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Toward the quark mass dependence of $T_{cc}^+$ from lattice QCD
ID
Collins, Sara
(
Author
),
ID
Nefediev, Alexey
(
Author
),
ID
Padmanath, M.
(
Author
),
ID
Prelovšek, Saša
(
Author
)
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https://journals.aps.org/prd/abstract/10.1103/PhysRevD.109.094509
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Abstract
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
Views:
214
Downloads:
20
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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
,
mrežna kvantna kromodinamika
Projects
Funder:
ARIS - Slovenian Research and Innovation Agency
Project number:
P1-0035-2019
Name:
Teorija jedra, osnovnih delcev in polj
Funder:
Other - Other funder or multiple funders
Project number:
2024PVA0004
Name:
CAS President’s International Fellowship Initiative
Funder:
Other - Other funder or multiple funders
Project number:
SRG/2023/001235
Name:
SERB Start-up Research Grant
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