Heavy meson spectroscopy under strong magnetic field

Abstract

Spectra of the neutral heavy mesons, ${\eta }_c(1S,2S)$, $J/\psi$, $\psi (2S)$, ${\eta }_b(1S,2S,3S)$, ${\rm Y}(1S,2S,3S)$, $D$, $D^{\ast }$, $B$, $B^{\ast }$, $B_s$ and $B_s^{\ast }$, in a homogeneous magnetic field are analyzed in a potential model of constituent quarks. To obtain anisotropic wave functions and the corresponding eigenvalues, the cylindrical Gaussian expansion method is applied, where the wave functions for transverse and longitudinal directions in the cylindrical coordinate are expanded by the Gaussian bases separately. Energy level structures in the wide range of magnetic fields are obtained and the deformation of the wave functions is shown, which reflects effects of the spin mixing, the Zeeman splitting and quark Landau levels. The contribution from the magnetic catalysis in heavy-light mesons is discussed as a change of the light constituent quark mass.

arXiv comment21 pages, 15 figures

References in corpus (141)

• The effects of topological charge change in heavy ion collisions: "Event by event P and CP violation"
• Estimate of the magnetic field strength in heavy-ion collisions
• Higher Charmonia
• Event-by-event generation of electromagnetic fields in heavy-ion collisions
• The QCD phase diagram for external magnetic fields
• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• Electromagnetic field evolution in relativistic heavy-ion collisions
• QCD quark condensate in external magnetic fields
• Maximum Entropy Analysis of the Spectral Functions in Lattice QCD
• Event-by-event fluctuations of magnetic and electric fields in heavy ion collisions
• Dimensional Reduction and Catalysis of Dynamical Symmetry Breaking by a Magnetic Field
• Properties of heavy quarkonia and B_c mesons in the relativistic quark model
• "Strongly interacting matter in magnetic fields": an overview
• Electromagnetic fields and anomalous transports in heavy-ion collisions --- A pedagogical review
• Dimensional Reduction and Dynamical Chiral Symmetry Breaking by a Magnetic Field in $3+1$ Dimensions
• Inverse magnetic catalysis and the Polyakov loop
• QCD Phase Transition in a Strong Magnetic Background
• Phase diagram of hot QCD in an external magnetic field: possible splitting of deconfinement and chiral transitions
• Quark matter under strong magnetic fields in the Nambu--Jona-Lasinio Model
• The QCD equation of state in background magnetic fields
• Quark condensate in a magnetic field
• Dynamical Flavor Symmetry Breaking by a Magnetic Field in $2+1$ Dimensions
• Superconductivity of QCD vacuum in strong magnetic field
• Inverse magnetic catalysis in dense holographic matter
• The Importance of Asymptotic Freedom for the Pseudocritical Temperature in Magnetized Quark Matter
• Chiral magnetic effect in the PNJL model
• Magnetic Catalysis vs Magnetic Inhibition
• Magnetic catalysis and anisotropic confinement in QCD
• Azimuthally fluctuating magnetic field and its impacts on observables in heavy-ion collisions
• Deconfinement and Chiral Symmetry Restoration in a Strong Magnetic Background
• Inverse magnetic catalysis in the (2+1)-flavor Nambu--Jona-Lasinio and Polyakov--Nambu--Jona-Lasinio models
• Spontaneous electromagnetic superconductivity of vacuum in strong magnetic field: evidence from the Nambu--Jona-Lasinio model
• Chiral transition in a strong magnetic background
• Magnetic field-induced gluonic (inverse) catalysis and pressure (an)isotropy in QCD
• Chiral Properties of Strong Interactions in a Magnetic Background
• Quark matter under strong magnetic fields in the su(3) Nambu-Jona-Lasinio Model
• Magnetic Oscillations in Dense Cold Quark Matter with Four-Fermion Interactions
• Dressed Polyakov loop and phase diagram of hot quark matter under magnetic field
• Inverse magnetic catalysis induced by sphalerons
• Quark-hadron phase transition in a magnetic field
• Quark Antiscreening at Strong Magnetic Field and Inverse Magnetic Catalysis
• Charged vector mesons in a strong magnetic field
• Inverse magnetic catalysis for the chiral transition induced by thermo-magnetic effects on the coupling constant
• The chiral condensate in a constant electromagnetic field
• Deconfinement and chiral restoration within the SU(3) Polyakov--Nambu--Jona-Lasinio and entangled Polyakov--Nambu--Jona-Lasinio models in an external magnetic field
• Charmonia and Bottomonia in a Magnetic Field
• Inverse magnetic catalysis in the linear sigma model with quarks
• Numerical study of chiral symmetry breaking in non-Abelian gauge theory with background magnetic field
• The quark mass gap in a magnetic field
• Catalysis of Dynamical Flavor Symmetry Breaking by a Magnetic Field in $2+1$ Dimensions
• Deconfinement transition in two-flavour lattice QCD with dynamical overlap fermions in an external magnetic field
• QCD sum rules for D and B mesons in nuclear matter
• Magnetic catalysis in hot and dense quark matter and quantum fluctuations
• The influence of strong magnetic fields and instantons on the phase structure of the two-flavor NJL model
• Phase diagram in an external magnetic field beyond a mean-field approximation
• Quark droplets stability induced by external magnetic field
• Spontaneous generation of local CP violation and inverse magnetic catalysis
• Properties of neutral mesons in a hot and magnetized quark matter
• Phase diagram of hot magnetized two-flavor color superconducting quark matter
• Four-fermion Interaction Model in a Constant Magnetic Field at Finite Temperature and Chemical Potential
• Two-color QCD with staggered fermions at finite temperature under the influence of a magnetic field
• The melting of charmonium in a magnetic field from an effective AdS/QCD model
• Anisotropy of the quark-antiquark potential in a magnetic field
• Weak decay constant of neutral pions in a hot and magnetized quark matter
• The Quark and Gluon Condensates and Low-Energy QCD Theorems in a Magnetic Field
• Quarkonium dissociation in quark-gluon plasma via ionization in magnetic field
• Magnetic polarizabilities of light mesons in $SU(3)$ lattice gauge theory
• Magnetic Field Effect on Charmonium Production in High Energy Nuclear Collisions
• Inverse magnetic catalysis in holographic models of QCD
• Magnetic catalysis (and inverse catalysis) at finite temperature in two-color lattice QCD
• A search for inverse magnetic catalysis in thermal quark-meson models
• QCD vacuum structure in strong magnetic fields
• Heavy quarkonia in strong magnetic fields
• Chiral dynamics in a magnetic field from the functional renormalization group
• Magnetic Susceptibility of the Quark Condensate and Polarization from Chiral Models
• Entanglement between chiral and deconfinement transitions under strong uniform magnetic background field
• Charmonium Spectroscopy in Strong Magnetic Fields by QCD Sum Rules: S-Wave Ground States
• Electric Fields and Chiral Magnetic Effect in Cu + Au Collisions
• Dynamical quark mass generation in a strong external magnetic field
• D mesons in a magnetic field
• Thermal pions in a magnetic background
• Charmonium potential from full lattice QCD
• The Chiral Magnetic Effect and chiral symmetry breaking in SU(3) quenched lattice gauge theory
• Heavy quarkonium production in a strong magnetic field
• Charged and neutral vector meson under magnetic field
• Magnetic effects in heavy-ion collisions at intermediate energies
• QCD sum rules for magnetically induced mixing between ${\eta }_c$ and $J/\psi$
• The chiral transition in a magnetic background: Finite density effects and the functional renormalization group
• Chiral transition in a magnetic field and at finite baryon density
• Gell-Mann - Oakes - Renner relation in a magnetic field at finite temperature
• Meson Spectrum in Strong Magnetic Fields
• Vacuum structure and chiral symmetry breaking in strong magnetic fields for hot and dense quark matter
• Properties of Mesons in a Strong Magnetic Field
• Anisotropic heavy quark potential in strongly-coupled $\mathcal{N}=4$ SYM in a magnetic field
• Heavy quark dynamics for charm and bottom flavor on Fermi surface at zero temperature
• Black Hole Instability Induced by a Magnetic Field
• RG analysis of magnetic catalysis in Dynamical symmetry breaking
• Modification of the B Meson Mass in a Magnetic Field from QCD Sum Rules
• Chiral and deconfinement transitions in a magnetic background using the functional renormalization group with the Polyakov loop
• Nambu-Goldstone mesons in strong magnetic field
• Magnetic catalysis in nuclear matter
• Holographic rho mesons in an external magnetic field
• QCD Kondo effect: quark matter with heavy-flavor impurities
• A Bayesian approach to QCD sum rules
• Electromagnetic superconductivity of vacuum induced by strong magnetic field: numerical evidence in lattice gauge theory
• Asymptotic freedom in strong magnetic field
• Inverse Magnetic Catalysis in the three-flavor NJL model with axial-vector interaction
• Inverse magnetic catalysis and regularization in the quark-meson model
• D meson mass increase by restoration of chiral symmetry in nuclear matter
• Renormalization Group Study of Magnetic Catalysis in the 3d Gross-Neveu Model
• Hadron Masses in Strong Magnetic Fields
• D mesons at finite temperature and density in the PNJL model
• $\rho$ mesons in strong abelian magnetic field in SU(3) lattice gauge theory
• Magnetically induced QCD Kondo effect
• Holographic deconfinement transition in the presence of a magnetic field
• SU(3) Polyakov Linear Sigma-Model in an External Magnetic Field
• Quark gap equation in an external magnetic field
• Vafa-Witten theorem, vector meson condensates and magnetic-field-induced electromagnetic superconductivity of vacuum
• Kondo effect in charm/bottom nuclei
• QCD effective potential with strong U(1)_{em} magnetic fields
• Mass degeneracy of the heavy-light mesons with chiral partner structure in the half-skyrmion phase
• Vector Meson Masses from Hidden Local Symmetry in Constant Magnetic Field
• Quark matter under strong magnetic field in chiral models
• Fate of charmed mesons near chiral symmetry restoration in hot matter
• Background magnetic field stabilizes QCD string against breaking
• The chiral condensate in a constant electromagnetic field at O(p^6)
• Potential description of charmonium and charmed-strange mesons from lattice QCD
• $J/\psi$ Production by Magnetic Excitation of ${\eta }_c$
• Cigar-shaped quarkonia under strong magnetic field
• $\rho$ condensation and physical parameters
• Neutron in Strong Magnetic Fields
• Comment on "Charged vector mesons in a strong magnetic field"
• Amending the Vafa-Witten Theorem
• SU(3) Polyakov Linear $\sigma$-Model in Magnetic Field: Thermodynamics, Higher-Order Moments, Chiral Phase Structure and Meson Masses
• Lattice QCD estimate of the ${\eta }_c(2S)\to J/\psi \gamma$ decay rate
• The mass of heavy-light mesons in a constituent quark picture with partially restored chiral symmetry
• The Gross-Neveu Model and the Supersymmetric and Non-Supersymmetric Nambu-Jona-Lasinio Model in a Magnetic Field
• Magnetic response of baryon properties in a skyrmion model
• A magnetic instability of the non-Abelian Sakai-Sugimoto model
• QCD sum rules on the complex Borel plane
• Radiative transitions of charmonium states in a constituent quark model

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• Neutral meson properties in hot and magnetized quark matter: a new magnetic field independent regularization scheme applied to NJL-type model
• Confining gauge theories and holographic entanglement entropy with a magnetic field
• Neutral and charged (pseduo)scalar mesons and diquarks under magnetic fields
• Holographic estimate of heavy quark diffusion in a magnetic field
• A review of quarkonia under strong magnetic fields
• The pole and screening masses of neutral pion in hot and magnetized medium: a comprehensive study in the Nambu--Jona-Lasinio model
• Magnetic field dependence of the neutral pion mass in the linear sigma model with quarks: The strong field case
• Confining and chiral properties of QCD in extremely strong magnetic fields
• Effects of a strong magnetic field on the QCD flux tube
• Delayed versus accelerated quarkonium formation in a magnetic field
• Entropic force and real-time dynamics of holographic quarkonium in a magnetic field
• Magnetic corrections to the boson self-coupling and boson-fermion coupling in the linear sigma model with quarks
• Charmonium transition in electromagnetic and rotational fields
• Mass spectra of neutral mesons $K_0,{\pi }_0,\eta ,{\eta }^{\prime }$ at finite magnetic field, temperature and baryon chemical potential
• Modification of the masses of the lightest neutral mesons in a hadronic medium under an external magnetic field
• Hadronic Paschen-Back effect
• Renormalons in a scalar self interacting theory: thermal, thermomagnetic and thermoelectric corrections for all values of temperature
• Quarkonium radiative decays from the hadronic Paschen-Back effect
• Magnetic field dependence of the neutral pion longitudinal screening mass in the linear sigma model with quarks
• Survival probabilities of charmonia as a clue to measure transient magnetic fields
• Catalysis and inverse electric catalysis in a scalar theory
• Thermomagnetic renormalons in a scalar self-interacting $\lambda {\varphi }^4$ theory
• Magnetic renormalons in a scalar self interacting $\lambda {\varphi }^4$ theory
• Heavy quarkonia in QGP medium in an arbitrary magnetic field
• Meson deformation by magnetic fields in lattice QCD
• $D$ mesons as a probe of Casimir effect for chiral symmetry breaking
• Open bottom mesons in magnetized matter -- effects of (inverse) magnetic catalysis
• Magneto-rotational dissociation of heavy hadrons in Relativistic Heavy-Ion Collisions
• Quantum color screening in external magnetic field
• Magnetic field induced hair structure in charmonium gluon-dissociation
• Dirac sea effects on Heavy Quarkonia decay widths in magnetized matter -- a field theoretic model of composite hadrons
• Relativistic dynamics of charmonia in strong magnetic fields
• Strongly interacting matter in extreme magnetic fields
• Structure of heavy quarkonia in a strong magnetic field
• Landau-Zener-Stückelberg-Majorana dynamics of magnetized quarkonia
• Quarkonium spectra with magnetically induced anisotropic confinement