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Keywords = exotic hadron

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11 pages, 646 KB  
Review
Status and Prospects of the χc1(3872) Study at BESIII
by Hongjian Zhou, Xin Liu, Yueming Zhang and Chunhua Li
Symmetry 2025, 17(10), 1595; https://doi.org/10.3390/sym17101595 - 24 Sep 2025
Viewed by 58
Abstract
The χc1(3872) plays a pivotal role in understanding hadronic structures, remaining one of the most extensively studied exotic particles among numerous observed unconventional hadronic states. Sustained experimental and theoretical investigations into the particle over the past two decades [...] Read more.
The χc1(3872) plays a pivotal role in understanding hadronic structures, remaining one of the most extensively studied exotic particles among numerous observed unconventional hadronic states. Sustained experimental and theoretical investigations into the particle over the past two decades have propelled its study into a high-precision regime, marked by refined measurements of its decay dynamics and line shape, thereby offering critical insights for resolving longstanding debates between molecular, tetraquark, hybrid, and charmonium interpretations of this particle. Furthermore, the heavy-quark symmetry in the molecular picture predicts a series of χc1(3872) partners. The BESIII experiment has made seminal contributions to the study of the χc1(3872), leveraging its unique capabilities in high-statistics data acquisition and low-background condition, such as observations of the productions e+eγχc1(3872) and ωχc1(3872) and investigations of its decays. This article gives a concise review and prospects of the study of the χc1(3872) from the BESIII experiment. Full article
(This article belongs to the Special Issue Symmetry in Hadron Physics)
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42 pages, 11490 KB  
Review
Experimental Review of the Quarkonium Physics at the LHC
by Yiyang Zhao, Jinfeng Liu, Xing Cheng, Chi Wang and Zhen Hu
Symmetry 2025, 17(9), 1521; https://doi.org/10.3390/sym17091521 - 12 Sep 2025
Viewed by 534
Abstract
We review recent heavy quarkonium measurements in pp, pPb, and PbPb collisions at the LHC by the ALICE, ATLAS, CMS, and LHCb collaborations using Run-2 and early Run-3 data. Production studies include present differential cross-sections and polarization measurements [...] Read more.
We review recent heavy quarkonium measurements in pp, pPb, and PbPb collisions at the LHC by the ALICE, ATLAS, CMS, and LHCb collaborations using Run-2 and early Run-3 data. Production studies include present differential cross-sections and polarization measurements of charmonium and bottomonium, providing precise tests of QCD theoretical calculations and unveiling symmetry relations among spin and orbital configurations. Notably, a tt¯ quasi-bound-state has been observed at the LHC recently. Suppression analyses quantify the sequential melting of bottomonium states in PbPb collisions, serving as a probe of the deconfined quark–gluon plasma. Cold nuclear matter effects are constrained through comparisons of quarkonium yields in pPb and pp collisions. Furthermore, multi-quarkonium investigations observe di- and tri-quarkonium production processes and resonances, exploring multi-parton interactions and the symmetry structure underlying exotic hadron states. Full article
(This article belongs to the Special Issue Symmetry in Hadron Physics)
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11 pages, 351 KB  
Article
Short–Range Hard–Sphere Potential and Coulomb Interaction: Deser–Trueman Formula for Rydberg States of Exotic Atomic Systems
by Gregory S. Adkins and Ulrich D. Jentschura
Atoms 2025, 13(9), 81; https://doi.org/10.3390/atoms13090081 - 11 Sep 2025
Viewed by 215
Abstract
In exotic atomic systems with hadronic constituent particles, it is notoriously difficult to estimate the strong-interaction correction to energy levels. It is well known that, due to the strength of the nuclear interaction, the problem cannot be solved using Wigner–Brillouin perturbation theory alone. [...] Read more.
In exotic atomic systems with hadronic constituent particles, it is notoriously difficult to estimate the strong-interaction correction to energy levels. It is well known that, due to the strength of the nuclear interaction, the problem cannot be solved using Wigner–Brillouin perturbation theory alone. Recently, high-angular-momentum Rydberg states of exotic atomic systems with hadronic constituents have been identified as promising candidates in the search for new physics in the low-energy sector of the Standard Model. We thus derive a generalized Deser–Trueman formula for the induced energy shift for a general hydrogenic bound state with principal quantum number n and orbital angular momentum quantum number , and we find that the energy shift is given by the formula δE=2αn,β(ah/a0)2+1Eh/n3, where αn,0=1, αn,=s=1(s2n2), β=(2+1)/[(2+1)!!]2, Eh is the Hartree energy, ah is the hadronic radius and a0 is the generalized Bohr radius. The square of the double factorial, [(2+1)!!]2, in the denominator implies a drastic suppression of the effect for higher angular momenta. Full article
(This article belongs to the Section Nuclear Theory and Experiments)
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95 pages, 2240 KB  
Article
Dynamical Symmetry and Hadron Spectrum
by Manying Pan, Hongxia Huang and Jialun Ping
Symmetry 2025, 17(9), 1486; https://doi.org/10.3390/sym17091486 - 8 Sep 2025
Viewed by 581
Abstract
Symmetry plays an important role in hadron physics. The predictions of baryon Ω and dibaryon d in the 1960s, which were confirmed by experiments, are based on the dynamical symmetry of quark systems. In this pedagogical article, the dynamical symmetry of [...] Read more.
Symmetry plays an important role in hadron physics. The predictions of baryon Ω and dibaryon d in the 1960s, which were confirmed by experiments, are based on the dynamical symmetry of quark systems. In this pedagogical article, the dynamical symmetry of hadrons is explored. The multiplets of color, spin, and flavor symmetries of two- to six-quark systems are discussed and the phase-consistent wave functions of these systems are presented. Based on the dynamical symmetry of the system, the mass formulas for these systems are constructed, which give a good description of the hadron spectra. Compared with quark–antiquark mesons and three-quark baryons, multi-quark systems have richer structures. It is expected that the symmetry can provide a good guide for exploring multi-quark systems (exotic hadrons) systematically. Full article
(This article belongs to the Special Issue Symmetry in Hadron Physics)
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32 pages, 642 KB  
Review
Exotic Heavy Hadrons
by Humberto Garcilazo and Alfredo Valcarce
Symmetry 2025, 17(8), 1324; https://doi.org/10.3390/sym17081324 - 14 Aug 2025
Viewed by 516
Abstract
We review our recent findings on the structure and properties of exotic heavy hadrons, focusing on two main topics. First, we examine the role of correlations driven by the short-range Coulomb-like color interaction in hidden heavy-flavor pentaquarks. We show how this framework consistently [...] Read more.
We review our recent findings on the structure and properties of exotic heavy hadrons, focusing on two main topics. First, we examine the role of correlations driven by the short-range Coulomb-like color interaction in hidden heavy-flavor pentaquarks. We show how this framework consistently accounts for the observed pattern of Pc and Pcs states in the hidden-charm sector and enables predictions for the hidden-bottom sector, where experimental data are still lacking. The second topic explores the possibility of forming stable multihadron molecules from deeply bound two-hadron exotic states. In this context, a bound state of three B mesons, denoted as Tbbb, with quantum numbers (I)JP=(1/2)2, is presented. We find that the binding energy generally decreases as the number of hadrons increases, primarily due to effects of the Pauli principle and the appearance of new decay thresholds. Nonetheless, resonances may still arise in specific cases, depending on the internal thresholds of the system. Finally, we discuss how the decay width of an exotic multihadron resonance can offer valuable insights into its internal structure and underlying dynamics. Full article
(This article belongs to the Special Issue Symmetry in Hadron Physics)
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26 pages, 4856 KB  
Article
PREFACE: A Search for Long-Lived Particles at the Large Hadron Collider
by Burak Hacisahinoglu, Suat Ozkorucuklu, Maksym Ovchynnikov, Michael G. Albrow, Aldo Penzo and Orhan Aydilek
Physics 2025, 7(3), 33; https://doi.org/10.3390/physics7030033 - 1 Aug 2025
Viewed by 673
Abstract
The Standard Model (SM) fails to explain many problems (neutrino masses, dark matter, and matter–antimatter asymmetry, among others) that may be resolved with new particles beyond the SM. No observation of such new particles may be explained either by their exceptionally high mass [...] Read more.
The Standard Model (SM) fails to explain many problems (neutrino masses, dark matter, and matter–antimatter asymmetry, among others) that may be resolved with new particles beyond the SM. No observation of such new particles may be explained either by their exceptionally high mass or by considerably small coupling to SM particles. The latter case implies relatively long lifetimes. Such long-lived particles (LLPs) then to have signatures different from those of SM particles. Searches in the “central region” are covered by the LHC general purpose experiments. The forward small angle region far from the interaction point (IP) is unexplored. Such particles are expected to have the energy as large as E = O(1 TeV) and Lorentz time dilation factor γ=E/m102103 (with m the particle mass) hence long enough decay distances. A new class of specialized LHC detectors dedicated to LLP searches has been proposed for the forward regions. Among these experiments, FASER is already operational, and FACET is under consideration at a location 100 m from the LHC IP5 (the CMS detector intersection). However, some features of FACET require a specially enlarged beam pipe, which cannot be implemented for LHC Run 4. In this study, we explore a simplified version of the proposed detector PREFACE compatible with the standard LHC beam pipe in the HL-LHC Run 4. Realistic Geant4 simulations are performed and the background is evaluated. An initial analysis of the physics potential with the PREFACE geometry indicates that several significant channels could be accessible with sensitivities comparable to FACET and other LLP searches. Full article
(This article belongs to the Section High Energy Physics)
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17 pages, 1739 KB  
Article
Masses of Hadrons, Tetraquarks, and Pentaquarks Through a Tsallis-Entropy Approach in the MIT Bag Model
by Vanesa Fernández, Gerardo Herrera Corral, Manuel A. Matías Astorga and Jesús M. Sáenz
Entropy 2025, 27(7), 681; https://doi.org/10.3390/e27070681 - 26 Jun 2025
Viewed by 794
Abstract
We propose a new approach to describe hadrons and new forms of quark matter in the MIT bag model. The proposal is an extension that integrates a Tsallis nonextensive statistics description of quarks and gluons and is shown to capture the main features [...] Read more.
We propose a new approach to describe hadrons and new forms of quark matter in the MIT bag model. The proposal is an extension that integrates a Tsallis nonextensive statistics description of quarks and gluons and is shown to capture the main features underlying mass spectroscopy. While the traditional bag model successfully accounts for the masses of light hadrons, it has not been widely used to describe exotic quark configurations. We compute the system’s internal energy and derive expressions for hadronic masses, showing how they depend on the Tsallis parameter. The model reasonably reproduces known mass spectra of conventional hadrons and naturally extends to exotic states such as tetraquarks and pentaquarks. Additionally, we provide estimates of hadron radii within this framework. Our results suggest that nonextensive statistics provide a meaningful generalization of the bag model, capturing both conventional and exotic features of hadronic matter within a unified formalism. Full article
(This article belongs to the Section Statistical Physics)
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16 pages, 22205 KB  
Article
Properties of Heavy Higgs Bosons and Dark Matter Under Current Experimental Limits in the μNMSSM
by Zhaoxia Heng, Xingjuan Li and Liangliang Shang
Universe 2025, 11(3), 103; https://doi.org/10.3390/universe11030103 - 20 Mar 2025
Cited by 3 | Viewed by 278
Abstract
Searches for new particles beyond the Standard Model (SM) are an important task for the Large Hadron Collider (LHC). In this paper, we investigate the properties of the heavy non-SM Higgs bosons in the μ-term extended Next-to-Minimal Supersymmetric Standard Model (μ [...] Read more.
Searches for new particles beyond the Standard Model (SM) are an important task for the Large Hadron Collider (LHC). In this paper, we investigate the properties of the heavy non-SM Higgs bosons in the μ-term extended Next-to-Minimal Supersymmetric Standard Model (μNMSSM). We scan the parameter space of the μNMSSM considering the basic constraints from Higgs data, dark matter (DM) relic density, and LHC searches for sparticles. And we also consider the constraints from the LZ2022 experiment and the muon anomaly constraint at the 2σ level. We find that the LZ2022 experiment has a strict constraint on the parameter space of the μNMSSM, and the limits from the DM-nucleon spin-independent (SI) and spin-dependent (SD) cross-sections are complementary. Then, we discuss the exotic decay modes of heavy Higgs bosons decaying into SM-like Higgs bosons. We find that for doublet-dominated Higgs h3 and A2, the main exotic decay channels are h3ZA1, h3h1h2, A2A1h1, and A2Zh2, and the branching ratio can reach to about 23%, 10%, 35%, and 10% respectively. Full article
(This article belongs to the Special Issue Search for New Physics Through Combined Approaches)
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10 pages, 333 KB  
Review
Hunting for Bileptons at Hadron Colliders
by Gennaro Corcella
Entropy 2024, 26(10), 850; https://doi.org/10.3390/e26100850 - 8 Oct 2024
Cited by 1 | Viewed by 765
Abstract
I review possible signals at hadron colliders of bileptons, namely doubly charged vectors or scalars with lepton number L=±2, as predicted by a 331 model, based on a [...] Read more.
I review possible signals at hadron colliders of bileptons, namely doubly charged vectors or scalars with lepton number L=±2, as predicted by a 331 model, based on a SU(3)c×SU(3)L×U(1)X symmetry. In particular, I account for a version of the 331 model wherein the embedding of the hypercharge is obtained with the addition of three exotic quarks and vector bileptons. Furthermore, a sextet of SU(3)L, necessary to provide masses to leptons, yields an extra scalar sector, including a doubly charged Higgs, i.e., scalar bileptons. As bileptons are mostly produced in pairs at hadron colliders, their main signal is provided by two same-sign lepton pairs at high invariant mass. Nevertheless, they can also decay according to non-leptonic modes, such as a TeV-scale heavy quark, charged 4/3 or 5/3, plus a Standard Model quark. I explore both leptonic and non-leptonic decays and the sensitivity to the processes of the present and future hadron colliders. Full article
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39 pages, 1973 KB  
Review
Exotic Tetraquarks at the HL-LHC with JETHAD: A High-Energy Viewpoint
by Francesco Giovanni Celiberto
Symmetry 2024, 16(5), 550; https://doi.org/10.3390/sym16050550 - 2 May 2024
Cited by 11 | Viewed by 1649
Abstract
We review the semi-inclusive hadroproduction of a neutral hidden-flavor tetraquark with light and heavy quark flavor at the HL-LHC, accompanied by another heavy hadron or a light-flavored jet. We make use of the novel TQHL1.0 determinations of leading-twist fragmentation functions to describe the [...] Read more.
We review the semi-inclusive hadroproduction of a neutral hidden-flavor tetraquark with light and heavy quark flavor at the HL-LHC, accompanied by another heavy hadron or a light-flavored jet. We make use of the novel TQHL1.0 determinations of leading-twist fragmentation functions to describe the formation mechanism of a tetraquark state within the next-to-leading order perturbative QCD. This framework builds on the basis of a spin physics-inspired model, taken as a proxy for the lowest-scale input of the constituent heavy-quark fragmentation channel. Then, all parton-to-tetraquark fragmentation functions are consistently obtained via the above-threshold DGLAP evolution in a variable-flavor number scheme. We provide predictions for a series of differential distributions calculated by the hands of the JETHAD method, well-adapted to NLL/NLO+ hybrid-factorization studies, where the resummation of next-to-leading energy logarithms and beyond is included in the collinear picture. We provide corroborating evidence that high-energy observables sensitive to semi-inclusive tetraquark emissions at the HL-LHC exhibit a fair stability under radiative corrections, as well as MHOU studies. Our analysis constitutes a prime contact point between QCD resummations and the exotic matter. Full article
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24 pages, 515 KB  
Article
Hidden-Charm Pentaquarks with Strangeness in a Chiral Quark Model
by Gang Yang, Jialun Ping and Jorge Segovia
Symmetry 2024, 16(3), 354; https://doi.org/10.3390/sym16030354 - 14 Mar 2024
Cited by 10 | Viewed by 1632
Abstract
The LHCb collaboration has recently announced the discovery of two hidden-charm pentaquark states with strange quark content, Pcs(4338) and Pcs(4459); its analysis points towards having both hadrons’ isospins equal to zero and [...] Read more.
The LHCb collaboration has recently announced the discovery of two hidden-charm pentaquark states with strange quark content, Pcs(4338) and Pcs(4459); its analysis points towards having both hadrons’ isospins equal to zero and spin-parity quantum numbers 12 and 32, respectively. Herein, we perform a systematical investigation of the qqscc¯(q=u,d) system by means of a chiral quark model, along with a highly accurate computational method, the Gaussian expansion approach combined with the complex scaling technique. baryon-meson configurations in both singlet- and hidden-color channels are considered. The Pcs(4338) and Pcs(4459) signals can be well identified as molecular bound states with dominant components ΛJ/ψ(60%) and ΞcD(23%) for the lowest-energy case and ΞcD(72%) for the highest-energy one. In addition, it seems that some narrow resonances can also be found in each allowed I(JP) channel in the energy region of 4.65.5 GeV, except for the 1(12) channel where a shallow bound state with dominant ΞcD structure is obtained at 4673 MeV with binding energy EB=3 MeV. These exotic states are expected to be confirmed in future high-energy experiments. Full article
(This article belongs to the Section Physics)
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23 pages, 549 KB  
Article
Quark Clusters, QCD Vacuum and the Cosmological 7Li, Dark Matter and Dark Energy Problems
by Rachid Ouyed, Denis Leahy, Nico Koning and Prashanth Jaikumar
Universe 2024, 10(3), 115; https://doi.org/10.3390/universe10030115 - 1 Mar 2024
Cited by 3 | Viewed by 1718
Abstract
We propose a non-exotic electromagnetic solution (within the standard model of particle physics) to the cosmological 7Li problem based upon a narrow 2 MeV photo-emission line from the decay of light glueballs (LGBs). These LGBs form within color superconducting quark clusters (SQCs), [...] Read more.
We propose a non-exotic electromagnetic solution (within the standard model of particle physics) to the cosmological 7Li problem based upon a narrow 2 MeV photo-emission line from the decay of light glueballs (LGBs). These LGBs form within color superconducting quark clusters (SQCs), which are tens of Fermi in size, in the radiation-dominated post-BBN epoch. The mono-chromatic line from the LGBγ+γ decay reduces Big Bang nucleosynthesis (BBN) 7Be by 2/3 without affecting other abundances or the cosmic microwave background (CMB) physics, provided the combined mass of the SQCs is greater than the total baryonic mass in the universe. Following the LGB emission, the in-SQC Quantum ChromoDynamics (QCD) vacuum becomes unstable and “leaks” (via quantum tunneling) into the external space-time (trivial) vacuum, inducing a decoupling of SQCs from hadrons. In seeking a solution to the 7Li problem, we uncovered a solution that also addresses the Dark Energy (DE) and dark matter (DM) problem, making these critical problems intertwined in our model. Being colorless, charge-neutral, optically thin, and transparent to hadrons, SQCs interact only gravitationally, making them a viable cold DM (CDM) candidate. The leakage (i.e., quantum tunneling) of the in-SQC QCD vacuum to the trivial vacuum offers an explanation of DE in our model and allows for a cosmology that evolves into a ΛCDM universe at a low redshift with a possible resolution of the Hubble tension. Our model distinguishes itself by proposing that the QCD vacuum within SQCs possesses the ability to tunnel into the exterior trivial vacuum, resulting in the generation of DE. This implies the possibility that DM and hadrons might represent distinct phases of quark matter within the framework of QCD, characterized by different vacuum properties. We discuss SQC formation in heavy-ion collision experiments at moderate temperatures and the possibility of detection of MeV photons from the LGBγ+γ decay. Full article
(This article belongs to the Section Cosmology)
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10 pages, 535 KB  
Review
Multiplicity Dependence of Quarkonium Production
by Zaida Conesa del Valle
Universe 2024, 10(2), 59; https://doi.org/10.3390/universe10020059 - 29 Jan 2024
Cited by 1 | Viewed by 1389
Abstract
Recent measurements on heavy-flavour production as a function of charged-particle multiplicity at the LHC are discussed. Focus is given to quarkonium results in small (pp or pPb) collision systems. The measurements of relative yields, i.e., the ratio of the particle yields in given [...] Read more.
Recent measurements on heavy-flavour production as a function of charged-particle multiplicity at the LHC are discussed. Focus is given to quarkonium results in small (pp or pPb) collision systems. The measurements of relative yields, i.e., the ratio of the particle yields in given multiplicity intervals to the multiplicity integrated yield are presented and compared to model calculations from Monte Carlo event generators as well as to models considering effects at play in the initial and/or final state of the collision. The absolute inclusive J/ψ yield as a function of the absolute charged-particle multiplicity is evaluated; a smooth behaviour of the absolute yield is observed across collision systems, from pp to pPb and PbPb collisions. Analogous measurements of the excited-to-ground state quarkonium ratios as a function of charged-particle multiplicity are also reviewed. Finally, the study of exotic particle production as a function of charged-particle multiplicity is introduced as a complementary tool to investigate the nature of the χc1(3872) hadron. Full article
(This article belongs to the Special Issue Relativistic Heavy Ion Collision)
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12 pages, 373 KB  
Article
Mission Target: Tetraquark Mesons of Flavour-Cryptoexotic Type
by Wolfgang Lucha
Universe 2023, 9(8), 358; https://doi.org/10.3390/universe9080358 - 31 Jul 2023
Cited by 2 | Viewed by 2143
Abstract
Currently, flavour-cryptoexotic tetraquarks form the most common sort of all experimentally established exotic multiquark hadrons. This note points out a few promising concepts that should help improve theoretical (but, for several reasons, not quite straightforward) analyses of this kind of states; among others, [...] Read more.
Currently, flavour-cryptoexotic tetraquarks form the most common sort of all experimentally established exotic multiquark hadrons. This note points out a few promising concepts that should help improve theoretical (but, for several reasons, not quite straightforward) analyses of this kind of states; among others, their scope of application encompasses the strong interactions in the limit of (arbitrarily) large numbers of colours, and equally analytical and nonperturbative approaches to multiquark states. Full article
(This article belongs to the Special Issue Recent Progress in Hadron Spectroscopy)
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76 pages, 2612 KB  
Review
Tetraquarks and Pentaquarks from Quark Model Perspective
by Hongxia Huang, Chengrong Deng, Xuejie Liu, Yue Tan and Jialun Ping
Symmetry 2023, 15(7), 1298; https://doi.org/10.3390/sym15071298 - 22 Jun 2023
Cited by 37 | Viewed by 4330
Abstract
According to the classification of the quark model, the hadrons going beyond three-quark baryon and quark-antiquark meson pictures are called exotic hadrons. Many new hadrons have been observed since 2003, some of which exhibit exotic behaviors. There are a lot of excellent review [...] Read more.
According to the classification of the quark model, the hadrons going beyond three-quark baryon and quark-antiquark meson pictures are called exotic hadrons. Many new hadrons have been observed since 2003, some of which exhibit exotic behaviors. There are a lot of excellent review articles on exotic hadrons available so far; the present article tries to focus on the recent experimental and theoretical progress on the exotic states from the perspective of the quark model. Although lattice quantum chromodynamics may give the final answer of the problem, the phenomenological models are still powerful tools to explore the exotic states and to provide insight on the phenomenology of hadrons. The spatial and color structures of multiquark states and the channel coupling calculation are emphasized through reviewing some bound states, molecular and color structure resonances. Finally, the unquench effects of some exotic states are reviewed. With the accumulation of experimental data on multiquark states and inspiration of underlying theory developments, more reasonable phenomenological models incorporating multi-body interactions and high Fock components to unify the description of normal hadrons and exotic hadrons are expectable. Full article
(This article belongs to the Special Issue Physics and Symmetry Section: Feature Papers 2022)
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