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Landau-Zener formula and resonant axion conversion in neutron star magnetospheres

Abstract

We investigate the Landau-Zener description of resonant axion-photon conversion in neutron star magnetospheres. We find that this picture often fails for axion conversions to millimeter-to-optical band photons due to the characteristic resonance width exceeding the size of the conversion region. This comparison of scales yields a simple criterion for evaluating the validity of the Landau-Zener formula. We verify this criterion numerically, and show that when invalid, the Landau-Zener conversion probability may significantly deviate from the numerical result. In light of these findings, we revise constraints on axions from neutron star optical-band polarization searches.

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BibTeX
@misc{heikinheimo2026landauzener,
  title = {{Landau-Zener formula and resonant axion conversion in neutron star magnetospheres}},
  author = {Matti Heikinheimo and Topi Sirkiä and Kimmo Tuominen},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2606.31476},
  eprint = {2606.31476},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.31476},
}
RIS
TY  - UNPB
TI  - Landau-Zener formula and resonant axion conversion in neutron star magnetospheres
AU  - Matti Heikinheimo
AU  - Topi Sirkiä
AU  - Kimmo Tuominen
PY  - 2026
DA  - 2026/11/03
PB  - arXiv
DO  - 10.48550/arxiv.2606.31476
UR  - https://arxiv.org/abs/2606.31476
AB  - We investigate the Landau-Zener description of resonant axion-photon conversion in neutron star magnetospheres. We find that this picture often fails for axion conversions to millimeter-to-optical band photons due to the characteristic resonance width exceeding the size of the conversion region. This comparison of scales yields a simple criterion for evaluating the validity of the Landau-Zener formula. We verify this criterion numerically, and show that when invalid, the Landau-Zener conversion probability may significantly deviate from the numerical result. In light of these findings, we revise constraints on axions from neutron star optical-band polarization searches.
ER  -