Charmed baryon pair production in proton-antiproton collisions in effective Lagrangian and Regge approaches

Strange and charmed baryon pair productions in proton-antiproton collisions are studied in the effective Lagrangian and Regge approaches. Unknown parameters of both models are determined from the comparison with the existing data for strangeness productions. Then, we predict charm production cross sections by extrapolating the amplitudes for strangeness productions to those for charm. As a result, the total cross sections are about $$10^{-4}$$ to $$10^{-5}$$ times smaller than those of strangeness productions, depending on the final states. By using the known total cross sections for strangeness, $$\sim 10^{2} \upmu \mathrm{b}$$ for $$\varLambda {\bar{\varLambda }}$$ and, $$\sim 10^{1} \upmu \mathrm{b}$$ for $$\varSigma {\bar{\varLambda }}$$, the total cross sections for charm productions are predicted to be $$\sim 10^{-2} \upmu \mathrm{b}$$ for $$\varLambda _{c} {\bar{\varLambda }}_c$$, $$\sim 10^{-3} \upmu \mathrm{b}$$ for $$\varSigma _{c} {\bar{\varLambda }}_c$$, and $$\sim 10^{-4} \upmu \mathrm{b}$$ for $$\varSigma _{c} {\bar{\varSigma }}_c$$. Our results can be tested in the future experiments at $$\bar{\text {P}}$$ANDA