论文标题

$ P_C $和$ P_ {CS} $ Systems的比较

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

论文作者

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

论文摘要

我们基于su(3)$ _ {\ text {f}} $对称和繁重的夸克对称性的$ p_c $和$ p_c $和$ p_ {cs} $状态的有效电位。然后,我们对最低的isospin $ p_c $和$ p_ {cs} $ systems执行耦合通道分析。耦合通道效果在$ P_C $和$ P_ {CS} $ Systems中扮演不同的角色。在$ P_C $系统中,此效果对$ P_C $状态的质量进行了较小的更正。在$ p_ {cs} $系统中,$λ_c\ bar {d} _s-ξ_c\ bar {d} $耦合将移动$ p_ {cs}(4338)$接近$ p_ {cs}(4338)$接近$之一$λ_C\ bar {d}^{(*)} _ s-ξ_c\ bar {d}^{(*)} $耦合也将产生额外的$ p_ {cs} $ state。我们讨论$ p_c $和$ p_ {cs} $状态之间的对应关系。我们的结果更喜欢在$ p_ {cs} $系统中尚未找到观察到的$ p_ {c}(4312)$,$ p_ {c}(4440)$的SU(3)合作伙伴,$ P_ {C}(4440)$,$ P_ {C}(4457)$

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 $Λ_c\bar{D}_s-Ξ_c\bar{D}$ coupling will shift the mass of the $P_{cs}(4338)$ close to the $Ξ_c\bar{D}$ threshold. The $Λ_c\bar{D}^{(*)}_s-Ξ_c\bar{D}^{(*)}$ 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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