Speaker
Description
In this work, we discuss the mass spectra and decays of doubly heavy $\Xi$ baryons in the framework of a non-relativistic quark model. We consider a baryon with two heavy quarks including $\Xi_{ccd}$, $\Xi_{ccu}$, $\Xi_{bbd}$, $\Xi_{bbu}$, $\Xi_{bcd}$ and $\Xi_{bcu}$. We find the wave functions, eigenenergies and mass spectra of the system under investigation by solving the hyperradial Schr\"odinger equation for three particles interacting with the hypercentral quark potential. The numerical results of our study are presented for the ground state masses, radial and orbital excited states masses of the doubly heavy $\Xi$ baryons. Due to the lack of experimental data, the numerical results provided by our calculations are compared with other relevant theoretical works. The magnetic moments of these baryons are also calculated. The calculation of the transition magnetic moments is then used to obtain the radiative decay widths for these baryons. Using a particular form of the universal Isgur-Wise function, the semileptonic decay widths and branching ratio of the doubly heavy $\Xi$ baryons are calculated and compared with other theoretical investigations. The Regge trajectories of the systems under investigation are plotted in both $(n_r, M^2)$ and $(J, M^2)$ planes.
