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The discovery of $\Xi_{cc}^{++}$ by the LHCb Collaboration triggerspredictions of more doubly charmed baryons. By taking into account both the$P$-wave excitations between the two charm quarks and the scattering of lightpseudoscalar mesons off the ground state doubly charmed baryons, a set ofnegative-parity spin-1/2 doubly charmed baryons are predicted already from aunitarized version of leading order chiral perturbation theory. Moreover,employing heavy antiquark-diquark symmetry the relevant low-energy constants inthe next-to-leading order are connected with those describing lightpseudoscalar mesons scattering off charmed mesons, which have been welldetermined from lattice calculations and experimental data. Our calculationsresult in a spectrum richer than that of heavy mesons. We find two very narrow$J^P=1/2^-$ $\Omega_{cc}^P$, which very likely decay into $\Omega_{cc}\pi^0$breaking isospin symmetry. In the isospin-1/2 $\Xi_{cc}^P$ sector, three statesare predicted to exist below 4.2~GeV with the lowest one being narrow and theother two rather broad. We suggest to search for the $\Xi_{cc}^{P}$ states inthe $\Xi_{cc}^{++}\pi^-$ mode. Searching for them and their analogues arehelpful to establish the hadron spectrum.

New spectrum of negative-parity doubly charmed baryons: Possibility of two quasistable states