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PreprintarXiv licencearXiv

A glueball puzzle explained in terms of ϕh1(1380) dynamics: Aka X(2370)

Abstract

We study the interaction of ϕ with h1(1380), considering the latter as a K*K̅ molecular state, and find the generation of a state with the same quantum numbers, together with a mass and width compatible with the experimental results, as those of X(2370), recently advocated as a candidate for a glueball. Within our description, the suppressed decay modes of X(2370) to γω, ωϕ and K*K̅, reported in the experimental paper as clues to its glueball nature, are naturally explained. Conversely, the non K* K̅ decay to K K̅ π (the latter being the invariant mass where the resonance is observed) is shown to be largely enhanced due to the combination of a triangle singularity and the presence of K(1630) in the ρϕ→ K̅ vertex involved in the triangle loop.

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BibTeX
@misc{khemchandani2026glueball,
  title = {{A glueball puzzle explained in terms of $ϕh_1(1380)$ dynamics: Aka $X(2370)$}},
  author = {K. P. Khemchandani and A. Martinez Torres and E. Oset},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.37653},
  eprint = {2609.37653},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.37653},
}
RIS
TY  - UNPB
TI  - A glueball puzzle explained in terms of ϕh_1(1380) dynamics: Aka X(2370)
AU  - K. P. Khemchandani
AU  - A. Martinez Torres
AU  - E. Oset
PY  - 2026
DA  - 2026/09/29
PB  - arXiv
DO  - 10.48550/arxiv.2609.37653
UR  - https://arxiv.org/abs/2609.37653
AB  - We study the interaction of ϕ with h_1(1380), considering the latter as a K^*K̅ molecular state, and find the generation of a state with the same quantum numbers, together with a mass and width compatible with the experimental results, as those of X(2370), recently advocated as a candidate for a glueball. Within our description, the suppressed decay modes of X(2370) to γω, ωϕ and K^*K̅, reported in the experimental paper as clues to its glueball nature, are naturally explained. Conversely, the non K^* K̅ decay to K K̅ π (the latter being the invariant mass where the resonance is observed) is shown to be largely enhanced due to the combination of a triangle singularity and the presence of K(1630) in the ρϕ→ K̅ vertex involved in the triangle loop.
ER  -