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Author  |
Baeza-Ballesteros, J.; HernAndez, P.; Romero-Lopez, F. |

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Title |
The ππ scattering amplitude at large Nc |
Type |
Journal Article |
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Year |
2025 |
Publication |
Journal of High Energy Physics |
Abbreviated Journal |
J. High Energy Phys. |
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Volume |
08 |
Issue |
8 |
Pages |
110 - 65pp |
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Keywords |
1/N Expansion; Hadronic Spectroscopy; Structure and Interactions; Lattice QCD; Chiral Lagrangian |
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Abstract |
We study the scaling of meson-meson scattering amplitudes with the number of colors, N-c. We use lattice calculations in a theory with N-f= 4 degenerate flavors, with N-c= 3-6a nd pion mass M-pi approximate to 560 MeV. We focus on three different scattering channels, two of which have the same quantum numbers as some tetraquark candidates recently found at LHCb: the T-cs0(0)(2900),T-c s0(++)(2900),T-c s0(0)(2900) and T-cs1(0)(2900)states. Finite-volume energies are extracted using a large set of operators, containing two-particle operators with the form of two pions or two vector mesons, and local tetraquark operators. The resulting energy spectra is used to constrain the infinite-volume scattering amplitude by means of Luscher'squantization condition. We consider polynomial parametrizations of the phase shift, as well as one-loop chiral perturbation theory (ChPT) predictions. We find that our lattice results follow the expected N-c scaling and are sensitive to sub leading Nc corrections. In addition, we constrain the scaling of different combinations of low-energy constants from matching to large N-c ChPT. The results for the channel corresponding to a(pi D-+(s)+-K+D+)state show evide Nce of a virtual bound state with energy Evirtual= 1.63(10)M pi for N-c= 3, while this pole disappears atN(c)>3. This may be connected to the exotic states found in experiment |
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Address |
[Baeza-Ballesteros, Jorge] Deutsch Elektronen Synchroton DESY, Platanenallee 6, D-15738 Zeuthen, Germany, Email: jorge.baeza.ballesteros@desy.de; |
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Springer |
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English |
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Notes |
WOS:001553833800002 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
6815 |
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