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- Title
Faddeev fixed-center approximation to the DD¯K system and the hidden charm Kcc¯(4180) state.
- Authors
Wei, Xiang; Shen, Qing-Hua; Xie, Ju-Jun
- Abstract
We perform a theoretical study on the D D ¯ K three body system, using the fixed center approximation to the Faddeev equations, considering the interaction between D and K, D and D ¯ from the chiral unitary approach. We assume the scattering of K meson on a clusterized system D D ¯ , where a scalar meson X(3720) could be formed. Thanks to the strong DK interaction, where the scalar D s 0 ∗ (2317) meson is dynamically generated, a resonance structure shows up in the modulus squared of the three body K- (D D ¯) X (3720) scattering amplitude and supports that a D D ¯ K bound state can be formed. The result is in agreement with previous theoretical studies, which claim a new excited hidden charm K meson, K c c ¯ (4180) with quantum numbers I (J P) = 1 2 (0 -) and mass about 4180 MeV. It is expected that these theoretical results motivate its search in experimental measurements.
- Subjects
KAONS; PENTAQUARK; SCATTERING amplitude (Physics); QUANTUM numbers; MESONS; RESONANCE
- Publication
European Physical Journal C -- Particles & Fields, 2022, Vol 82, Issue 8, p1
- ISSN
1434-6044
- Publication type
Article
- DOI
10.1140/epjc/s10052-022-10675-5