We discuss recent lattice data for the Tcc(3875)+ state to stress, for the first time, a potentially strong impact of left-hand cuts from the one-pion exchange on the pole extraction for near-threshold exotic states. In particular, if the left-hand cut is located close to the two-particle threshold, which happens naturally in the DD∗ system for the pion mass exceeding its physical value, the effective-range expansion is valid only in a very limited energy range up to the cut and as such is of little use to reliably extract the poles. Then, an accurate extraction of the pole locations requires the one-pion exchange to be implemented explicitly into the scattering amplitudes. Our findings are general and potentially relevant for a wide class of hadronic near-threshold states.
@article{arxiv.2303.09441,
title = {Role of left-hand cut contributions on pole extractions from lattice data: Case study for $T_{cc}(3875)^+$},
author = {Meng-Lin Du and Arseniy Filin and Vadim Baru and Xiang-Kun Dong and Evgeny Epelbaum and Feng-Kun Guo and Christoph Hanhart and Alexey Nefediev and Juan Nieves and Qian Wang},
journal= {arXiv preprint arXiv:2303.09441},
year = {2023}
}
Comments
10 pages, 7 figures. The version to appear in Physical Review Letters