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\Large{\bf Charm production in interactions of antiprotons with proton and nuclei
at ${\bar P}ANDA$ facility
}\
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{\large{\bf R.~Shyam$^1$ and K.~Tsushima$^2$}}
\
{$^1$ Saha Institute of Nuclear Physics, 1/AF Bidhan Nagar, Kolkata 700064, India}
\
{$^2$ Laboratorio de F\'{i}sica Teorica e Computational,
Universidade Cruzeiro do Sul, S\~{a}o Paulo, SP, Brasil
}
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The ${\bar P}ANDA$ experiment at the upcoming Facility for Antiproton and Ion
Research (FAIR) in Heavy ion Research Lab (GSI) at Darmstadt, Germany will
study interactions between antiprotons (${\bar p}$) and fixed target protons
($p$) and nuclei ($A$) in the momentum range of 1.5 - 15 GeV/c. Antiproton
induced reactions are a very effective tool to implant strange and charmed
baryons in nuclei. ${\bar P}ANDA$ will particularly study charmed hypernuclei
which are of great importance for understanding the Charm baryon-nucleon
interaction. These studies are intended to address fundamental questions of QCD
that lie mostly in the nonperturbative regime
We have investigated the production of charmed baryons and mesons in the
antiproton-proton interactions within a fully covariant model that is based
on an effective Lagrangian approach. The charmed baryon proceeds via the
$t$-channel $D^0$ and $D^{*0}$ meson-exchange diagrams, while the charmed meson
reactions are described as a sum of the $t$-channel $\Lambda_c^+$, $\Sigma_c^+$,
$\Sigma_c^{++}$ baryon-exchange diagrams~\cite{shy14,shy16a}. The vertex constants
fixed in these studies have been used to calculate the ${\bar D}D$ production in
the ${\bar p}$-nucleus collisions that are expected to explore the properties of the
charm hadrons in nuclear medium and provide information about their interactions
in the nuclear environment~\cite{shy16b}. We have also investigated the production of
charm-baryon hypernucleus $^{16}_{\Lambda_c^+}$O in the antiproton - $^{16}$O
collisions. 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 $^{16}_{\Lambda_c^+}$O hypernuclear states with simple particle-hole
configurations, have magnitudes in the range of a few $\mu$b/sr~\cite{shy17}.
Thus, it is feasible to perform such experiments at the ${\bar P}ANDA$ facility
even in the beginning stage of the FAIR.
This work has been supported by the Science and Engineering Research Board
(SERB), Department of Science and Technology, Government of India under
Grant no. SB/S2/HEP-024/2013, and by FAPESP, Brazil, under Grants No.~2016/04191-3,
and 2015/17234-0, and CNPq, Brazil under Grants No.~400826/2014-3 and 308088/2015-8.
\begin{thebibliography}{99}
\bibitem{shy14}
R. Shyam and H. Lenske, Phys. Rev. D {\bf 90} (2014) 014017.
\bibitem{shy16a}
R. Shyam and H. Lenske, Phys. Rev. D {\bf 93} (2016) 034016.
\bibitem{shy16b}
R. Shyam and K. Tsushima, Phys. Rev. D. {\bf 94} (2016) 074041.
\bibitem{shy17}
R. Shyam and K. Tsushima, Phys. Lett. {\bf B770} (2017) 236.
\end{thebibliography}
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