The spectra of $bc\bar{b}\bar{c}$ tetraquark states from a diquark-antidiquark perspective

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Autori principali: Wang, Zhen-Yang, Qi, Jing-Juan, Zhang, Zhen-Hua, Guo, Xin-Heng
Natura: Preprint
Pubblicazione: 2025
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author Wang, Zhen-Yang
Qi, Jing-Juan
Zhang, Zhen-Hua
Guo, Xin-Heng
author_facet Wang, Zhen-Yang
Qi, Jing-Juan
Zhang, Zhen-Hua
Guo, Xin-Heng
contents Within the diquark-antidiquark framework, this study investigates the masses of ground-state tetraquarks composed of heavy charm ($c$) and bottom ($b$) quarks and antiquarks, using the Bethe-Salpeter formalism. We establish the Bethe-Salpeter equations for the fully heavy $bc\bar{b}\bar{c}$ tetraquarks to the leading order in $1/m_Q$ expansion. These equations are subsequently solved numerically under the covariant instantaneous approximation with kernels containing scalar confinement and one-gluon exchange terms. Our results show that the spectra of all possible $S$-wave tetraquark states are above the corresponding two lowest meson decay thresholds via the quark rearrangement. This implies that the ground $bc\bar{b}\bar{c}$ tetraquark states should be broad.
format Preprint
id arxiv_https___arxiv_org_abs_2508_12366
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle The spectra of $bc\bar{b}\bar{c}$ tetraquark states from a diquark-antidiquark perspective
Wang, Zhen-Yang
Qi, Jing-Juan
Zhang, Zhen-Hua
Guo, Xin-Heng
High Energy Physics - Phenomenology
Within the diquark-antidiquark framework, this study investigates the masses of ground-state tetraquarks composed of heavy charm ($c$) and bottom ($b$) quarks and antiquarks, using the Bethe-Salpeter formalism. We establish the Bethe-Salpeter equations for the fully heavy $bc\bar{b}\bar{c}$ tetraquarks to the leading order in $1/m_Q$ expansion. These equations are subsequently solved numerically under the covariant instantaneous approximation with kernels containing scalar confinement and one-gluon exchange terms. Our results show that the spectra of all possible $S$-wave tetraquark states are above the corresponding two lowest meson decay thresholds via the quark rearrangement. This implies that the ground $bc\bar{b}\bar{c}$ tetraquark states should be broad.
title The spectra of $bc\bar{b}\bar{c}$ tetraquark states from a diquark-antidiquark perspective
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2508.12366