| Article | |
| Report number | arXiv:2407.18298 |
| Title | Tetraquarks at large M and large N |
| Author(s) | Allaman, Héloïse (EPFL, Lausanne, LPTP) ; Ekhterachian, Majid (EPFL, Lausanne, LPTP) ; Nardi, Filippo (EPFL, Lausanne, LPTP) ; Rattazzi, Riccardo (EPFL, Lausanne, LPTP ; New York U., CCPP ; CERN) ; Stelzl, Stefan (EPFL, Lausanne, LPTP) |
| Publication | 2024-11-06 |
| Imprint | 2024-07-25 |
| Number of pages | 43 |
| Note | 42 pages, 9 figures |
| In: | JHEP 2411 (2024) 034 |
| DOI | 10.1007/JHEP11(2024)034 |
| Subject category | nucl-th ; Nuclear Physics - Theory ; hep-th ; Particle Physics - Theory ; hep-ph ; Particle Physics - Phenomenology |
| Abstract | We study tetraquarks in large $N$ QCD with heavy quarks, in the domain where non-relativistic quantum mechanics offers an adequate approximation. Within the regime of validity of the Born-Oppenheimer approximation, we systematically study and explicitly construct tetraquark states. At leading order in the $1/N$ expansion, the bound spectrum consists of free mesons, while the $1/N$ corrections give rise to a Born-Oppenheimer potential that can bind the mesons into tetraquarks. We find two different types of tetraquarks, each endowed with distinct color-spatial wavefunctions. These states arise in the presence of an $\mathcal{O}(N)$ mass hierarchy between the quarks and the antiquarks. We provide a quantitative argument indicating that only for such a hierarchy is the ground state of the system a tetraquark. We discuss what the extrapolation of our results to realistic values of the parameters may imply for the QCD tetraquark states. |
| Copyright/License | preprint: (License: arXiv nonexclusive-distrib 1.0) publication: © 2024-2025 The Authors (License: CC-BY-4.0), sponsored by SCOAP³ |
Corresponding record in: Inspire
Record created 2024-08-07, last modified 2025-07-22
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