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We construct two-dimensional non-commutative topological quantum field theories (TQFTs), one for each Hecke algebra corresponding to a finite Coxeter system. These TQFTs associate an invariant to each ciliated surface, which is a Laurent…

Quantum Algebra · Mathematics 2021-12-20 Vladimir Fock , Valdo Tatitscheff , Alexander Thomas

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

A complete classification of $qq \bar q \bar q$ tetraquark states in terms of the spin-flavour, colour and spatial degrees of freedom has been constructed. The permutational symmetry properties of both the spin-flavour and orbital parts of…

High Energy Physics - Phenomenology · Physics 2008-11-26 Elena Santopinto , Giuseppe Galata`

Using the method of Green's functions within a Bethe-Salpeter framework characterized by a pairwise qq interaction with a Lorentz-covariant 3D support to its kernel, the 4D BS wave function for a system of 3 identical relativistic spinless…

High Energy Physics - Theory · Physics 2009-10-31 A. N. Mitra

In the framework of the improved chromomagnetic interaction model, we complete a systematic study of the $S$-wave tetraquark states $Qq\bar{Q}\bar{q}$ ($Q=c,b$, and $q=u,d,s$) with different quantum numbers, $J^{PC}=0^{+(+)}$, $1^{+(\pm)}$,…

High Energy Physics - Phenomenology · Physics 2023-05-26 Tao Guo , Jianing Li , Jiaxing Zhao , Lianyi He

Masses of the ground, orbitally and radially excited states of the asymmetric fully heavy tetraquarks, composed of charm (c) and bottom (b) quarks and antiquarks are calculated in the relativistic diquark-antidiquark picture. The…

High Energy Physics - Phenomenology · Physics 2024-05-07 V. O. Galkin , E. M. Savchenko

Using the method of Green's functions within the framework of a Bethe-Salpeter formalism characterized by a pairwise $qq$ interaction with a 3D support to its kernel (expressed in a Lorentz-covariant manner), the 4D BS wave function for a…

High Energy Physics - Theory · Physics 2016-09-06 A. N. Mitra

A new color basis system and confinement mechanism for multi-quark systems are proposed according to the string-type picture of QCD. The color string configurations in the strong coupling QCD are implemented in the set of color basis…

High Energy Physics - Phenomenology · Physics 2023-07-11 Guang-Juan Wang , Makoto Oka , Daisuke Jido

I review some selected aspects of the phenomenology of multiquark states discovered in high energy experiments. They have four valence quarks (called tetraquarks) and two of them are found to have five valence quarks (called pentaquarks),…

High Energy Physics - Phenomenology · Physics 2016-05-23 Ahmed Ali

In this article, we study the $J^{PC}=0^{++}$ and $2^{++}$ $QQ\bar{Q}\bar{Q}$ tetraquark states with the QCD sum rules, and obtain the predictions $M_{X(cc\bar{c}\bar{c},0^{++})} =5.99\pm0.08\,\rm{GeV}$, $M_{X(cc\bar{c}\bar{c},2^{++})}…

High Energy Physics - Phenomenology · Physics 2017-07-03 Zhi-Gang Wang

We consider how tetraquarks can affect the chiral phase transition in theories like QCD, with light quarks coupled to three colors. For two flavors the tetraquark field is an isosinglet, and its effect is minimal. For three flavors,…

High Energy Physics - Phenomenology · Physics 2016-09-14 Robert D. Pisarski , Vladimir V. Skokov

We study the pair description of heavy tetraquark systems $|QQ\bar Q \bar Q\rangle$ in the frame of a non-relativistic potential model. By taking the two heavy quark pairs $(Q\bar Q)$ as colored clusters, the four-quark Schr\"odinger…

High Energy Physics - Phenomenology · Physics 2021-03-17 Guojun Huang , Jiaxing Zhao , Pengfei Zhuang

We derive covariant wave functions for hadrons composed of two constituents for arbitrary Lorentz boosts. Focussing explicitly on baryons as quark-diquark systems, we reduce their manifestly covariant Bethe-Salpeter equation to covariant…

Nuclear Theory · Physics 2007-05-23 M. Dillig

We propose a stringy description of a system composed of two heavy quarks and two heavy antiquarks, mimicking that in pure $SU(3)$ gauge theory. We present both analytical and numerical studies of the string configurations for rectangular…

High Energy Physics - Phenomenology · Physics 2026-01-29 Oleg Andreev

In a covariant Bethe-Salpeter-equation approach and with a rainbow-ladder truncated model of QCD, we investigate the use of an effective interaction with the goal of reproducing QCD phenomenology. We extend previous studies and present…

High Energy Physics - Phenomenology · Physics 2015-03-05 Thomas Hilger , Carina Popovici , Maria Gomez-Rocha , Andreas Krassnigg

We present results of a lattice calculation of tetraquark states with quark contents $q_1q_2\bar{Q}\bar{Q}, \, q_1,q_2 \subset u,d,s,c$ and $Q \equiv b,c$ in both spin zero ($J=0$) and spin one ($J=1$) sectors. These calculations are…

High Energy Physics - Lattice · Physics 2019-02-27 Parikshit Junnarkar , Nilmani Mathur , M Padmanath

The fully-heavy tetraquark states $QQ\bar{Q}\bar{Q}$ ($Q=c, b$) are systematically investigated by means of a nonrelativistic potential model. The model is based on the lattice QCD study of the two-body $Q\bar{Q}$ interaction, which…

High Energy Physics - Phenomenology · Physics 2021-04-20 Gang Yang , Jialun Ping , Lianyi He , Qing Wang

Based on the diquark configuration, we construct the diquark-antidiquark interpolating tetraquark currents with $J^{PC}=1^{-\pm}$ and $1^{+\pm}$, which can couple to the scalar and pseudoscalar tetraquark states respectively, since they are…

High Energy Physics - Phenomenology · Physics 2018-06-25 Zun-Yan Di , Zhi-Gang Wang

A general classification of tetraquark states in terms of the spin-flavour, colour and spatial degrees of freedom has been constructed. The permutational symmetry properties of both the spin-flavour and orbital parts of the quark-quark and…

High Energy Physics - Phenomenology · Physics 2017-08-23 Elena Santopinto , Giuseppe Galatà

The QCD quark cyclobutadiene (ring-like), a new color structure of tetraquark system, is proposed and studied in the flux tube model with multi-body confinement potential. The QCD quark cyclobutadiene and other flux tube structures of…

High Energy Physics - Phenomenology · Physics 2015-06-03 Chengrong Deng , Jialun Ping , Fan Wang