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

Abstract

In this work, we tentatively assign the charmed mesons $D_J(2580)$, $D_J^{\ast }(2650)$, $D_J(2740)$, $D_J^{\ast }(2760)$, $D_J(3000)$ and $D_J^{\ast }(3000)$ observed by the LHCb collaboration according to their spin-parity and masses, then study their strong decays to the ground state charmed mesons plus light pseudoscalar mesons with the ${}^3{P}_0$ model. According to these study, we assigned the $D_J^{\ast }(2760)$ as the $1D\frac{5}{2}{3}^{-}$ state, the $D_J^{\ast }(3000)$ as the $1F\frac{5}{2}{2}^{+}$ or $1F\frac{7}{2}{4}^{+}$ state, the $D_J(3000)$ as the $1F\frac{7}{2}{3}^{+}$ or $2P\frac{1}{2}{1}^{+}$ state in the $D$ meson family. As a byproduct, we also study the strong decays of $2P\frac{1}{2}{0}^{+}$,$2P\frac{3}{2}{2}^{+}$, $3S\frac{1}{2}{1}^{-}$, $3S\frac{1}{2}{0}^{-}$ etc, states, which will be helpful to further experimentally study mixings of these $D$ mesons.

16 pages,1 figure. arXiv admin note: text overlap with arXiv:0801.4821 by other authors

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• Interpretation of $D_{sJ}(2632{)}^{+}$, $D_{s1}(2700{)}^{\pm }$, $D_{sJ}^{\star }(2860{)}^{+}$ and $D_{sJ}(3040{)}^{+}$
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• Mass spectra and strong decays of charmed and charmed-strange mesons
• Combined study of $2S$ and $1D$ open-charm mesons with natural spin-parity
• 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 $D_0^{\ast }(3000)$
• Decays of $B$, $B_s$ and $B_c$ to $D$-wave heavy-light mesons
• Systematic analysis of strange single heavy baryons ${\Xi }_c$ and ${\Xi }_b$
• Open charm hadron spectroscopy at B-factories
• The analysis of the excited bottom and bottom strange states $B_1(5721)$, $B_2^{\ast }(5747)$, $B_{s1}(5830)$, $B_{s2}^{\ast }(5840)$, $B_J(5840)$ and $B_J(5970)$ in B meson family
• Analysis of the $X(3842)$ as a D-wave charmonium meson
• Strong decays of $D_J(3000)$ and $D_{sJ}(3040)$
• Radiative decays of the charmed mesons in a modified relativistic quark model
• Strong Decays of the Orbitally Excited Scalar $D_0^{\ast }$ Mesons
• Investigations of the $D$-multi-$\rho$ interactions
• Masses and Strong Decay properties of Radially Excited Bottom states B(2S)and B(2P) with their Strange Partners Bs(2S) and Bs(2P)
• 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