The masses and decay widths of the $S$-wave $Λ_c\barΛ_c$ bound states

Fuente: arXiv
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Autori principali: Cao, Shi-Ji, Qi, Jing-Juan, Guo, Xin-Heng, Wang, Zhen-Yang
Natura: Preprint
Pubblicazione: 2024
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author Cao, Shi-Ji
Qi, Jing-Juan
Guo, Xin-Heng
Wang, Zhen-Yang
author_facet Cao, Shi-Ji
Qi, Jing-Juan
Guo, Xin-Heng
Wang, Zhen-Yang
contents In this work, we investigate possible bound states of the $Λ_c\barΛ_c$ system in the Bethe-Salpeter formalism in the ladder and instantaneous approximations. By numerically solving the Bethe-Salpeter equation, we confirm the existence of $Λ_c\barΛ_c$ bound states with quantum numbers $J^{PC}=0^{-+}$ and $J^{PC}=1^{--}$. We further investigate the partial decay widths of the $Λ_c\barΛ_c$ bound states into $N\bar{N}$, $D\bar{D}$, $D\bar{D}^\ast$, $D^\ast\bar{D}^\ast$, $π\barπ$, and $K\bar{K}$. Our results indicate that the decay width of the $Λ_c\barΛ_c$ bound state with $J^{PC}=1^{--}$ is much larger than that with $J^{PC}=0^{-+}$, and among their decay channels, the $D\bar{D}^\ast$ final state is the main decay mode. We suggest experiments to search for the $Λ_c\barΛ_c$ bound states in the $D\bar{D}^\ast$ final state.
format Preprint
id arxiv_https___arxiv_org_abs_2403_11066
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The masses and decay widths of the $S$-wave $Λ_c\barΛ_c$ bound states
Cao, Shi-Ji
Qi, Jing-Juan
Guo, Xin-Heng
Wang, Zhen-Yang
High Energy Physics - Phenomenology
In this work, we investigate possible bound states of the $Λ_c\barΛ_c$ system in the Bethe-Salpeter formalism in the ladder and instantaneous approximations. By numerically solving the Bethe-Salpeter equation, we confirm the existence of $Λ_c\barΛ_c$ bound states with quantum numbers $J^{PC}=0^{-+}$ and $J^{PC}=1^{--}$. We further investigate the partial decay widths of the $Λ_c\barΛ_c$ bound states into $N\bar{N}$, $D\bar{D}$, $D\bar{D}^\ast$, $D^\ast\bar{D}^\ast$, $π\barπ$, and $K\bar{K}$. Our results indicate that the decay width of the $Λ_c\barΛ_c$ bound state with $J^{PC}=1^{--}$ is much larger than that with $J^{PC}=0^{-+}$, and among their decay channels, the $D\bar{D}^\ast$ final state is the main decay mode. We suggest experiments to search for the $Λ_c\barΛ_c$ bound states in the $D\bar{D}^\ast$ final state.
title The masses and decay widths of the $S$-wave $Λ_c\barΛ_c$ bound states
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2403.11066