The Status of $\Xi_{cc}^{++}$ Baryon: investigating quark-diquark model

Abstract

Inspired by the discovery of the doubly-charmed and doubly-charged $\Xi_{cc}^{++}$ baryon, in this present work, we investigate spin-1/2 and spin-3/2 mass spectra and magnetic moments of $ccu$ baryon in quark-diquark model with a nonrelativistic potential. In the quark-diquark picture, the three-body problem of the $ccu$ baryon is reduced to the two-body bound state problem. We obtained ground and radially excited mass spectra and magnetic moments of the ground state. Ground state mass spectra agree well with the results in the literature, especially with lattice QCD computations. Predictions for the magnetic moment are compatible with the literature. According to our results, $cu$ diquark clustering in the $\Xi_{cc}^{++}$ baryon is more favorable than the $cc$ diquark clustering.