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: $D_2(2740)^{0}$, $D^*_3(2750)$, $D_0(2550)^{0}$, $D^*_1(2600)^{0}$, $D_1^*(2760)^0$, $D^*_J(3000)$, $D_J(3000)$, $D^*_2(3000)$, $D^*_{s1}(2860)^{\pm}$ and $D^*_{s3}(2860)^{\pm}$.Additionally, the resonance $D_{sJ}(3040)^+$ is identified as a $2P$ excitation with spin-parity quantum numbers $J^P = 1^+$. 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.