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arXiv · 2307.11321

Strong decays of the $P_c(4312)$ and its isospin cousin via the QCD sum rules

Xiu-Wu Wang·Zhi-Gang Wang
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Abstract

In the present work, considering the conservation of isospin in the strong decays, we investigate the strong decays of the pentaquark molecule candidate $P_c(4312)$ and its possible higher isospin cousin $P_c(4330)$ in the framework of the QCD sum rules. What's more, the pole residue of the $\Delta$ baryon with isospin eigenstate $|II_3\rangle=|\frac{3}{2}\frac{1}{2}\rangle$ is obtained. If the possible pentaquark molecule candidate $P_c(4330)$ could be testified in the future experiment, it would shed light on interpretations of the $P_c$ states.

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Xiu-Wu Wang, Zhi-Gang Wang. 2023-07-21. Strong decays of the $P_c(4312)$ and its isospin cousin via the QCD sum rules. https://doi.org/10.1088/1674-1137%2Fad2442

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