Charmonium states in a coupled-channel model

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Auteurs principaux: Man, Zi-Long, Shu, Cheng-Rui, Liu, Yan-Rui, Chen, Hong
Format: Preprint
Publié: 2024
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author Man, Zi-Long
Shu, Cheng-Rui
Liu, Yan-Rui
Chen, Hong
author_facet Man, Zi-Long
Shu, Cheng-Rui
Liu, Yan-Rui
Chen, Hong
contents We systematically investigate the mass spectrum and two-body open-charm strong decays of charmonium states in a coupled-channel model where the $^3P_0$ quark-antiquark pair creation mechanism is employed. The results of masses, mass shifts, proportions of the $c\bar{c}$ component, and open-charm decay widths are provided. The $S$-$D$ wave mixing angles and di-electric decay widths for vector mesons are also presented. Based on our results, we find that the $ψ(3770)$, $ψ(4040)$, $ψ(4160)$, $ψ(4360)$, and $ψ(4415)$ can be assigned as the $1^3D_1$-, $3^3S_1$-, $2^3D_1$-, $4^3S_1$-, and $3^3D_1$-dominated charmonium states, respectively. The $ψ_3(3842)$ is a good candidate of the $ψ_3(1D)$ charmonium state. The calculated mass and strong decay width of $χ_{c1}(2P)$ with significant continuum contribution ($\sim$57\%) favor the charmonium interpretation for the mysterious $χ_{c1}(3872)$. When considering the large uncertainty in the observed decay width, the possibility to assign the $χ_{c0}(3860)$ as the $χ_{c0}(2P)$ charmonium state cannot be ruled out. One may describe well the properties of $χ_{c2}(3930)$ with the $χ_{c2}(2P)$ charmonium. The predictions on properties of other $c\bar{c}$ states can be tested by future experiments.
format Preprint
id arxiv_https___arxiv_org_abs_2402_02765
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Charmonium states in a coupled-channel model
Man, Zi-Long
Shu, Cheng-Rui
Liu, Yan-Rui
Chen, Hong
High Energy Physics - Phenomenology
High Energy Physics - Experiment
High Energy Physics - Lattice
Nuclear Theory
We systematically investigate the mass spectrum and two-body open-charm strong decays of charmonium states in a coupled-channel model where the $^3P_0$ quark-antiquark pair creation mechanism is employed. The results of masses, mass shifts, proportions of the $c\bar{c}$ component, and open-charm decay widths are provided. The $S$-$D$ wave mixing angles and di-electric decay widths for vector mesons are also presented. Based on our results, we find that the $ψ(3770)$, $ψ(4040)$, $ψ(4160)$, $ψ(4360)$, and $ψ(4415)$ can be assigned as the $1^3D_1$-, $3^3S_1$-, $2^3D_1$-, $4^3S_1$-, and $3^3D_1$-dominated charmonium states, respectively. The $ψ_3(3842)$ is a good candidate of the $ψ_3(1D)$ charmonium state. The calculated mass and strong decay width of $χ_{c1}(2P)$ with significant continuum contribution ($\sim$57\%) favor the charmonium interpretation for the mysterious $χ_{c1}(3872)$. When considering the large uncertainty in the observed decay width, the possibility to assign the $χ_{c0}(3860)$ as the $χ_{c0}(2P)$ charmonium state cannot be ruled out. One may describe well the properties of $χ_{c2}(3930)$ with the $χ_{c2}(2P)$ charmonium. The predictions on properties of other $c\bar{c}$ states can be tested by future experiments.
title Charmonium states in a coupled-channel model
topic High Energy Physics - Phenomenology
High Energy Physics - Experiment
High Energy Physics - Lattice
Nuclear Theory
url https://arxiv.org/abs/2402.02765