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PUBDB-2025-00549

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Results on meson-meson scattering at large $N_\mathrm{c}$

Jorge Juan, B. B. (Corresponding author)DESY* ; Hernández, P. ; Romero-López, F.

2025
SISSA Trieste

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Please use a persistent id in citations: doi:10.22323/1.466.0107  doi:10.3204/PUBDB-2025-00549

Report No.: DESY-25-018; MIT-CTP/5834; arXiv:2501.19115

Abstract: We present results on the large $N_\text{c}$ scaling of meson-meson scattering amplitudes. We work in a theory with $N_\text{f}=4$ degenerate quark flavors and run lattice simulations with $N_\text{c}=3-6$ and pion mass $M_\pi\approx 590$ MeV. We focus on three different scattering channels, two of which have the same quantum numbers as some tetraquark candidates recently found at LHCb. Finite-volume energies are extracted using a large set of operators, containing two-particle operators corresponding to two pions or two vector mesons, and local tetraquark operators. Using Lüscher's quantization condition, we constrain the infinite-volume scattering amplitudes and investigate subleading $N_\text{c}$ corrections to the large $N_\text{c}$ limit. For one of the channels, we find indications of a virtual bound state at $N_\text{c}=3$, which may be related to one of the aforementioned exotic states.

Note: 11 pages, 5 figures. Talk presented at the 41st International Symposium on Lattice Field Theory (Lattice2024), 28 July - 3 August 2024, Liverpool, UK

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Contributing Institute(s):

1. Zeuthen Particle PhysicsTheory (Z_ZPPT)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
2. HIDDeN - Hunting Invisibles: Dark sectors, Dark matter and Neutrinos (860881) (860881)
3. ASYMMETRY - Essential Asymmetries of Nature (101086085) (101086085)
4. DFG project G:(GEPRIS)247250619 - 2-Photonen Mikroskopie Plattform: Aufrechtes 2-Photonenmikroskop inkl. Laserpaket (247250619) (247250619)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2025

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Database coverage:
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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Preprint Baeza Ballesteros, J. (Corresponding author)DESY* ; Hernández, P. ; Romero-López, F.
Results on meson-meson scattering at large $N_\mathrm{c}$
[10.3204/PUBDB-2025-01100]     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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