Dynamical study of $D^{*}DK$ and $D^{*}D \bar{D}$ systems at quark level

Fuente: arXiv
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Auteurs principaux: Tan, Yue, Liu, Xuejie, Chen, Xiaoyun, Yang, Youchang, Huang, Hongxia, Ping, Jialun
Format: Preprint
Publié: 2024
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author Tan, Yue
Liu, Xuejie
Chen, Xiaoyun
Yang, Youchang
Huang, Hongxia
Ping, Jialun
author_facet Tan, Yue
Liu, Xuejie
Chen, Xiaoyun
Yang, Youchang
Huang, Hongxia
Ping, Jialun
contents Inspired by that Belle\uppercase\expandafter{\romannumeral2} Collaboration recently reported $T_{cc}$, which can be interpreted as a molecular $DD^{*}$, we investigated the trihadron system of $T_{cc}$ partner with $IJ^{P}$=$01^{-}$ in the framework of a chiral quark model. It's widely accepted that the main component of $X(3872)$ contains the molecular $\bar{D}D^{*}$, while the main component of $D_{s0}^{*}(2317)$ is molecular $DK$. Based on these three well-known exotic states, $T_{cc} (DD^{*})$, $X(3872) (\bar{D}D^{*})$ and $D_{s0}^{*}(2317) (DK)$, we dynamically investigate $D^{*}DK$ and $DD^{*}\bar{D}$ systems at quark level to search for possible bound states. The results show that both of them are bound states, in which the binding energy of the molecular state $DD^*K$ is relatively small, only 0.8 MeV, while the binding energy of $DD^*\bar{D}$ is up to 1.9 MeV. According to the calculation results of the Root-square-mean distances, the spatial structure of the two systems shows obvious ($DD^*$)-($\bar{D}$/$K$) structure, in which $D$ is close to $D^*$ while $DD^*$ as a whole is relatively distant from the third hadron ($\bar{D}$/$K$), which are similar to the nucleon-electron structure. As a result, we strongly recommend that these bound states $DD^*\bar{D}$ and $DD^*K$ are searched for experimentally.
format Preprint
id arxiv_https___arxiv_org_abs_2404_02048
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Dynamical study of $D^{*}DK$ and $D^{*}D \bar{D}$ systems at quark level
Tan, Yue
Liu, Xuejie
Chen, Xiaoyun
Yang, Youchang
Huang, Hongxia
Ping, Jialun
High Energy Physics - Phenomenology
Inspired by that Belle\uppercase\expandafter{\romannumeral2} Collaboration recently reported $T_{cc}$, which can be interpreted as a molecular $DD^{*}$, we investigated the trihadron system of $T_{cc}$ partner with $IJ^{P}$=$01^{-}$ in the framework of a chiral quark model. It's widely accepted that the main component of $X(3872)$ contains the molecular $\bar{D}D^{*}$, while the main component of $D_{s0}^{*}(2317)$ is molecular $DK$. Based on these three well-known exotic states, $T_{cc} (DD^{*})$, $X(3872) (\bar{D}D^{*})$ and $D_{s0}^{*}(2317) (DK)$, we dynamically investigate $D^{*}DK$ and $DD^{*}\bar{D}$ systems at quark level to search for possible bound states. The results show that both of them are bound states, in which the binding energy of the molecular state $DD^*K$ is relatively small, only 0.8 MeV, while the binding energy of $DD^*\bar{D}$ is up to 1.9 MeV. According to the calculation results of the Root-square-mean distances, the spatial structure of the two systems shows obvious ($DD^*$)-($\bar{D}$/$K$) structure, in which $D$ is close to $D^*$ while $DD^*$ as a whole is relatively distant from the third hadron ($\bar{D}$/$K$), which are similar to the nucleon-electron structure. As a result, we strongly recommend that these bound states $DD^*\bar{D}$ and $DD^*K$ are searched for experimentally.
title Dynamical study of $D^{*}DK$ and $D^{*}D \bar{D}$ systems at quark level
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2404.02048