Finite- and infinite-volume study of DDπ scattering
Author(s)
Dawid, Sebastian M.; Romero-López, Fernando; Sharpe, Stephen R.
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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 = 280 MeV. 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 finite- volume 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
2025-01-09Department
Massachusetts Institute of Technology. Center for Theoretical PhysicsJournal
Journal of High Energy Physics
Publisher
Springer Berlin Heidelberg
Citation
Dawid, S.M., Romero-López, F. & Sharpe, S.R. Finite- and infinite-volume study of DDπ scattering. J. High Energ. Phys. 2025, 60 (2025).
Version: Final published version