A comparison between the $P_c$ and $P_{cs}$ systems

Kan Chen; Zi-Yang Lin; Shi-Lin Zhu

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arXiv · 2211.05558

A comparison between the $P_c$ and $P_{cs}$ systems

Kan Chen·Zi-Yang Lin·Shi-Lin Zhu

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Abstract

We construct the effective potentials of the $P_c$ and $P_{cs}$ states based on the SU(3)$_{\text{f}}$ symmetry and heavy quark symmetry. Then we perform the coupled-channel analysis of the lowest isospin $P_c$ and $P_{cs}$ systems. The coupled-channel effects play different roles in the $P_c$ and $P_{cs}$ systems. In the $P_c$ systems, this effect gives minor corrections to the masses of the $P_c$ states. In the $P_{cs}$ system, the $\Lambda_c\bar{D}_s-\Xi_c\bar{D}$ coupling will shift the mass of the $P_{cs}(4338)$ close to the $\Xi_c\bar{D}$ threshold. The $\Lambda_c\bar{D}^{(*)}_s-\Xi_c\bar{D}^{(*)}$ coupling will also produce extra $P_{cs}$ states. We discuss the correspondence between the $P_c$ and $P_{cs}$ states. Our results prefer that the SU(3) partners of the observed $P_{c}(4312)$, $P_{c}(4440)$, and $P_{c}(4457)$ in the $P_{cs}$ system have not been found yet.

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Kan Chen, Zi-Yang Lin, Shi-Lin Zhu. 2022-11-10. A comparison between the $P_c$ and $P_{cs}$ systems. https://arxiv.org/abs/2211.05558

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