Constituent quark axial current couplings to light vector mesons in the vacuum and with a weak magnetic field

Abstract

Unusual constituent quark axial current couplings to light vector mesons, $\rho$ and $\omega$, are derived in the vacuum and under weak magnetic field by considering a quark-antiquark interaction mediated by a non perturbative gluon exchange. Similarly, light axial mesons are found to couple anomalously with the constituent quark vector current. These interactions are of the type of the Wess-Zumino-Witten terms, being strongly anisotropic and dependent on the vector (or axial) meson polarization. They also provide axial (vector) form factors for the vector (axial) mesons and are quite small, suppressed nearly by $1/{M^{\ast }}^2$ with respect to the vector mesons minimal coupling to the quark vector current. Some three leg meson vertices are also presented: $\pi -\rho -A_1$ and $V_1{V}_{2}A$ (where $V_1,V_2$ are vector mesons and $A$ an axial meson). A vector and axial-vector mesons mixing is identified at non zero magnetic field which however can contribute only in the presence of a third particle or in a medium. Numerical results are presented for different effective gluon propagators.

Revised version, 21 pages, 5 figures, accepted for publication

References in corpus (25)

• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• Bridging a gap between continuum-QCD and ab initio predictions of hadron observables
• pi- and rho-mesons, and their diquark partners, from a contact interaction
• Vector meson form factors and their quark-mass dependence
• Measurement of the Rate of Muon Capture in Hydrogen Gas and Determination of the Proton's Pseudoscalar Coupling $g_P$
• Light axial vector mesons
• Hadron structure at low Q^2
• Information on the structure of the a1 from tau decay
• Pions in Large-$N$ Quantum Chromodynamics
• Entropy, confinement, and chiral symmetry breaking
• Nucleon axial-vector and pseudoscalar form factors, and PCAC relations
• Vector and Axial-Vector Mesons in Nuclear Matter
• Electromagnetic rho-meson form factors in point-form relativistic quantum mechanics
• Form Factors of the Nucleon Axial Current
• What Does Low Energy Physics Tell Us About The Zero Momentum Gluon Propagator
• Vacuum polarization corrections to low energy quark effective couplings
• One-loop constituent quark contributions to the vector and axial-vector meson curvature mass
• Comprehensive study of light axial vector mesons with the presence of triangle singularity
• Vector-axialvector mixing from a chiral effective field theory at finite temperature
• Vector meson mass in the chiral symmetry restored vacuum
• A Euclidean bridge to the relativistic constituent quark model
• Contribution of the rho meson and quark sub-structure to the nuclear spin-orbit potential
• Exclusive $f_1(1285)$ meson production for energy ranges available at the GSI-FAIR with HADES and PANDA
• Magnetic field in relativistic heavy ion collisions: testing the classical approximation
• The axial charges of proton within an extended chiral constituent quark model

Cited by in corpus (2)

• $U_A(1)$ symmetry breaking quark interactions from vacuum polarization
• Charged pions asymmetry from the decay of light neutral axial mesons due to interference