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In the present work, considering the conservation of isospin in the strongdecays, we investigate the strong decays of the pentaquark molecule candidate$P_c(4312)$ and its possible higher isospin cousin $P_c(4330)$ in the frameworkof the QCD sum rules. What's more, the pole residue of the $\Delta$ baryon withisospin 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 inthe future experiment, it would shed light on interpretations of the $P_c$states.

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