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

Utilizing comprehensive experimental data on charmed mesons, we systematically investigate masses of the higher radial and orbital excitations of the D and Dₛ 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 Dₛ states. However, anomalous resonances such as Dₛ₀(2317) and Dₛ₁(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: D₂(2740)⁰, D^*₃(2750), D₀(2550)⁰, D^*₁(2600)⁰, D₁^*(2760)⁰, D^*J(3000), DJ(3000), D^*₂(3000), D^*ₛ₁(2860)± and D^*ₛ₃(2860)±.Additionally, the resonance DsJ(3040)⁺ is identified as a $2P$ excitation with spin-parity quantum numbers JP = 1⁺. Extending our model, we also calculate the mass spectra of doubly charmed Ξcc and Ωcc 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.