Abstract
It is pointed out that the previously suggested interpretation of the hidden-charm pentaquarks $P_c(4312)$, $P_c(4440)$ and $P_c(4457)$ as molecular bound states of $\Sigma_c \bar D$ and $\Sigma_c \bar D^*$ baryon-meson pairs gives rise to specific relations for their decays. In particular, the heavy quark spin symmetry predicts ratios of rates of decays of each of the molecules to $J/\psi p$ and to $\eta_c p$ as well as of the decays to $\Lambda_c \bar D$ and to $\Lambda_c \bar D^*$. Experimental studies of these relations would thus provide an indicative probe of the molecular structure.
Highlights
It is pointed out that the previously suggested interpretation of the hidden-charm pentaquarks Pcð4312Þ, Pcð4440Þ, and Pcð4457Þ as molecular bound states of ΣcDand ΣcD Ã baryon-meson pairs gives rise to specific relations for their decays
The measured positions of the resonance peaks are just few mega-electron-volts below the thresholds for hidden-charm baryon-meson channels ΣcDand ΣcD Ã, and the experimental report [3] strongly suggests an interpretation of the lowest Pcð4312Þ resonance as a shallow bound S-wave state of ΣcDwith the spin parity JP 1⁄4 1=2− and the two higher peaks as similar S-wave bound systems of ΣcD Ã with JP 1⁄4 1=2− and JP 1⁄4 3=2−
The existence of molecular states with hidden heavy flavor was suggested long ago [4], and similar heavy mesonantimeson systems have been observed both with hidden charm (e.g., Xð3872Þ [5]) and the bottomoniumlike Zbð10610Þ and Zbð10650Þ [6]. (Recent reviews of multiquark hadrons including molecular systems with hidden heavy flavor can be found in Refs. [7,8,9,10,11].) It would be of great interest to further test the internal dynamics of the newly found exotic baryons and confirm or rule out their molecular nature
Summary
It is pointed out that the previously suggested interpretation of the hidden-charm pentaquarks Pcð4312Þ, Pcð4440Þ, and Pcð4457Þ as molecular bound states of ΣcDand ΣcD Ã baryon-meson pairs gives rise to specific relations for their decays. This product contains the matrix Cαβ 1⁄4 cαcβ describing the (mixed) spin state of the heavy quark-antiquark pair, and one can expect that this structure applies to a shallow bound state.
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