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

Prelovšek, Saša (author), Ortiz Pacheco, Emmanuel (author), Collins, Sara (author), Leskovec, Luka (author), Padmanath, M. (author), Vujmilović, Ivan (author)

Lattice studies of the doubly charm tetraquark $T_{cc}=cc\bar{u}\bar{d}$ require the determination of the $DD^*$ 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 $DD^*$ 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$\delta_0$ and a $T_{cc}$ 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 $T_{cc}$ is found to be a subthreshold resonance with a pole at $m_{T_{cc}}-m_D-m_{D^*}=-5.2_{-0.8}^{+0.7}- i \cdot 6.3_{-4.8}^{+2.4}~\mathrm{MeV}$, employing coordinated lattice simulations (CLS) ensembles with $m_{\pi}\simeq 280~\mathrm{MeV}$ and the distillation method. A more significant effect of diquark-antidiquark operators on eigen-energies is found for larger heavy quark masses relevant for $T_{bb}$. We find that deeply bound T bb 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.

• Language: English
• Keywords: physics of elementary particles, lattice QCD
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Version of Record
• Year: 2025
• Number of pages: 22 str.
• Numbering: Vol. 112, iss. 1
• PID: 20.500.12556/RUL-170626
• UDC: 539.120.811
• ISSN on article: 2470-0010
• DOI: 10.1103/rlgp-c9tb
• COBISS.SI-ID: 241992707
• Publication date in RUL: 10.07.2025

Record is a part of a journal

• Title: Physical review
• Shortened title: Phys. rev., D
• Publisher: American Physical Society
• ISSN: 2470-0010
• COBISS.SI-ID: 29757223

Licences

• License: CC BY 4.0, Creative Commons Attribution 4.0 International
• Link: http://creativecommons.org/licenses/by/4.0/
• Description: This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.

Secondary language

• Language: Slovenian
• Keywords: fizika osnovnih delcev, kvantna kromodinamika na mreži