https://doi.org/10.1140/epjc/s10052-022-10675-5
Regular Article - Theoretical Physics
Faddeev fixed-center approximation to the 
system and the hidden charm 
state
1
Institute of Modern Physics, Chinese Academy of Sciences, 730000, Lanzhou, China
2
School of Nuclear Sciences and Technology, University of Chinese Academy of Sciences, 101408, Beijing, China
3
School of Physics and Microelectronics, Zhengzhou University, 450001, Zhengzhou, Henan, China
Received:
4
July
2022
Accepted:
3
August
2022
Published online:
18
August
2022
We perform a theoretical study on the three body system, using the fixed center approximation to the Faddeev equations, considering the interaction between D and K, D and 
from the chiral unitary approach. We assume the scattering of K meson on a clusterized system 
, where a scalar meson X(3720) could be formed. Thanks to the strong DK interaction, where the scalar 
meson is dynamically generated, a resonance structure shows up in the modulus squared of the three body K-
scattering amplitude and supports that a bound state can be formed. The result is in agreement with previous theoretical studies, which claim a new excited hidden charm K meson, with quantum numbers 
and mass about 4180 MeV. It is expected that these theoretical results motivate its search in experimental measurements.
© The Author(s) 2022
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