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

TL;DR

This paper investigates the mass spectra and magnetic moments of the $ ext{Xi}_{cc}^{++}$ baryon using a quark-diquark model, providing predictions consistent with existing lattice QCD results and suggesting a preferred diquark clustering.

Contribution

It introduces a nonrelativistic quark-diquark model to analyze the $ ext{Xi}_{cc}^{++}$ baryon, offering new predictions for its properties and insights into its internal structure.

Findings

Ground state mass spectra agree with lattice QCD.

Magnetic moment predictions align with literature.

Cu diquark clustering is more favorable than cc clustering.

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.