Finite- and infinite-volume study of DDπ scattering
Publisher DOI
Abstract
We develop a comprehensive framework for extracting the pole position and properties of the doubly-charmed tetraquark T+ cc(3875) from lattice QCD data using the relativistic three-particle formalism. This approach incorporates the effect of the one-pion exchange diagram in DDπ and DD∗ scattering, making it applicable at energies coinciding with the left-hand cut in the partial-wave projected DD∗ amplitude. We present an example application of this framework to existing lattice QCD data at mπ = 280MeV. We solve the integral equations describing the DDπ reaction, use LSZ reduction to determine the corresponding DD∗ amplitude, and find the values of the infinite-volume two- and three-body K matrices that lead to agreement with lattice DD∗ phase shifts within their uncertainties. Using these K matrices in the three-particle quantization condition, we describe the finitevolume DD∗ spectrum and find good agreement with the lattice QCD energies. Our results suggest that, at this pion mass, the tetraquark appears as a pair of subthreshold complex poles whose precise location strongly depends on the value of the DDπ three-particle K matrix.
Date Issued
2025
Publication Type
Article
Subject(s)
Subjects
Hadronic Spectroscopy
•
Structure and Interactions
•
Lattice QCD
Language(s)
en
Author(s)
Dawid, Sebastian M. | |
Sharpe, Stephen R. |
Additional Credits
Journal
Journal of High Energy Physics
Publisher
Springer
ISSN
1029-8479
1126-6708
Access(Rights)
open.access