New approach to the estimation of the lowest boundary of an axion mass and axion-electron coupling constant
Abstract
In this work, we have performed the theoretical estimation of the lowest boundary of an axion mass. We have analyzed the energy spectrum of the electron in a constant homogeneous magnetic field, taking into account its anomalous magnetic moment. We have applied the obtained results on the energy spectrum of the electron in a constant homogeneous magnetic field with allowance for its anomalous magnetic moment to the hydrogen atom electron, which is located in addition to the Coulomb field of the proton, as well as in the magnetic field produced by the magnetic moment of the proton. We have applied the idea of the restriction for the lowest boundary of the axion mass to the triplet-singlet transition between two adjacent levels obtained as a result of the hyperfine structure splitting of the s-levels in the hydrogen atom. We have concluded that the mass of an axion ought to be more than 5.885*10^(-6) eV. We have also obtained the analytical relation for the lowest boundary of the axion-electron coupling constant and numerically estimated its value: the axion-electron coupling constant ought to be more than 1.670*10^(-16).
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BibTeX
@misc{guseynova2026approach,
title = {{New approach to the estimation of the lowest boundary of an axion mass and axion-electron coupling constant}},
author = {Sevinj O. Guseynova and Vali A. Huseynov and Mehriban Sh. Hasanova and Sevinj Y. Rzayeva and Nigar E. Musazade},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2607.14156},
eprint = {2607.14156},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.14156},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - New approach to the estimation of the lowest boundary of an axion mass and axion-electron coupling constant
AU - Sevinj O. Guseynova
AU - Vali A. Huseynov
AU - Mehriban Sh. Hasanova
AU - Sevinj Y. Rzayeva
AU - Nigar E. Musazade
PY - 2026
DA - 2026/10/26
PB - arXiv
DO - 10.48550/arxiv.2607.14156
UR - https://arxiv.org/abs/2607.14156
AB - In this work, we have performed the theoretical estimation of the lowest boundary of an axion mass. We have analyzed the energy spectrum of the electron in a constant homogeneous magnetic field, taking into account its anomalous magnetic moment. We have applied the obtained results on the energy spectrum of the electron in a constant homogeneous magnetic field with allowance for its anomalous magnetic moment to the hydrogen atom electron, which is located in addition to the Coulomb field of the proton, as well as in the magnetic field produced by the magnetic moment of the proton. We have applied the idea of the restriction for the lowest boundary of the axion mass to the triplet-singlet transition between two adjacent levels obtained as a result of the hyperfine structure splitting of the s-levels in the hydrogen atom. We have concluded that the mass of an axion ought to be more than 5.885*10^(-6) eV. We have also obtained the analytical relation for the lowest boundary of the axion-electron coupling constant and numerically estimated its value: the axion-electron coupling constant ought to be more than 1.670*10^(-16).
ER -