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

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.

Comments: 5 pages, no figures; v4: the title, the abstract and the introduction are replaced, list of references enlarged, misprints corrected