Doubly charmed baryon mass and wave function through a random walks method

TL;DR

This paper uses a Green Function Monte Carlo method to calculate the mass and wave function of the doubly charmed baryon, achieving results consistent with experimental data and providing new insights into its internal structure.

Contribution

It introduces a Monte Carlo approach to solve the three-body problem for doubly charmed baryons, offering new predictions for their masses and internal configurations.

Findings

Mass of $\\Xi^{++}_{cc}$ matches LHCb measurements.

Wave function simulation suggests a quark-diquark structure.

Predicted mass of $\\Omega_{cc}$ baryon.

Abstract

The mass and the wave function of doubly charmed $\Xi^{++}_{cc}$ (ccu) baryon are evaluated using Green Function Monte Carlo method to solve the three-body problem with Cornell potential. The mass of $\Xi^{++}_{cc}$ with spin $1/2$ is in a good agreement with the LHCb value. Simulation of the wave function by random walks resulted in a configuration of the quark-diquark type. The radius of $\Xi^{++}_{cc}$ is much larger than the size needed for a large isospin splitting. The prediction for the $\Omega_{cc}$ mass is presented.