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Keywords = heavy quark effective theory

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12 pages, 384 KB  
Article
QCD Sum Rule Study of Topped Mesons Within Heavy Quark Effective Theory
by Shu-Wei Zhang, Xuan Luo, Hui-Min Yang and Hua-Xing Chen
Universe 2025, 11(10), 334; https://doi.org/10.3390/universe11100334 - 9 Oct 2025
Cited by 3 | Viewed by 854
Abstract
Motivated by the recent CMS observation of a near-threshold enhancement in top quark pair production, we investigate a novel class of hadronic systems containing a single top quark: the topped mesons (tq¯, with [...] Read more.
Motivated by the recent CMS observation of a near-threshold enhancement in top quark pair production, we investigate a novel class of hadronic systems containing a single top quark: the topped mesons (tq¯, with q¯=u¯,d¯,s¯). In contrast to the extensively studied toponium (tt¯) system—analyzed primarily within perturbative QCD—topped mesons offer a complementary nonperturbative probe of QCD dynamics in the heavy quark limit. These states are expected to exhibit longer lifetimes and narrower decay widths than toponium, as only a single top quark undergoes weak decay. We employ QCD sum rules within the framework of heavy quark effective theory to study the structure and mass spectrum of ground-state topped mesons. Our analysis predicts masses near 173.1 GeV, approximately 0.5–0.6 GeV above the top quark pole mass. Compared with singly topped baryons (tqq, with q=u,d,s), topped mesons have a simpler quark composition and more favorable decay channels (a topped meson is anticipated to decay weakly into a Υ meson and a charmed meson), enhancing their potential for both theoretical analysis and experimental discovery. Full article
(This article belongs to the Section High Energy Nuclear and Particle Physics)
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22 pages, 377 KB  
Article
An Effective Field Theory Study of Medium Heavy Quark Evolution
by Miguel Ángel Escobedo
Universe 2024, 10(1), 23; https://doi.org/10.3390/universe10010023 - 5 Jan 2024
Viewed by 2385
Abstract
The evolution of hard probes in a medium is a complex multiscale problem that significantly benefits from the use of Effective Field Theories (EFTs). Within the EFT framework, we aim to define a series of EFTs in a way that addresses each energy [...] Read more.
The evolution of hard probes in a medium is a complex multiscale problem that significantly benefits from the use of Effective Field Theories (EFTs). Within the EFT framework, we aim to define a series of EFTs in a way that addresses each energy scale individually in separate steps. However, studying hard probes in a medium presents challenges. This is because an EFT is typically constructed by formulating the most general Lagrangian compatible with the problem’s symmetries. Nevertheless, medium effects may not always be encoded adequately in an effective action. In this paper, we construct an EFT that is valid for studying the evolution of a heavy quark in a QCD plasma containing few other heavy quarks, where degrees of freedom with an energy of the order of the temperature scale are integrated out. Through this example, we explicitly demonstrate how to handle the doubling of degrees that arise in non-equilibrium field theory. As a result, we derive a Fokker–Planck equation using only symmetry and power counting arguments. The methods introduced in this paper will pave the way for future developments in the study of quarkonium suppression. Full article
(This article belongs to the Special Issue Relativistic Heavy Ion Collision)
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12 pages, 1124 KB  
Article
Effect of a Wake-Field on the Dissociation of Quarkonium in Collisional Quark–Gluon Plasma
by Yernur Kuanyshbaiuly, Ardak Junissov and Mukhit Muratov
Particles 2023, 6(4), 886-897; https://doi.org/10.3390/particles6040057 - 12 Oct 2023
Viewed by 1871
Abstract
We have studied wake effects on the dissociation of heavy quarkonia states J/ψ and Y by introducing an in-medium modification to the inter-quark potential. The wakes in the quark–gluon plasma were modeled using linear response theory using a dynamic dielectric function obtained from [...] Read more.
We have studied wake effects on the dissociation of heavy quarkonia states J/ψ and Y by introducing an in-medium modification to the inter-quark potential. The wakes in the quark–gluon plasma were modeled using linear response theory using a dynamic dielectric function obtained from kinetic theory (Boltzmann equation) with a Bhatnagar–Gross–Krook (BGK) collision term. The in-medium modified potential was used to investigate the dissociation character depending on various parameters such as the velocity of quarkonium moving through the medium and the collision frequency. We have also calculated critical values of the dissociation temperature. Modifications of the dissociation energy due to wake-field effects were found. Full article
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9 pages, 381 KB  
Article
Electromagnetic Response in an Expanding Quark–Gluon Plasma
by Igor A. Shovkovy
Particles 2022, 5(4), 442-450; https://doi.org/10.3390/particles5040034 - 22 Oct 2022
Cited by 12 | Viewed by 2485
Abstract
The validity of conventional Ohm’s law is tested in the context of a rapidly evolving quark–gluon plasma produced in heavy-ion collisions. Here, we discuss the electromagnetic response using an analytical solution in kinetic theory. As conjectured previously, after switching on an electric field [...] Read more.
The validity of conventional Ohm’s law is tested in the context of a rapidly evolving quark–gluon plasma produced in heavy-ion collisions. Here, we discuss the electromagnetic response using an analytical solution in kinetic theory. As conjectured previously, after switching on an electric field in a nonexpanding plasma, the time-dependent current is given by J(t)=(1et/τ0)σ0E, where τ0 is the transport relaxation time and σ0 is the steady-state electrical conductivity. Such an incomplete electromagnetic response reduces the efficiency of the magnetic flux trapping in the quark–gluon plasma, and may prevent the observation of the chiral magnetic effect. Here, we extend the study to the case of a rapidly expanding plasma. We find that the decreasing temperature and the increasing transport relaxation time have opposite effects on the electromagnetic response. While the former suppresses the time-dependent conductivity, the latter enhances it. Full article
(This article belongs to the Special Issue 2022 Feature Papers by Particles’ Editorial Board Members)
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31 pages, 2392 KB  
Review
Degeneracy Patterns of Chiral Companions at Finite Temperature
by Juan M. Torres-Rincon
Symmetry 2021, 13(8), 1400; https://doi.org/10.3390/sym13081400 - 1 Aug 2021
Cited by 5 | Viewed by 3140
Abstract
Chiral symmetry represents a fundamental concept lying at the core of particle and nuclear physics. Its spontaneous breaking in vacuum can be exploited to distinguish chiral hadronic partners, whose masses differ. In fact, the features of this breaking serve as guiding principles for [...] Read more.
Chiral symmetry represents a fundamental concept lying at the core of particle and nuclear physics. Its spontaneous breaking in vacuum can be exploited to distinguish chiral hadronic partners, whose masses differ. In fact, the features of this breaking serve as guiding principles for the construction of effective approaches of QCD at low energies, e.g., the chiral perturbation theory, the linear sigma model, the (Polyakov)–Nambu–Jona-Lasinio model, etc. At high temperatures/densities chiral symmetry can be restored bringing the chiral partners to be nearly degenerated in mass. At vanishing baryochemical potential, such restoration follows a smooth transition, and the chiral companions reach this degeneration above the transition temperature. In this work I review how different realizations of chiral partner degeneracy arise in different effective theories/models of QCD. I distinguish the cases where the chiral states are either fundamental degrees of freedom or (dynamically-generated) composed states. In particular, I discuss the intriguing case in which chiral symmetry restoration involves more than two chiral partners, recently addressed in the literature. Full article
(This article belongs to the Special Issue Advances on Chiral Symmetry and Its Restoration)
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21 pages, 434 KB  
Article
Nonequilibrium Dynamics of the Chiral Quark Condensate under a Strong Magnetic Field
by Gastão Krein and Carlisson Miller
Symmetry 2021, 13(4), 551; https://doi.org/10.3390/sym13040551 - 26 Mar 2021
Cited by 8 | Viewed by 4069
Abstract
Strong magnetic fields impact quantum-chromodynamics (QCD) properties in several situations; examples include the early universe, magnetars, and heavy-ion collisions. These examples share a common trait—time evolution. A prominent QCD property impacted by a strong magnetic field is the quark condensate, an approximate order [...] Read more.
Strong magnetic fields impact quantum-chromodynamics (QCD) properties in several situations; examples include the early universe, magnetars, and heavy-ion collisions. These examples share a common trait—time evolution. A prominent QCD property impacted by a strong magnetic field is the quark condensate, an approximate order parameter of the QCD transition between a high-temperature quark-gluon phase and a low-temperature hadronic phase. We use the linear sigma model with quarks to address the quark condensate time evolution under a strong magnetic field. We use the closed time path formalism of nonequilibrium quantum field theory to integrate out the quarks and obtain a mean-field Langevin equation for the condensate. The Langevin equation features dissipation and noise kernels controlled by a damping coefficient. We compute the damping coefficient for magnetic field and temperature values achieved in peripheral relativistic heavy-ion collisions and solve the Langevin equation for a temperature quench scenario. The magnetic field changes the dissipation and noise pattern by increasing the damping coefficient compared to the zero-field case. An increased damping coefficient increases fluctuations and time scales controlling condensate’s short-time evolution, a feature that can impact hadron formation at the QCD transition. The formalism developed here can be extended to include other order parameters, hydrodynamic modes, and system’s expansion to address magnetic field effects in complex settings as heavy-ion collisions, the early universe, and magnetars. Full article
(This article belongs to the Special Issue Advances in Chiral Quark Models)
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12 pages, 256 KB  
Article
Heavy Quark Symmetry and Fine Structure of the Spectrum of Hadronic Dark Matter
by Vladimir Kuksa and Vitaly Beylin
Symmetry 2020, 12(11), 1906; https://doi.org/10.3390/sym12111906 - 20 Nov 2020
Cited by 2 | Viewed by 2231
Abstract
We analyze the structure of excited states of new heavy hadrons in the scenario with hadronic dark matter. Fine mass-splitting in a doublet of new mesons stipulates the existence of charged metastable heavy mesons. We describe the structure of new meson excited states [...] Read more.
We analyze the structure of excited states of new heavy hadrons in the scenario with hadronic dark matter. Fine mass-splitting in a doublet of new mesons stipulates the existence of charged metastable heavy mesons. We describe the structure of new meson excited states in the framework of the heavy quark effective theory. Phenomenological consequences of fine and hyperfine splitting are considered in the hadronic dark matter scenario and beyond. Full article
19 pages, 783 KB  
Article
Identifying the Λb(6146)0 and Λb(6152)0 as D-Wave Bottom Baryons
by Qiang Mao, Hua-Xing Chen and Hui-Min Yang
Universe 2020, 6(6), 86; https://doi.org/10.3390/universe6060086 - 23 Jun 2020
Cited by 10 | Viewed by 3209
Abstract
We study the Λ b ( 6146 ) 0 and Λ b ( 6152 ) 0 recently observed by LHCb using the method of Quantum Chromodynamics (QCD) sum rules within the framework of heavy quark effective theory. Our results suggest that they can [...] Read more.
We study the Λ b ( 6146 ) 0 and Λ b ( 6152 ) 0 recently observed by LHCb using the method of Quantum Chromodynamics (QCD) sum rules within the framework of heavy quark effective theory. Our results suggest that they can be interpreted as D-wave bottom baryons of J P = 3 / 2 + and 5 / 2 + respectively, both of which contain two λ -mode excitations. We also investigate other possible assignments containing ρ -mode excitations. We extract all the parameters that are necessary to study their decay properties when using the method of light-cone sum rules. We predict masses of their strangeness partners to be m Ξ b ( 3 / 2 + ) = 6.26 0.14 + 0.11 GeV and m Ξ b ( 5 / 2 + ) = 6.26 0.14 + 0.11 GeV with the mass splitting Δ M = m Ξ b ( 5 / 2 + ) m Ξ b ( 3 / 2 + ) = 4.5 1.5 + 1.9 MeV, and propose to search for them in future CMS, EIC, and LHCb experiments. Full article
(This article belongs to the Section High Energy Nuclear and Particle Physics)
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