First estimate of producing the charmed baryon ${\Lambda }_c(2880)$ at PANDA

Abstract

In the present work we explore the production potential of ${\Lambda }_c(2880{)}^{+}$ at PANDA. With the $J^P={\frac{5}{2}}^{+}$ assignment to ${\Lambda }_c(2880{)}^{+}$, we calculate the differential and total cross sections of $p\bar{p}\to {\Lambda }_c^{-}{\Lambda }_c(2880{)}^{+}$. We also perform the Dalitz plot analysis and give the $p{D}^0$ invariant mass spectrum distribution of the process $p\bar{p}\to {\Lambda }_c^{-}p{D}^0$, where the signal and background contributions are considered. Our numerical results indicate that the production of ${\Lambda }_c(2880{)}^{+}$ may reach up to about 20 $\mu$b. About $10^7$ events from the reconstruction of $p{D}^0$ can be accumulated per day, if taking the designed luminosity ($2\times 10^{32}\text{mbox}{cm}^{-2}\text{mbox}{s}^{-1}$) of PANDA.

Comments: 7 pages, 9 figures. More discussion added. Accepted by Phys. Rev. D