Heavy quark spin selection rules in meson-antimeson states

Abstract

In the heavy quark limit, we discuss the spin of the charm-anticharm pair $J_{c\bar{c}}$ in an S-wave meson-antimeson molecule or resonance. One finds two cases that $J_{c\bar{c}}$ cannot be 0: (a) $J=|j_2-j_4|-1$ or $J=j_2+j_4+1$ where $J$ is the total spin of the system and $j_2$ ($j_4$) is the total angular momentum of the light degree of freedom in a charmed meson (antimeson); (b) $J^C=1^{+},2^{-},3^{+},...$, if the two different mesons belong to the same doublet. The decays to spin-singlet charmonium states are suppressed when one of the two conditions is satisfied. We discuss constrained decay properties for selected systems.

9 pages, 1 table. Comments and suggestions are welcome

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Cited by in corpus (23)

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• Heavy-flavored tetraquark states with the $QQ\bar{Q}\bar{Q}$ configuration
• Observation of $Z_c(3900{)}^0$ in $e^{+}{e}^{-}\to {\pi }^0{\pi }^{0}J/\psi$
• Observation of $e^{+}{e}^{-}\to {\pi }^0{\pi }^0{h}_c$ and a neutral charmoniumlike structure $Z_c(4020{)}^0$
• Exploring the threshold behavior and implications on the nature of Y(4260) and $Z_c(3900)$
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• Investigating new type of doubly-charmed molecular tetraquarks composed of the charmed meson in $H$-doublet and the charmed meson in $T$-doublet
• Correlation of the hidden-charm molecular tetraquarks and the charmoniumlike structures existing in the $B\to XYZ+K$
• Pentaquark states with the $QQQq\bar{q}$ configuration in a simple model
• A new group of doubly charmed molecule with $T$-doublet charmed meson pair
• Probing the $XYZ$ states through radiative decays
• Predictions of the hidden-charm molecular states with four-quark component
• Searching for tetraquark through weak decays of b-baryons
• Model-independent predictions for decays of hidden-heavy hadrons into pairs of heavy hadrons
• Is $J^{PC}=3^{-+}$ molecule possible?
• Probing exotic $J^{PC}$ resonances from deeply bound charmoniumlike molecules: Insights for identifying exotic hadrons
• $X(3960)$, $X_0(4140)$, and other compact $cs\bar{c}\bar{s}$ states
• Possible $P$- wave $D_s{\bar{D}}_{s0}(2317)$ molecular state $Y^{{}^{\prime }}(4274)$
• Search for $e^{+}{e}^{-}\to \varphi {\chi }_{c0}$ and $\varphi {\eta }_{c2}(1D)$ at center-of-mass energies from 4.47 to 4.95 GeV