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Register a new userStrong decays of $D_J(3000)$ and $D_{sJ}(3040)$
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In this paper, we systematically calculate two-body strong decays of newly observed $D_J(3000)$ and $D_{sJ}(3040)$ with 2P$(1^+)$ and 2P$(1^{+prime})$ assignments in an instantaneous approximation of the Bethe-Salpeter equation method. Our results show that both resonances can be explained as the 2P$(1^{+})$ with broad width via $^3P_1$ and $^1P_1$ mixing in $D$ and $D_s$ families. For $D_J(3000)$, the total width is 229.6 MeV in our calculation, close to the upper limit of experimental data, and the dominant decay channels are $D_2^*pi$, $D^*pi$, and $D^*(2600)pi$. For $D_{sJ}(3040)$, the total width is 157.4 MeV in our calculation, close to the lower limit of experimental data, and the dominant channels are $D^*K$ and $D^*K^*$. These results are consistent with observed channels in experiments. Given the very little information that has been obtained from experiments and the large error bars of the total decay widths, we recommend the detection of dominant channels in our calculation.
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In this paper, we study the productions of the newly detected states $D_{sJ}(3040)$ and $D_J(3000)$ observed by BABAR Collaboration and LHCb Collaboration. We assume these states to be the $D_s(2P)$ and $D(2P)$ states with the quantum number $J^P=1^+$ in our work. The results of improved Bethe-Salpeter method indicate that the semi-leptonic decays via $B_s$ and $B$ into $D_{sJ}(3040)$ and $D_J(3000)$ have considerable branching ratios, for example, Br($bar{B}_s^0 rightarrow D{_{sJ}^+}(3040)e^-bar{ u}{_e}$)=$5.79times10^{-4}$, Br($bar{B}^0rightarrow D_{J}^+(3000)e^-bar{ u}{_e}$)=$2.63times10^{-4}$, which shows that these semi-leptonic decays can be accessible in experiments.
The resonance $D_{sJ}(2632)$ observed by SELEX, has attracted great interests and meanwhile brought up serious dispute. Its spin-parity, so far has not finally determined and if it exists, its quark-structure might be exotic. Following the previous literature where $D_{sJ}(2632)$ is assumed to be a radial-excited state of $1^-$, we consider the possibilities that it might be a $qbar q$ ground state of $2^+$ or the first radial-excited state of $0^+$ $D_{sJ}(2317)$ and re-calculate its strong decay widths in terms of the Bethe-Salpeter equation. Our results indicate that there still is a sharp discrepancy between the theoretical evaluation and data.
In this work, we tentatively assign the charmed mesons $D_{J}(2580)$, $D_{J}^{*}(2650)$, $D_{J}(2740)$, $D_{J}^{*}(2760)$, $D_{J}(3000)$ and $D_{J}^{*}(3000)$ 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 $D_{J}^{*}(2760)$ as the $1Dfrac{5}{2}3^{-}$ state, the $D_{J}^{*}(3000)$ as the $1Ffrac{5}{2}2^{+}$ or $1Ffrac{7}{2}4^{+}$ state, the $D_{J}(3000)$ as the $1Ffrac{7}{2}3^{+}$ or $2Pfrac{1}{2}1^{+}$ state in the $D$ meson family. As a byproduct, we also study the strong decays of $2Pfrac{1}{2}0^{+}$,$2Pfrac{3}{2}2^{+}$, $3Sfrac{1}{2}1^{-}$, $3Sfrac{1}{2}0^{-}$ etc, states, which will be helpful to further experimentally study mixings of these $D$ mesons.
In this work, we systematically study the strong decay behaviors of the charmed mesons $D_{1}^{*}(2680)$, $D_{3}^{*}(2760)$ and $D_{2}^{*}(3000)$ reported by the LHCb collaboration. By comparing the masses and the decay properties with the results of the experiment, we assigned these newly observed mesons as the $2Sfrac{1}{2}1^{-}$, $1Dfrac{5}{2}3^{-}$ and $1Ffrac{5}{2}2^{+}$ states respectively. As a byproduct, we also study the strong decays of the unobserved $2Pfrac{3}{2}2^{+}$ and $2Ffrac{5}{2}2^{+}$ charmed mesons, which is helpful to the future experiments in searching for these charmed mesons.
We analyze various possible interpretations of the narrow state $D_{sJ}(2632)$ which lies 100 MeV above threshold. This interesting state decays mainly into $D_s eta$ instead of $D^0 K^+$. If this relative branching ratio is further confirmed by other experimental groups, we point out that the identification of $D_{sJ}(2632)$ either as a $cbar s$ state or more generally as a ${bf {bar 3}}$ state in the $SU(3)_F$ representation is probably problematic. Instead, such an anomalous decay pattern strongly indicates $D_{sJ}(2632)$ is a four quark state in the $SU(3)_F$ ${bf 15}$ representation with the quark content ${1over 2sqrt{2}} (dsbar{d}+sdbar{d}+subar{u}+usbar{u}-2ssbar{s})bar{c}$. We discuss its partners in the same multiplet, and the similar four-quark states composed of a bottom quark $B_{sJ}^0(5832)$. Experimental searches of other members especially those exotic ones are strongly called for.
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