Glueballs and fractional anomalous determinants at nonzero θ, and the decays of the X(2370)

@misc{giacosa2026glueballs,
  title = {{Glueballs and fractional anomalous determinants at nonzero $θ$, and the decays of the X(2370)}},
  author = {Francesco Giacosa and Shahriyar Jafarzade and Győző Kovács and Péter Kovács and Robert D. Pisarski and Fabian Rennecke},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.00484},
  eprint = {2610.00484},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.00484},
  note = {CC BY 4.0},
}

TY  - UNPB
TI  - Glueballs and fractional anomalous determinants at nonzero θ, and the decays of the X(2370)
AU  - Francesco Giacosa
AU  - Shahriyar Jafarzade
AU  - Győző Kovács
AU  - Péter Kovács
AU  - Robert D. Pisarski
AU  - Fabian Rennecke
PY  - 2026
DA  - 2026/10/01
PB  - arXiv
DO  - 10.48550/arxiv.2610.00484
UR  - https://arxiv.org/abs/2610.00484
AB  - Using fractional anomalous determinants, we construct a model of the trace and axial anomalies of a SU(3) gauge theory at nonzero θ angle through the couplings to scalar and pseudoscalar glueballs. In the pure gauge theory, we reproduce the θ dependence of the vacuum energy and the scalar-glueball mass from the lattice, and estimate the jump in the topological charge density for the first-order transition at θ= π. In QCD, the coupling of a pseudoscalar glueball to fractional anomalous determinants describes all of the four three-pseudoscalar decay channels of the 0^−+ glueball candidate X(2370) measured by the BESIII collaboration. Measuring the decay rates for ηηη and ηηη' can provide a stringent test of the model.
ER  -