Mass and width of $T_{c\bar c}(4020)$ in the developed Bethe-Salpeter theory

Fuente: arXiv
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Autores principales: Chen, Xiaozhao, Lü, Xiaofu, Guo, Xiurong, Shi, Zonghua
Formato: Preprint
Publicado: 2025
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author Chen, Xiaozhao
Lü, Xiaofu
Guo, Xiurong
Shi, Zonghua
author_facet Chen, Xiaozhao
Lü, Xiaofu
Guo, Xiurong
Shi, Zonghua
contents In experiments exotic meson resonance $T_{c\bar c}(4020)$ lies above the $D^{*}\bar{D}^{*}$ threshold, and in principle one can not explain $T_{c\bar c}(4020)$ as a meson-meson bound state because meson-meson bound state must lie below the $D^{*}\bar{D}^{*}$ threshold. In this work, exotic resonance $T_{c\bar c}(4020)$ is considered as an unstable meson-meson molecular state $D^{*}\bar{D}^{*}$, and the developed Bethe-Salpeter theory for dealing with unstable state is applied to investigate resonance $T_{c\bar c}(4020)$. We calculate the mass and width of unstable meson-meson molecular state $D^{*}\bar{D}^{*}$ in the framework of relativistic quantum field theory and find that this unstable meson-meson molecular state lies above the $D^{*}\bar{D}^{*}$ threshold, which is consistent with experimental values of resonance $T_{c\bar c}(4020)$.
format Preprint
id arxiv_https___arxiv_org_abs_2503_10315
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Mass and width of $T_{c\bar c}(4020)$ in the developed Bethe-Salpeter theory
Chen, Xiaozhao
Lü, Xiaofu
Guo, Xiurong
Shi, Zonghua
High Energy Physics - Phenomenology
In experiments exotic meson resonance $T_{c\bar c}(4020)$ lies above the $D^{*}\bar{D}^{*}$ threshold, and in principle one can not explain $T_{c\bar c}(4020)$ as a meson-meson bound state because meson-meson bound state must lie below the $D^{*}\bar{D}^{*}$ threshold. In this work, exotic resonance $T_{c\bar c}(4020)$ is considered as an unstable meson-meson molecular state $D^{*}\bar{D}^{*}$, and the developed Bethe-Salpeter theory for dealing with unstable state is applied to investigate resonance $T_{c\bar c}(4020)$. We calculate the mass and width of unstable meson-meson molecular state $D^{*}\bar{D}^{*}$ in the framework of relativistic quantum field theory and find that this unstable meson-meson molecular state lies above the $D^{*}\bar{D}^{*}$ threshold, which is consistent with experimental values of resonance $T_{c\bar c}(4020)$.
title Mass and width of $T_{c\bar c}(4020)$ in the developed Bethe-Salpeter theory
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2503.10315