\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."> Mass spectra and wave functions of the doubly heavy baryons with <i>J</i><i><sup>P</sup></i>=1<sup>+</sup> heavy diquark cores -
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