Relativistic Flux Tube Model Predictions from Charmed Mesons to Double-Charmed Baryons

Abstract: Utilizing comprehensive experimental data on charmed mesons, we systematically investigate masses of the higher radial and orbital excitations of the $D$ and $D_s$ meson families using the relativistic flux tube model. Our study employs mass splitting induced by spin-dependent interactions within the j-j coupling scheme. Our predicted masses align well with the experimental measurements for the well-established $D$ and $D_s$ states. However, anomalous resonances such as $D_{s0}(2317)$ and $D_{s1}(2460)$ do not align with conventional meson states within our theoretical framework. Based on our reliable mass predictions for low-lying states, we propose spectroscopic assignments for several recently observed high-mass resonances: $D_2(2740)<sup>{0}$, $D<sup>*_3(2750)$, $D_0(2550)<sup>{0}$, $D<sup>*_1(2600)<sup>{0}$, $D_1<sup>*(2760)<sup>0$, $D<sup>*_J(3000)$, $D_J(3000)$, $D<sup>*_2(3000)$, $D<sup>*_{s1}(2860)<sup>{\pm}$ and $D<sup>*_{s3}(2860)<sup>{\pm}$.Additionally, the resonance $D_{sJ}(3040)<sup>+$ is identified as a $2P$ excitation with spin-parity quantum numbers $J^P = 1<sup>+$. Extending our model, we also calculate the mass spectra of doubly charmed $\Xi_{cc}$ and $\Omega_{cc}$ baryons within the heavy-diquark-light-quark picture. These theoretical predictions provide crucial guidance for ongoing and future experimental searches for higher radial and orbital excitations in the charmed meson and doubly charmed baryon sectors.