Doubly charm tetraquark channel with isospin 1 from lattice QCD

Meng, Lu (author), Ortiz Pacheco, Emmanuel (author), Baru, Vadim (author), Epelbaum, Evgeny (author), Padmanath, M. (author), Prelovšek, Saša (author)

Experimentally, the doubly charm tetraquark channel $cc\bar{q}\bar{q}$ with $q=u$, $d$ features an exotic hadron, $T_{cc}$, with isospin $I=0$ near the $DD^*$ threshold, while no peak was observed for $I=1$. We present a lattice QCD study of this channel with $I=1$, $J^P=1^+$,and $m_{\pi} \simeq 280$ MeV. Finite-volume energies calculated across five charm quark masses consistently feature a positive energy shift with respect to noninteracting energies, indicating repulsive interaction at energies near the threshold. These energies are used to compute the $DD^*$ scattering amplitude using both the standard Lüscher method and the recently proposed effective field theory-based approach in the plane wave basis, which incorporates the long-range interactions and the left-hand cut. Both analyses render a small negative scattering length and a scattering amplitude that does not feature any poles in the energy region near the $DD^*$ threshold, in line with the LHCb results. We identify that the Wick contraction, resembling $t$-channel isovector-vector meson exchanges between $D$ and $D^*$, plays a key role in distinguishing between the $I=0$ and $I=1$ channels, leading to repulsion in the $I=1$ and attraction in the $I=0$ channel.

• 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: Str. 034509-1-034509-15
• Numbering: Vol. 111, iss. 3
• PID: 20.500.12556/RUL-167666
• UDC: 539.120.811
• ISSN on article: 2470-0010
• DOI: 10.1103/PhysRevD.111.034509
• COBISS.SI-ID: 228099075
• Publication date in RUL: 05.03.2025

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