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In this feature article we summarise and highlight aspects of the treatment of four-quark states with functional methods. Model approaches to those exotic mesons almost inevitably have to assume certain internal structures, e.g. by grouping…

High Energy Physics - Phenomenology · Physics 2021-09-02 Gernot Eichmann , Christian S. Fischer , Walter Heupel , Nico Santowsky , Paul C. Wallbott

We generalise the framework of Dyson-Schwinger and Bethe-Salpeter equations for four-quark states to accommodate the case of unequal quark masses. As a first application, we consider the quantum numbers $I(J^{PC})=0(1^{++})$ of the…

High Energy Physics - Phenomenology · Physics 2019-08-07 Paul C. Wallbott , Gernot Eichmann , Christian S. Fischer

In the present work, the triply heavy tetraquarks states $QQ\bar{Q}\bar{q}$ with $Q=(c, b)$ and $q=(u, d, s)$ with all possible quantum numbers are systematically investigated in the framework of the chiral quark model with the resonance…

High Energy Physics - Phenomenology · Physics 2023-03-15 Xuejie Liu , Yue Tan , Dianyong Chen , Hongxia Huang , Jialun Ping

We investigated the four-quark systems with quark structures of $cs\bar{c}\bar{s}$, $cq\bar{c}\bar{s}$, $bs\bar{b}\bar{s}$, and $bq\bar{b}\bar{s}$ in the framework of the non-relativistic quark model, motivated by the recent observation of…

High Energy Physics - Phenomenology · Physics 2023-05-10 Rohit Tiwari , Ajay Kumar Rai

We study the internal structure of a range of four-quark states with charm quark contributions using a two-body Bethe-Salpeter equation. Thereby, we examine charmonium-like states with hidden charm and quark content $c\bar{c}q\bar{q}$,…

High Energy Physics - Phenomenology · Physics 2022-04-27 Nico Santowsky , Christian S. Fischer

Four-quark states with different internal clusters are discussed within the constituent quark model. It is pointed out that the diquark concept is not meaningful in the construction of a tetraquark interpolating current in the QCD sum rule…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ailin Zhang , Tao Huang , T. G. Steele

The full-heavy tetraquarks $bb\bar{b}\bar{b}$ and $cc\bar{c}\bar{c}$ are systematically investigated within the chiral quark model and the quark delocalization color screening model. Two structures, meson-meson and diquark-antidiquark, are…

High Energy Physics - Phenomenology · Physics 2020-12-30 Xin Jin , Yaoyao Xue , Hongxia Huang , Jialun Ping

In the present work, we construct the diquark-antidiquark type four-quark currents to investigate the mass spectrum of the ground state hidden-charm-hidden-strange tetraquark states with the quantum numbers $J^{PC}=0^{++}$, $1^{+-}$,…

High Energy Physics - Phenomenology · Physics 2024-09-10 Zhi-Gang Wang

In the framework of the chiral quark model along with complex scaling range, we perform a dynamical study on the low-lying $S$-wave doubly-heavy tetraquark states ($QQ\bar{q}\bar{q}$, $Q=c, b$ and $q=u, d$) with an accurate computing…

High Energy Physics - Phenomenology · Physics 2020-01-08 Gang Yang , Jialun Ping , Jorge Segovia

The study of the fully heavy tetraquark state helps to better understand the characteristics of compact exotic hadrons formed by quarks and gluons. In this work, we systematically investigate the mass spectra and decay channels of fully…

High Energy Physics - Phenomenology · Physics 2026-03-13 Xi Xia , Tao Guo

We discuss the spectrum and the internal composition of ground and excited four-quark states in the charm and bottom energy region. To this end we extend previous calculations within the framework of the relativistic four-body…

High Energy Physics - Phenomenology · Physics 2024-05-22 Joshua Hoffer , Gernot Eichmann , Christian S. Fischer

We propose a four-quark structure for some of the excited states of heavy mesons containing a single charm or bottom quark. The four-quark wave functions are constructed based on a diquark-antidiquark form under the constraint that they…

High Energy Physics - Phenomenology · Physics 2015-06-22 Hungchong Kim , Myung-Ki Cheoun , Yongseok Oh

Using an extended chromomagnetic model, we perform a systematic study of the masses of the doubly heavy tetraquarks. We find that the ground states of the doubly heavy tetraquarks are dominated by color-triplet…

High Energy Physics - Phenomenology · Physics 2022-01-19 Xin-Zhen Weng , Wei-Zhen Deng , Shi-Lin Zhu

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…

High Energy Physics - Phenomenology · Physics 2025-11-25 Zhen-Yang Wang , Jing-Juan Qi , Zhen-Hua Zhang , Xin-Heng Guo

In the framework of the color-magnetic interaction, we systematically investigate the mass spectrum of the tetraquark states composed of four heavy quarks with the $QQ\bar Q\bar Q$ configuration in this work. We also show their strong decay…

High Energy Physics - Phenomenology · Physics 2018-05-18 Jing Wu , Yan-Rui Liu , Kan Chen , Xiang Liu , Shi-Lin Zhu

We give a review of the calculations of the masses of tetraquarks with two and four heavy quarks in the framework of the relativistic quark model based on the quasipotential approach and QCD. The diquark-antidiquark picture of heavy…

High Energy Physics - Phenomenology · Physics 2021-04-21 R. N. Faustov , V. O. Galkin , E. M. Savchenko

In the diquark-diantiquark composition, we study the masses of hidden charm tetraquark systems ($cq\bar{c}\bar{q}$, $cs\bar{c}\bar{s}$ and $cs\bar{c}\bar{q}$) using a linear confinement potential. In this study, we have factorized the four…

High Energy Physics - Phenomenology · Physics 2020-05-20 Tanvi Bhavsar , Manan Shah , Smruti Patel , P. C. Vinodkumar

Inspired by the recent observation of a very narrow state, called $T_{cc}^+$, by the LHCb collaboration, the possible bound states and low-lying resonance states of the doubly heavy tetraquark states $cc\bar{u}\bar{d}$ ($T_{cc}$) and…

High Energy Physics - Phenomenology · Physics 2022-05-11 Xiaoyun Chen

Inspired by the recent observation of $\chi_{c0}(3930)$, $X(4685)$ and $X(4630)$ by the LHCb Collaboration and some exotic resonances such as $X(4350)$, $X(4500)$, etc. by several experiment collaborations, the $cs\bar{c}\bar{s}$ tetraquark…

High Energy Physics - Phenomenology · Physics 2021-11-10 Xuejie Liu , Hongxia Huang , Jialun Ping , Dianyong Chen , Xinmei Zhu

Masses of the ground-state teraquarks composed from heavy $c$ and $b$ quarks and antiquarks are calculated in the diquark-antidiquark picture in the framework of the relativistic quark model based on the quasipotential approach. The…

High Energy Physics - Phenomenology · Physics 2021-01-12 R. N. Faustov , V. O. Galkin , E. M. Savchenko
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