Mass spectra and wave functions of the doubly heavy baryons with JP=1+ heavy diquark cores

Mass spectra and wave functions of the doubly heavy baryons are computed assuming that the two heavy quarks inside a baryon form a compact heavy ‘diquark core’ in a color anti-triplet, and bind with the remaining light quark into a colorless baryon. The two reduced two-body problems are described by the relativistic Bethe-Salpeter equations (BSEs) with the relevant QCD inspired kernels. We focus on the doubly heavy baryons with \begin{document}$1^+$\end{document} heavy diquark cores. After solving BSEs in the instantaneous approximation, we present the mass spectra and the relativistic wave functions of the diquark cores, and of the low-lying baryon states \begin{document}$J^P=\frac{1}{2}^+$\end{document} and \begin{document}$\frac{3}{2}^+$\end{document} with flavors \begin{document}$(ccq)$\end{document} , \begin{document}$(bcq)$\end{document} and \begin{document}$(bbq)$\end{document} . A comparison with other approaches is also made.