Chiral Lagrangians for spin-1/2 and spin-3/2 doubly charmed baryons

The relativistic chiral Lagrangians for both spin-1/2 and spin-3/2 doubly charmed baryons are constructed up to the order O (p⁴). From O (p²) to O (p⁴), there are 19, 74, and 452 independent terms in the two-flavor case and 25, 112, and 864 independent terms in the three-flavor case. The chiral Lagrangians in the heavy diquark limit are also obtained. From O (p²) to O (p⁴), there are 7, 23, and 118 independent terms in the two-flavor case and 8, 31, and 189 independent terms in the three-flavor case. We present the low-energy constant relations between the relativistic case and the case in the heavy diquark limit up to the order O (p³). With the heavy diquark-antiquark symmetry, the low-energy constant relations between the doubly charmed baryon case and the heavy-light meson case are also obtained up to the order O (p³).