Toward the quark mass dependence of $T_{cc}^+$ from lattice QCD

Collins, Sara (author), Nefediev, Alexey (author), Padmanath, M. (author), Prelovšek, Saša (author)

The $DD^*$ scattering phase shifts in the $T_{cc}^+ = cc\bar{u}\bar{d}$ channel are extracted from lattice QCD for five different charm quark masses and a fixed light-quark mass corresponding to $m_{\pi} \simeq$ 280  MeV. The phase shifts are analyzed employing two approaches: effective range expansion and Lippmann-Schwinger equation derived in the effective field theory. In the latter case, the results imply an attraction at short range parametrized by contact terms and a slight repulsion at long range mediated by one-pion exchange with $m_{\pi} > m_{D^*}-m_D$. The poles in the amplitude across the complex energy plane are extracted and their trajectories are discussed as the charm quark mass is varied. Two complex conjugate poles corresponding to a resonance below threshold are found for $m_c$ close to the physical value. They turn into a pair of virtual states at the largest $m_c$ studied. With further increasing $m_c$, one virtual pole representing $T_{cc}^+$ is expected to move towards the two-body threshold and turn into a bound state. The light-quark mass dependence of the $T_{cc}^+$ pole is briefly discussed using the data on $DD^*$ scattering from other lattice collaborations.

• 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 version: Version of Record
• Publication date: 20.05.2024
• Year: 2024
• Number of pages: Str. 094509-1-094509-18
• Numbering: Vol. 109, iss. 9
• PID: 20.500.12556/RUL-156370
• UDC: 539.120.811
• ISSN on article: 2470-0010
• DOI: 10.1103/PhysRevD.109.094509
• COBISS.SI-ID: 196309763
• Publication date in RUL: 22.05.2024

Record is a part of a journal

• Title: Physical review. D
• 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, mrežna kvantna kromodinamika