# Weak magnetic field corrections to light vector or axial mesons mixings and vector meson dominance

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## Data

2020

## Autores

## Título da Revista

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## Resumo

Weak magnetic-field-induced corrections to effective coupling constants
describing light vector meson mixing and vector meson dominance (VMD) are
derived. The magnetic field must be weak with respect to an effective quark
mass M∗ such that: eB0/M∗2 < 1 or eB0/M∗2 1. On that basis, a flavor
SU(2) quark–quark interaction due to a non-perturbative one gluon exchange
is considered. By means of methods usually applied to the Nambu—JonaLasinio and global color models, the equations for leading light vector/axial
meson coupling to a background electromagnetic field are derived. The corresponding effective coupling constants are resolved in structureless mesons
and long-wavelength limits. Some of the resulting coupling constants are redefined, so as to become magnetic-field-induced corrections to vector or axial
meson couplings. Due to the approximated chiral symmetry of the model, light
axial meson mixing induced by the magnetic field is also obtained. Numerical
estimates are presented for the coupling constants and some of the corresponding momentum-dependent form factors. The contributions of the induced VMD
and vector meson mixing couplings for the low-momWeak magnetic-field-induced corrections to effective coupling constants
describing light vector meson mixing and vector meson dominance (VMD) are
derived. The magnetic field must be weak with respect to an effective quark
mass M∗ such that: eB0/M∗2 < 1 or eB0/M∗2 1. On that basis, a flavor
SU(2) quark–quark interaction due to a non-perturbative one gluon exchange
is considered. By means of methods usually applied to the Nambu—JonaLasinio and global color models, the equations for leading light vector/axial
meson coupling to a background electromagnetic field are derived. The corresponding effective coupling constants are resolved in structureless mesons
and long-wavelength limits. Some of the resulting coupling constants are redefined, so as to become magnetic-field-induced corrections to vector or axial
meson couplings. Due to the approximated chiral symmetry of the model, light
axial meson mixing induced by the magnetic field is also obtained. Numerical
estimates are presented for the coupling constants and some of the corresponding momentum-dependent form factors. The contributions of the induced VMD
and vector meson mixing couplings for the low-momentum pion electromagnetic form factor and for the (off-shell) charge symmetry violation potential at
the constituent quark level are estimated. The relative overall weak magneticfield-induced anisotropic corrections are of the order of (eB0/M∗2
)
n, where
n = 2 or n = 1, respectivelyentum pion electromagnetic form factor and for the (off-shell) charge symmetry violation potential at
the constituent quark level are estimated. The relative overall weak magneticfield-induced anisotropic corrections are of the order of (eB0/M∗2
)
n, where
n = 2 or n = 1, respectively

## Descrição

## Palavras-chave

Chiral Lagrangians, Sea quark determinant, Meson mixing, Vector meson dominance, Magnetic field, rho–pion coupling

## Citação

BRAGHIN, F. L. Weak magnetic field corrections to light vector or axial mesons mixings and vector meson dominance. Journal of Physics G: nuclear and particle physics, Bristol, v. 47, e115102, 2020. DOI: 10.1088/1361-6471/aba7c9. Disponível em: https://iopscience.iop.org/article/10.1088/1361-6471/aba7c9. Acesso em: 14 set. 2023.