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Compositeness of near-threshold exotic hadrons in systems with Coulomb and short-range interactions

  • Tomona Kinugawa
  • Tetsuo Hyodo
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Abstract

We study the universal properties of near-threshold s-wave eigenstates in systems with Coulomb plus short-range interactions by analyzing their compositeness. Using a nonrelativistic effective field theory, we derive a relation between the compositeness of near-threshold states and the Coulomb scattering length, the Coulomb effective range, and the Bohr radius. We find that the long-range Coulomb interaction modifies the threshold behavior expected from the low-energy universality of purely short-range systems. When the Coulomb interaction is relatively weak compared with the short-range interaction, a remnant of the low-energy universality associated with the short-range interaction survives, leading to composite-dominant near-threshold eigenstates. In contrast, in the strong-Coulomb regime, this remnant disappears.

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Cite

BibTeXRIS
BibTeX
@misc{kinugawa2026compositeness,
  title = {{Compositeness of near-threshold exotic hadrons in systems with Coulomb and short-range interactions}},
  author = {Tomona Kinugawa and Tetsuo Hyodo},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.08340},
  eprint = {2610.08340},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.08340},
}
RIS
TY  - UNPB
TI  - Compositeness of near-threshold exotic hadrons in systems with Coulomb and short-range interactions
AU  - Tomona Kinugawa
AU  - Tetsuo Hyodo
PY  - 2026
DA  - 2026/10/06
PB  - arXiv
DO  - 10.48550/arxiv.2610.08340
UR  - https://arxiv.org/abs/2610.08340
AB  - We study the universal properties of near-threshold s-wave eigenstates in systems with Coulomb plus short-range interactions by analyzing their compositeness. Using a nonrelativistic effective field theory, we derive a relation between the compositeness of near-threshold states and the Coulomb scattering length, the Coulomb effective range, and the Bohr radius. We find that the long-range Coulomb interaction modifies the threshold behavior expected from the low-energy universality of purely short-range systems. When the Coulomb interaction is relatively weak compared with the short-range interaction, a remnant of the low-energy universality associated with the short-range interaction survives, leading to composite-dominant near-threshold eigenstates. In contrast, in the strong-Coulomb regime, this remnant disappears.
ER  -