges in the initial collision of the incident antiproton with one of the protons of the target nucleus. The ${\Lambda }_c^{+}$ bound state spinors as well as the self-energies of the exchanged mesons employed in our calculations are derived from the quark-meson coupling model. The parameters of various vertices are taken to be the same as those used in our previous study of the elementary $\bar{p}+p\to {\bar{\Lambda }}_c^{-}+{\Lambda }_c^{+}$ reaction. We find that for antiproton beam momenta of interest to the $\bar{P}ANDA$ experiment, the 0${}^{\circ }$ differential cross sections for the formation of ${}_{{\Lambda }_c^{+}}^{16}$O hypernuclear states with simple particle-hole configurations, have magnitudes in the range of a few $\mu$b/sr.

Comments: 17 pages, 5 figures, Journal print version