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

The mass and the wave function of doubly charmed ${\mathrm{\Xi }}_{cc}^{++}$ (ccu) baryon are evaluated using Green Function Monte Carlo method to solve the three-body problem with Cornell potential. The mass of ${\mathrm{\Xi }}_{cc}^{++}$ with spin $1\mathrm{/}2$ 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 ${\mathrm{\Xi }}_{cc}^{++}$ is much larger than the size needed for a large isospin splitting. The prediction for the ${\mathrm{\Omega }}_{cc}$ mass is presented.