QCD sum rule analysis of Heavy Quarkonium states in magnetized matter -- effects of (inverse) magnetic catalysis

Abstract

The masses of the $1S$ and $1P$ states of heavy quarkonia are investigated in the magnetized, asymmetric nuclear medium, accounting for the Dirac sea effects, using a combined approach of chiral effective model and QCD sum rule method. These are calculated from the in-medium scalar and twist-2 gluon condensates, calculated within the chiral model. The gluon condensate is simulated through the scalar dilaton field, $\chi$ introduced in the model through a scale-invariance breaking logarithmic potential. Considering the scalar fields to be classical, the dilaton field, $\chi$, the non-strange isoscalar, $\sigma (\sim (⟨\bar{u}u⟩+⟨\bar{d}d⟩))$, strange isoscalar, $\zeta (\sim ⟨\bar{s}s⟩)$ and non-strange isovector, $\delta (\sim (⟨\bar{u}u⟩-⟨\bar{d}d⟩)$) fields, are obtained by solving their coupled equations of motion, as derived from the chiral model Lagrangian. The effects of magnetic field due to the Dirac sea as well as the Landau energy levels of protons, and the non-zero anomalous magnetic moments of the nucleons are considered in the present study. In presence of an external magnetic field, there is also mixing between the longitudinal component of the vector meson and pseudoscalar meson (PV mixing) in both quarkonia sectors, leading to a rise (drop) of the masses of $J/{\psi }^{||}({\eta }_c$) and ${{\rm Y}}^{||}(1S)({\eta }_b$) states. These might show in the experimental observables, e.g., the dilepton spectra in the non-central, ultra-relativistic heavy ion collision experiments at RHIC and LHC, where the produced magnetic field is huge.

arXiv comment36 pages, 13 figures, version published in Phys. Rev. D

References in corpus (65)

• The Chiral Magnetic Effect
• 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
• Event-by-event generation of electromagnetic fields in heavy-ion collisions
• "Strongly interacting matter in magnetic fields": an overview
• The Equation of State of Neutron-Star Matter in Strong Magnetic Fields
• Nuclei in a chiral SU(3) model
• 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
• Chiral magnetic effect in the PNJL model
• Magnetic field-induced gluonic (inverse) catalysis and pressure (an)isotropy in QCD
• Quark matter under strong magnetic fields in the su(3) Nambu-Jona-Lasinio Model
• Mass modification of D-meson at finite density in QCD sum rule
• Potential model calculations and predictions for heavy quarkonium
• Effects of Strong Magnetic Fields in Strange Baryonic Matter
• Charmonia and Bottomonia in a Magnetic Field
• J/psi and eta_c in the nuclear medium: QCD sum rule approach
• Heavy Hadrons in Nuclear Matter
• QCD sum rules for D and B mesons in nuclear matter
• Hybrid Stars in a Strong Magnetic Field
• An Effective Lagrangian with Broken Scale and Chiral Symmetry Applied to Nuclear Matter and Finite Nuclei
• Nuclear-bound quarkonia and heavy-flavor hadrons
• Mass Shift and Width Broadening of J/psi in hot gluonic plasma from QCD Sum Rules
• Charmonium mass in nuclear matter
• Charmonium Spectroscopy in Strong Magnetic Fields by QCD Sum Rules: S-Wave Ground States
• D mesons in a magnetic field
• Critical behavior of charmonia across the phase transition: A QCD sum rule approach
• J/Psi mass shift in nuclear matter
• Heavy quarkonium production in a strong magnetic field
• QCD sum rules for magnetically induced mixing between ${\eta }_c$ and $J/\psi$
• QCD sum rules for J/psi in the nuclear medium: calculation of the Wilson coefficients of gluon operators up to dimension 6
• Study of the neutron star structure in strong magnetic fields including the anomalous magnetic moments
• Effects of Dirac sea polarization on hadronic properties - A chiral SU(3) approach
• Vacuum structure and chiral symmetry breaking in strong magnetic fields for hot and dense quark matter
• Magnetic catalysis in nuclear matter
• $J/\psi$ and ${\eta }_c$ masses in isospin asymmetric hot nuclear matter - a QCD sum rule approach
• In-medium vector meson masses in a Chiral SU(3) model
• Effect of isovector-scalar meson on neutron star matter in strong magnetic fields
• In-medium mass modifications of the $D_0$ and $B_0$ mesons with the QCD sum rules
• Chiral QCD sum rules for open charm mesons
• Charm and hidden charm scalar mesons in the nuclear medium
• D mesons in strongly magnetized asymmetric nuclear matter
• In-medium operator product expansion for heavy-light-quark pseudoscalar mesons
• A review of quarkonia under strong magnetic fields
• Analysis of the heavy mesons in the nuclear matter with the QCD sum rules
• Thermal modification of bottomonium spectra from QCD sum rules with the maximum entropy method
• Open bottom mesons in hot asymmetric hadronic medium
• Effect of external magnetic field on nucleon mass in hot and dense medium : Inverse Magnetic Catalysis in Walecka Model
• Bottomonium states in hot asymmetric strange hadronic matter
• Charmonium mass in hot and dense hadronic matter
• Properties of $J/\psi$ at $T_c$: QCD second-order Stark effect
• Light vector meson masses in strange hadronic matter -- a QCD sum rule approach
• Open bottom mesons in asymmetric nuclear matter in presence of strong magnetic fields
• Charmonium states in strong magnetic fields
• Delayed versus accelerated quarkonium formation in a magnetic field
• Masses and Decay widths of Charmonium states in presence of strong magnetic fields
• In-medium modification of P-wave charmonia from QCD sum rules
• Bottom-strange mesons in hyperonic matter
• Charmonium decay widths in magnetized matter
• Decay widths of bottomonium states in matter -- a field theoretic model for composite hadrons
• Charm and Hidden Charm Scalar Resonances in Nuclear Matter
• A self-consistent study of magnetic field effects on hybrid stars
• Charmonia and Bottomonia in asymmetric magnetized hot nuclear matter
• Light vector mesons ($\omega$, $\rho$ and $\varphi$) in strong magnetic fields: A QCD sum rule approach

Cited by in corpus (6)

• Open bottom mesons in magnetized matter -- effects of (inverse) magnetic catalysis
• Relativistic dynamics of charmonia in strong magnetic fields
• Structure of heavy quarkonia in a strong magnetic field
• Landau-Zener-Stückelberg-Majorana dynamics of magnetized quarkonia
• Possibility of quantum Hall effect in dense quark matter environments: A chiral model approach
• Quarkonium spectra with magnetically induced anisotropic confinement