Two-pion exchange potential in D(*)D(*) system
Abstract
Motivated by the recent HAL QCD lattice results on the D - D* potential at nearly physical point mπ=146.4 MeV, we theoretically examine effects from the two-pion exchange in (semi-)long-range parts of the DD* system. We employ the framework of heavy-meson chiral perturbation theory with heavy-quark spin symmetry. The pion exchanges up to next-to-next-to-leading order (N2LO) are taken into account. In order to separate the (semi-)long-range contributions, we apply the dispersion-relation method to one-loop diagrams. As a result, we find that the lattice data on the D - D* potential in the regime of 0.5 fm ≲ r is reproduced by adjusting the unknown O(p2) couplings. In particular, it turns out that contributions from isospin-independent N2LO triangle diagrams play a central role in reproducing the lattice data of the form VDD*∼ (e−mπr/r)2 in 1.0 fm ≲ r≲ 2.0 fm. We also present predictions of other D(*) - D(*) potentials, where the similar two-pion exchange tail is predicted. Our findings provide useful information on the (semi-)long-range regime of the D - D* potential focusing on two-pion exchanges.
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BibTeX
@misc{suenaga2026twopion,
title = {{Two-pion exchange potential in $D^(*)D^(*)$ system}},
author = {Daiki Suenaga and Masayasu Harada},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.10016},
eprint = {2610.10016},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.10016},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Two-pion exchange potential in D^(*)D^(*) system
AU - Daiki Suenaga
AU - Masayasu Harada
PY - 2026
DA - 2026/10/07
PB - arXiv
DO - 10.48550/arxiv.2610.10016
UR - https://arxiv.org/abs/2610.10016
AB - Motivated by the recent HAL QCD lattice results on the D - D^* potential at nearly physical point m_π=146.4 MeV, we theoretically examine effects from the two-pion exchange in (semi-)long-range parts of the DD^* system. We employ the framework of heavy-meson chiral perturbation theory with heavy-quark spin symmetry. The pion exchanges up to next-to-next-to-leading order (N^2LO) are taken into account. In order to separate the (semi-)long-range contributions, we apply the dispersion-relation method to one-loop diagrams. As a result, we find that the lattice data on the D - D^* potential in the regime of 0.5 fm ≲ r is reproduced by adjusting the unknown O(p^2) couplings. In particular, it turns out that contributions from isospin-independent N^2LO triangle diagrams play a central role in reproducing the lattice data of the form V^DD^*∼ (e^−m_πr/r)^2 in 1.0 fm ≲ r≲ 2.0 fm. We also present predictions of other D^(*) - D^(*) potentials, where the similar two-pion exchange tail is predicted. Our findings provide useful information on the (semi-)long-range regime of the D - D^* potential focusing on two-pion exchanges.
ER -