Strong Decays of the Orbitally Excited Scalar $D_0^{\ast }$ Mesons

Abstract

We calculate the two-body strong decays of the orbitally excited scalar mesons $D_0^{\ast }(2400)$ and $D_J^{\ast }(3000)$ by using the relativistic Bethe-Salpeter (BS) method. $D_J^{\ast }(3000)$ was observed recently by the LHCb Collaboration, the quantum number of which has not been determined yet. In this paper, we assume that it is the $0^{+}(2P)$ state and obtain the transition amplitude by using the PCAC relation, low-energy theorem and effective Lagrangian method. For the $1P$ state, the total widths of $D_0^{\ast }(2400{)}^0$ and $D_0^{\ast }(2400{)}^{+}$ are 226 MeV and 246 MeV, respectively. With the assumption of $0^{+}(2P)$ state, the widths of $D_J^{\ast }(3000{)}^0$ and $D_J^{\ast }(3000{)}^{+}$ are both about 131 MeV, which is close to the present experimental data. Therefore, $D_J^{\ast }(3000)$ is a strong candidate for the $2^3{P}_0$ state.

arXiv comment21 pages, 10 figures

References in corpus (25)

• Higher Charmonia
• A review of the open charm and open bottom systems
• Excited Heavy-Light Systems and Hadronic Transitions
• Heavy-light meson spectroscopy and Regge trajectories in the relativistic quark model
• Dynamics and Decay of Heavy-Light Hadrons
• Decay Constants of Heavy Vector Mesons in Relativistic Bethe-Salpeter Method
• Strong decays of heavy-light mesons in a chiral quark model
• Higher radial and orbital excitations in the charmed meson family
• Properties of the Charmed P-wave Mesons
• Strong decays of newly observed $D_{sJ}$ states in a constituent quark model with effective Lagrangians
• Quark-antiquark potential with retardation and radiative contributions and the heavy quarkonium mass spectra
• Annihilation Rate of $2^{++}$ Charmonium and Bottomonium
• Understanding the charmed states recently observed by the LHCb and BaBar Collaborations in the quark model
• Is $D_{sJ}^{+}(2632)$ the first radial excitation of $D_s^{\ast }(2112)$?
• Mixing angle between ${}^3{P}_1$ and ${}^1{P}_1$ in HQET
• Systematic analysis of the $D_J(2580)$, $D_J^{\ast }(2650)$, $D_J(2740)$, $D_J^{\ast }(2760)$, $D_J(3000)$ and $D_J^{\ast }(3000)$ in $D$ meson family
• Two-Body Strong Decay of Z(3930) as the ${\chi }_{c2}(2P)$ State
• Analysis of strong decays of charmed mesons $D_2^{\ast }(2460)$, $D_0(2560)$, $D_2(2740)$, $D_1(3000)$, $D_2^{\ast }(3000)$ and their spin partners $D_1^{\ast }(2680)$, $D_3^{\ast }(2760)$ and $D_0^{\ast }(3000)$
• Semi-leptonic and Non-leptonic $B$ meson decays to charmed mesons
• Dilatation symmetry of the Fokker-Planck equation and anomalous diffusion
• Study of the excited $1^{-}$ charm and charm-strange mesons
• Possible retardation effects of quark confinement on the meson spectrum
• Strong decays of $D_J(3000)$ and $D_{sJ}(3040)$
• Large Possible retardation effects of quark confinement on the meson spectrum II
• Semi-leptonic Production of $D_{sJ}(3040)$ and $D_J(3000)$ in $B_s$ and $B$ Decays

Cited by in corpus (6)

• Mass spectra and strong decays of charmed and charmed-strange mesons
• Resonant state $D_0^{\ast }(2400)$ in the quasi-two-body $B$ meson decays
• Study of the dilepton electromagnetic decays of ${\chi }_{cJ}(1P)$
• Decay properties of $D_{s0}^{\ast }(2317{)}^{+}$ as a conventional $c\bar{s}$ meson
• Strong decays of excited $2^{+}$ charmed mesons
• Rates of $D_0^{\ast }(2400)$, $D_J^{\ast }(3000)$ as the $D_0^{\ast }(2P)$ and $D_0^{\ast }(3P)$ in $B$ Decays