Work

Doubly heavy tetraquarks from lattice QCD: Incorporating diquark-antidiquark operators and the left-hand cut

Year: 2025

Type: article

Abstract: Lattice studies of the doubly charm tetraquark T c c = c c u ¯ d ¯ require the determination of the D D * scattering amplitude, which most often incorporate only meson-meson interpolators. We additionally incorporate diquark-antidiquark operators and find that these have some impact on certain eigenenergies. This study presents the first extraction of the D D * scattering amplitude based on the meson-meson as well as diquark antidiquark interpolators. The effect of the additional operators renders slightly smaller values of p cot δ 0 and a T c c pole slightly closer to the threshold. The scattering amplitude is extracted from eigenenergies by adopting plane-wave and effective-field-theoretic methods, which also incorporate the left-hand cut and address the partial wave mixing. The T c c is found to be a subthreshold resonance with a pole at m T c c − m D − m D * = − 5.2 − 0.8 + 0.7 − i · 6.3 − 4.8 + 2.4 MeV , employing coordinated lattice simulations (CLS) ensembles with m π ≃ 280 MeV and the distillation method. A more significant effect of diquark-antidiquark operators on eigen-energies is found for larger heavy quark masses relevant for T b b . We find that deeply bound T b b does not emerge when employing only meson-meson operators, where each meson is separately momentum projected, while the deeply bound state emerges after adding local diquark antidiquark operators.

Source: Physical review. D/Physical review. D.

DOI: 10.1103/rlgp-c9tb

Authors: Sasa Prelovsek, Emmanuel Ortiz-Pacheco, Sara Collins, Luka Leskovec, M. Padmanath, Ivan Vujmilovic