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PreprintarXiv licencearXiv

Status and Progress of Hamiltonian Effective Field Theory in Light Hadron Spectroscopy

Abstract

Hadron resonances are intrinsically dynamical states whose observable properties are governed by the interplay between quark-model configurations and hadronic channels. Hamiltonian effective field theory provides a practical framework for connecting hadron dynamics with experimental observables and lattice QCD results. In this review, we outline the infinite- and finite-volume formulations of Hamiltonian effective field theory and survey its applications to light-hadron spectroscopy and resonance structure. By constraining the same Hamiltonian framework with experimental scattering data and lattice QCD spectra, Hamiltonian effective field theory can help distinguish among scenarios that describe the available scattering data comparably well but imply different roles for bare-state and multihadron configurations. We also review recent extensions of the Hamiltonian framework developed to address more complicated dynamical settings.

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BibTeX
@misc{xie2026status,
  title = {{Status and Progress of Hamiltonian Effective Field Theory in Light Hadron Spectroscopy}},
  author = {Qi-Liang Xie and Qiu-Rui Wu and Zi-Jun Li and Fang-Chao Han and Yu Zhuge and Zhan-Wei Liu},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.06075},
  eprint = {2610.06075},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.06075},
}
RIS
TY  - UNPB
TI  - Status and Progress of Hamiltonian Effective Field Theory in Light Hadron Spectroscopy
AU  - Qi-Liang Xie
AU  - Qiu-Rui Wu
AU  - Zi-Jun Li
AU  - Fang-Chao Han
AU  - Yu Zhuge
AU  - Zhan-Wei Liu
PY  - 2026
DA  - 2026/10/05
PB  - arXiv
DO  - 10.48550/arxiv.2610.06075
UR  - https://arxiv.org/abs/2610.06075
AB  - Hadron resonances are intrinsically dynamical states whose observable properties are governed by the interplay between quark-model configurations and hadronic channels. Hamiltonian effective field theory provides a practical framework for connecting hadron dynamics with experimental observables and lattice QCD results. In this review, we outline the infinite- and finite-volume formulations of Hamiltonian effective field theory and survey its applications to light-hadron spectroscopy and resonance structure. By constraining the same Hamiltonian framework with experimental scattering data and lattice QCD spectra, Hamiltonian effective field theory can help distinguish among scenarios that describe the available scattering data comparably well but imply different roles for bare-state and multihadron configurations. We also review recent extensions of the Hamiltonian framework developed to address more complicated dynamical settings.
ER  -