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The interactions between the spin-$1/2$ doubly charmed baryons andNambu-Goldstone bosons are analyzed within a manifestly relativistic baryonchiral perturbation theory up to next-to-next-to leading order, by using theso-called extended-on-mass-shell scheme. We utilize heavy diquark-antiquarksymmetry to estimate the low-energy constants in the chiral effectiveLagrangians. The $S$- and $P$-wave scattering lengths are predicted. We findthat those diagrams, vanishing exactly in the heavy-quark limit, do contributeslightly to the $S$-wave scattering lengths in reality. The influence of thespin-$3/2$ doubly charmed baryons, as heavy-quark spin partners of thespin-$1/2$ ones, on the scattering lengths is discussed as well. Finally,$S$-wave phase shifts for elastic scattering processes are presented in theenergy region near threshold. Our results in this work will not only be veryuseful for performing chiral extrapolations of future lattice QCD data, butalso provide us chiral inputs for the investigation of the spectroscopy ofdoubly heavy baryons.

One-loop analysis of the interactions between doubly charmed baryons and Nambu-Goldstone bosons