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PreprintCC BY 4.0arXiv

Chiral mass corrections to decuplet hidden-charm pentaquark states

  • Yu-Quan Guo
  • Hao-Song Li
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Abstract

We calculate the masses of the JP=1/2- hidden-charm pentaquark states in the SU(3) decuplet within the heavy pentaquark chiral perturbation theory (HPChPT) up to the next-to-leading order (NLO). The one-loop self-energy corrections from the π, K, and η mesons are evaluated. Taking PψN(4312) and PψsΛ(4459) as inputs, we predict the masses of the doubly-strange and triply-strange decuplet members PψssN and PψsssΛ to be 4.607 GeV and 4.755 GeV, respectively. The mass splittings between adjacent strangeness layers are nearly constant at approximately 0.148 GeV. This equal-spacing pattern follows directly from the analytical structure of the NLO chiral corrections, while its actual magnitude is set by the low-energy constants (LECs). It indicates that the Gell--Mann--Okubo (GMO) relation, expected at the leading order of SU(3) flavor symmetry breaking, persists to good accuracy at the NLO.

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Cite

BibTeXRIS
BibTeX
@misc{guo2026chiral,
  title = {{Chiral mass corrections to decuplet hidden-charm pentaquark states}},
  author = {Yu-Quan Guo and Hao-Song Li},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.15075},
  eprint = {2610.15075},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.15075},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Chiral mass corrections to decuplet hidden-charm pentaquark states
AU  - Yu-Quan Guo
AU  - Hao-Song Li
PY  - 2026
DA  - 2026/10/10
PB  - arXiv
DO  - 10.48550/arxiv.2610.15075
UR  - https://arxiv.org/abs/2610.15075
AB  - We calculate the masses of the J^P=1/2^- hidden-charm pentaquark states in the SU(3) decuplet within the heavy pentaquark chiral perturbation theory (HPChPT) up to the next-to-leading order (NLO). The one-loop self-energy corrections from the π, K, and η mesons are evaluated. Taking P_ψ^N(4312) and P_ψs^Λ(4459) as inputs, we predict the masses of the doubly-strange and triply-strange decuplet members P_ψss^N and P_ψsss^Λ to be 4.607 GeV and 4.755 GeV, respectively. The mass splittings between adjacent strangeness layers are nearly constant at approximately 0.148 GeV. This equal-spacing pattern follows directly from the analytical structure of the NLO chiral corrections, while its actual magnitude is set by the low-energy constants (LECs). It indicates that the Gell--Mann--Okubo (GMO) relation, expected at the leading order of SU(3) flavor symmetry breaking, persists to good accuracy at the NLO.
ER  -