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PreprintCC BY 4.0arXiv

Two gluon fusion into a π0, η, or η' in a relatively weak magnetic field

Abstract

In this article, we investigate gluon fusion as a mechanism for neutral meson production (π0, η, and η'), in the phenomenological context of heavy-ion collisions prior to thermalization, in which a large gluon multiplicity is expected, and when an intense background magnetic field is expected to arise. For this purpose, we computed the ratios of the emission probability rates in the presence of the background magnetic field as compared to vacuum (zero-field), as a function of transverse momenta pT and energy √s, close to midrapidity. Our theoretical results suggest a catalytic effect from the presence of the background magnetic field, that may enhance the neutral pion production by several orders of magnitude at very small energies s ≲ 1 GeV2, while the effect is negligible at larger energies s≳ 10 GeV2. In contrast, the η and η' production rates are nearly insensitive to the magnetic field presence (as compared to vacuum).

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BibTeX
@misc{braghin2026gluon,
  title = {{Two gluon fusion into a $π^0$, $η$, or $η'$ in a relatively weak magnetic field}},
  author = {Fabio L. Braghin and Enrique Muñoz},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.41020},
  eprint = {2610.41020},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.41020},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Two gluon fusion into a π^0, η, or η' in a relatively weak magnetic field
AU  - Fabio L. Braghin
AU  - Enrique Muñoz
PY  - 2026
DA  - 2026/10/29
PB  - arXiv
DO  - 10.48550/arxiv.2610.41020
UR  - https://arxiv.org/abs/2610.41020
AB  - In this article, we investigate gluon fusion as a mechanism for neutral meson production (π^0, η, and η'), in the phenomenological context of heavy-ion collisions prior to thermalization, in which a large gluon multiplicity is expected, and when an intense background magnetic field is expected to arise. For this purpose, we computed the ratios of the emission probability rates in the presence of the background magnetic field as compared to vacuum (zero-field), as a function of transverse momenta p_T and energy √s, close to midrapidity. Our theoretical results suggest a catalytic effect from the presence of the background magnetic field, that may enhance the neutral pion production by several orders of magnitude at very small energies s ≲ 1 GeV^2, while the effect is negligible at larger energies s≳ 10 GeV^2. In contrast, the η and η' production rates are nearly insensitive to the magnetic field presence (as compared to vacuum).
ER  -