The ground states of hidden-charm tetraquarks and their radial excitations

Abstract Inspired by the great progress in the observations of charmonium-like states in recent years, we perform a systematic analysis about the ground states and the first radially excited states of $$qc\bar{q}\bar{c}$$ q c q ¯ c ¯ (q = u/d and s) tetraquark systems. Their mass spectra, root mean...

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Main Authors: Guo-Liang Yu, Zhen-Yu Li, Zhi-Gang Wang, Bin Wu, Ze Zhou, Jie Lu
Format: Article
Language:English
Published: SpringerOpen 2024-10-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-024-13514-x
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author Guo-Liang Yu
Zhen-Yu Li
Zhi-Gang Wang
Bin Wu
Ze Zhou
Jie Lu
author_facet Guo-Liang Yu
Zhen-Yu Li
Zhi-Gang Wang
Bin Wu
Ze Zhou
Jie Lu
author_sort Guo-Liang Yu
collection DOAJ
description Abstract Inspired by the great progress in the observations of charmonium-like states in recent years, we perform a systematic analysis about the ground states and the first radially excited states of $$qc\bar{q}\bar{c}$$ q c q ¯ c ¯ (q = u/d and s) tetraquark systems. Their mass spectra, root mean square (r.m.s.) radii and radial density distributions are predicted within the framework of relativized quark model. By comparing with experimental data, some potential candidates for hidden-charm tetraquark states are suggested. For $$qc\bar{q}\bar{c}$$ q c q ¯ c ¯ (q = u/d) system, if $$Z_{c}(3900)$$ Z c ( 3900 ) is supposed to be a compact tetraquark state with $$J^{PC}=1^{+-}$$ J PC = 1 + - , Z(4430) can be interpreted as the first radially excited states of $$Z_{c}(3900)$$ Z c ( 3900 ) . Another broad structure $$Z_{c}(4200)$$ Z c ( 4200 ) can also be explained as a partner of $$Z_{c}(3900)$$ Z c ( 3900 ) , and it arise from a higher state with $$J^{PC}=1^{+-}$$ J PC = 1 + - . In addition, theoretical predictions indicate that the possible assignments for X(3930), X(4050) and X(4250) are low lying $$0^{++}$$ 0 + + tetraquark states. As for the $$sc\bar{s}\bar{c}$$ s c s ¯ c ¯ system, X(4140) and X(4274) structures can be interpreted as this type of tetraquark states with $$J^{PC}=1^{++}$$ J PC = 1 + + , and X(4350) can be described as a $$sc\bar{s}\bar{c}$$ s c s ¯ c ¯ tetraquark with $$J^{PC}=0^{++}$$ J PC = 0 + + . With regard to $$qc\bar{s}\bar{c}$$ q c s ¯ c ¯ (q = u/d) system, we find two potential candidates for this type of tetraquark, which are $$Z_{cs}(4000)$$ Z cs ( 4000 ) and $$Z_{cs}(4220)$$ Z cs ( 4220 ) structures. The measured masses of these two structures are in agreement with theoretical predictions for the $$1^{+}$$ 1 + state.
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spelling doaj-art-cae3a3054d3047d986bde79a9da44b612024-12-08T12:43:00ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522024-10-01841011810.1140/epjc/s10052-024-13514-xThe ground states of hidden-charm tetraquarks and their radial excitationsGuo-Liang Yu0Zhen-Yu Li1Zhi-Gang Wang2Bin Wu3Ze Zhou4Jie Lu5Department of Mathematics and Physics, North China Electric Power UniversitySchool of Physics and Electronic Science, Guizhou Education UniversityDepartment of Mathematics and Physics, North China Electric Power UniversityDepartment of Mathematics and Physics, North China Electric Power UniversityDepartment of Mathematics and Physics, North China Electric Power UniversityDepartment of Mathematics and Physics, North China Electric Power UniversityAbstract Inspired by the great progress in the observations of charmonium-like states in recent years, we perform a systematic analysis about the ground states and the first radially excited states of $$qc\bar{q}\bar{c}$$ q c q ¯ c ¯ (q = u/d and s) tetraquark systems. Their mass spectra, root mean square (r.m.s.) radii and radial density distributions are predicted within the framework of relativized quark model. By comparing with experimental data, some potential candidates for hidden-charm tetraquark states are suggested. For $$qc\bar{q}\bar{c}$$ q c q ¯ c ¯ (q = u/d) system, if $$Z_{c}(3900)$$ Z c ( 3900 ) is supposed to be a compact tetraquark state with $$J^{PC}=1^{+-}$$ J PC = 1 + - , Z(4430) can be interpreted as the first radially excited states of $$Z_{c}(3900)$$ Z c ( 3900 ) . Another broad structure $$Z_{c}(4200)$$ Z c ( 4200 ) can also be explained as a partner of $$Z_{c}(3900)$$ Z c ( 3900 ) , and it arise from a higher state with $$J^{PC}=1^{+-}$$ J PC = 1 + - . In addition, theoretical predictions indicate that the possible assignments for X(3930), X(4050) and X(4250) are low lying $$0^{++}$$ 0 + + tetraquark states. As for the $$sc\bar{s}\bar{c}$$ s c s ¯ c ¯ system, X(4140) and X(4274) structures can be interpreted as this type of tetraquark states with $$J^{PC}=1^{++}$$ J PC = 1 + + , and X(4350) can be described as a $$sc\bar{s}\bar{c}$$ s c s ¯ c ¯ tetraquark with $$J^{PC}=0^{++}$$ J PC = 0 + + . With regard to $$qc\bar{s}\bar{c}$$ q c s ¯ c ¯ (q = u/d) system, we find two potential candidates for this type of tetraquark, which are $$Z_{cs}(4000)$$ Z cs ( 4000 ) and $$Z_{cs}(4220)$$ Z cs ( 4220 ) structures. The measured masses of these two structures are in agreement with theoretical predictions for the $$1^{+}$$ 1 + state.https://doi.org/10.1140/epjc/s10052-024-13514-x
spellingShingle Guo-Liang Yu
Zhen-Yu Li
Zhi-Gang Wang
Bin Wu
Ze Zhou
Jie Lu
The ground states of hidden-charm tetraquarks and their radial excitations
European Physical Journal C: Particles and Fields
title The ground states of hidden-charm tetraquarks and their radial excitations
title_full The ground states of hidden-charm tetraquarks and their radial excitations
title_fullStr The ground states of hidden-charm tetraquarks and their radial excitations
title_full_unstemmed The ground states of hidden-charm tetraquarks and their radial excitations
title_short The ground states of hidden-charm tetraquarks and their radial excitations
title_sort ground states of hidden charm tetraquarks and their radial excitations
url https://doi.org/10.1140/epjc/s10052-024-13514-x
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