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 Dₒ₀ (2317) and Dₒ₁ (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^*ₒ₁ (2860) ^ and D^*ₒ₃ (2860) ^. Additionally, the resonance Dₒ₉ (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 Ξ₂₂ and Ω₂₂ 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.
Jakhad et al. (Mon,) studied this question.
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