LO and NLO Fragmentation Function of $$ {\Omega}_{\mathrm{cc}}^{+} $$ and $$ {\Omega}_{cc}^{\ast +} $$Baryons in the Quark-Diquark Model

Abstract

The fragmentation function (FF) of $$ {\Omega}_{\mathrm{cc}}^{+} $$ and $$ {\Omega}_{cc}^{\ast +} $$ baryons have been calculated considering the LO and NLO corrections in a quark-diquark model. In this model, the virtual and real corrections have been computed using the dimensional regularisation and Feynman parameters methods. The numerical calculations of the FF at the LO for $$ {\Omega}_{\mathrm{cc}}^{+} $$ and $$ {\Omega}_{cc}^{\ast +} $$ showed that the production probability of $$ {\Omega}_{cc}^{\ast +} $$ was more than that of $$ {\Omega}_{\mathrm{cc}}^{+} $$ . The results also indicated that the total probability fragmentation functions for NLO correction, compared to LO correction, have a few quantitative changes.