Masses of magnetized pseudoscalar and vector mesons in an extended NJL model: the role of axial vector mesons

Abstract

We study the mass spectrum of light pseudoscalar and vector mesons in the presence of an external uniform magnetic field $\vec{B}$, considering the effects of the mixing with the axial vector meson sector. The analysis is performed within a two-flavor NJL-like model which includes isoscalar and isovector couplings together with a flavor mixing 't Hooft-like term. The effect of the magnetic field on charged particles is taken into account by retaining the Schwinger phases carried by quark propagators, and expanding the corresponding meson fields in proper Ritus-like bases. The spin-isospin and spin-flavor decomposition of meson mass states is also analyzed. For neutral pion masses it is shown that the mixing with axial vector mesons improves previous theoretical results, leading to a monotonic decreasing behavior with $B$ that is in good qualitative agreement with LQCD calculations, both for the case of constant or $B$-dependent couplings. Regarding charged pions, it is seen that the mixing softens the enhancement of their mass with $B$. As a consequence, the energy becomes lower than the one corresponding to a pointlike pion, improving the agreement with LQCD results. The agreement is also improved for the magnetic behavior of the lowest ${\rho }^{+}$ energy state, which does not vanish for the considered range of values of $B$ -- a fact that can be relevant in connection with the occurrence of meson condensation for strong magnetic fields.

arXiv comment62 pages, 6 figures

References in corpus (82)

• The Chiral Magnetic Effect
• The effects of topological charge change in heavy ion collisions: "Event by event P and CP violation"
• QCD Phenomenology based on a Chiral Effective Lagrangian
• Estimate of the magnetic field strength in heavy-ion collisions
• Magnetic Fields in the Early Universe
• The QCD equation of state with dynamical quarks
• Chiral Magnetic and Vortical Effects in High-Energy Nuclear Collisions --- A Status Report
• 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
• Dimensional Reduction and Catalysis of Dynamical Symmetry Breaking by a Magnetic Field
• "Strongly interacting matter in magnetic fields": an overview
• Quark matter under strong magnetic fields in the Nambu--Jona-Lasinio Model
• The Importance of Asymptotic Freedom for the Pseudocritical Temperature in Magnetized Quark Matter
• Magnetic catalysis and anisotropic confinement in QCD
• 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 Lagrangians and Nambu-Jona-Lasinio like models
• Charged vector mesons in a strong magnetic field
• Inverse magnetic catalysis for the chiral transition induced by thermo-magnetic effects on the coupling constant
• Meson masses in electromagnetic fields with Wilson fermions
• ${\pi }_0$ pole mass calculation in a strong magnetic field and lattice constraints
• Properties of neutral mesons in a hot and magnetized quark matter
• Chiral perturbation theory in a magnetic background - finite-temperature effects
• Weak decay constant of neutral pions in a hot and magnetized quark matter
• Magnetic polarizabilities of light mesons in $SU(3)$ lattice gauge theory
• Chiral dynamics in a magnetic field from the functional renormalization group
• Chiral properties of (2+1)-flavor QCD in strong magnetic fields at zero temperature
• Charged and neutral vector meson under magnetic field
• Neutral meson properties in hot and magnetized quark matter: a new magnetic field independent regularization scheme applied to NJL-type model
• Gell-Mann - Oakes - Renner relation in a magnetic field at finite temperature
• Properties of magnetized neutral mesons within a full RPA evaluation
• Neutral and charged (pseduo)scalar mesons and diquarks under magnetic fields
• Properties of Mesons in a Strong Magnetic Field
• Effect of the anomalous magnetic moment of quarks on magnetized QCD matter and meson spectra
• NJL-type models in the presence of intense magnetic fields: the role of the regularization prescription
• Nambu-Goldstone mesons in strong magnetic field
• Magnetic catalysis in nuclear matter
• Pions in magnetic field at finite temperature
• Magnetized baryons and the QCD phase diagram: NJL model meets the lattice
• Charged pion masses under strong magnetic fields in the NJL model
• Magnetic field-dependence of the neutral pion mass in the linear sigma model coupled to quarks: The weak field case
• Meson properties in magnetized quark matter
• Neutral and charged pion properties under strong magnetic fields in the NJL model
• Magnetic catalysis and inverse magnetic catalysis in nonlocal chiral quark models
• Magnetized color superconducting cold quark matter within the SU(2)${}_f$ NJL model: a novel regularization scheme
• Recent progresses on QCD phases in a strong magnetic field -- views from Nambu--Jona-Lasinio model
• Hadron Masses in Strong Magnetic Fields
• The Evolution of Meson Masses in a Strong Magnetic Field
• Neutral meson properties under an external magnetic field in nonlocal chiral quark models
• $\rho$ mesons in strong abelian magnetic field in SU(3) lattice gauge theory
• Chiral pions in a magnetic background
• Pion decay constants in a strong magnetic field
• Effect of Quark Dimension Reduction on Goldstone Mode in Magnetic Field
• Spectral properties of $\rho$ meson in a magnetic field
• Chiral condensates and screening masses of neutral pseudoscalar mesons in thermomagnetic QCD medium
• Hadrons in Strong Electric and Magnetic Fields
• Effect of external magnetic field on nucleon mass in hot and dense medium : Inverse Magnetic Catalysis in Walecka Model
• Magnetic field dependence of the neutral pion mass in the linear sigma model with quarks: The strong field case
• Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field
• Vector Meson Masses from Hidden Local Symmetry in Constant Magnetic Field
• Determination of the properties of vector mesons in external magnetic field by Quenched $SU(3)$ Lattice QCD
• Strong magnetic fields in nonlocal chiral quark models
• QCD determination of the magnetic field dependence of QCD and hadronic parameters
• Chiral physics in the magnetic field with quark confinement contribution
• Thermo-magnetic spectral properties of neutral mesons in vector and axial-vector channels using NJL model
• Magnetism of QCD matter and pion mass from tensor-type spin polarization and anomalous magnetic moment of quarks
• Impacts of (inverse) magnetic catalysis on screening masses of neutral pions and sigma mesons in hot and magnetized quark matter
• "Splitting" magnetic catalysis effect prevents vacuum superconductivity in strong magnetic fields
• Octet Baryons in Large Magnetic Fields
• Charged pseudoscalar and vector meson masses under strong magnetic fields in an extended NJL model
• Neutral pseudoscalar and vector meson masses under strong magnetic fields in an extended NJL model: mixing effects
• Pion-to-vacuum vector and axial vector amplitudes and weak decays of pions in a magnetic field
• Magnetic field dependence of nucleon parameters from QCD sum rules
• Physical symmetries and gauge choices in the Landau problem
• Skyrme model study of proton and neutron properties in a strong magnetic field
• Functional renormalization group study of neutral and charged pion under magnetic fields in the quark-meson model
• Charged meson masses under strong magnetic fields: gauge invariance and Schwinger phases
• Magnetized pole-mass of neutral $\rho$ meson within full RPA evaluation
• Diquark and nucleons under strong magnetic fields in the NJL model
• Weak decays of magnetized charged pions in the symmetric gauge

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