https://doi.org/10.1140/epjc/s10052-022-10218-y
Regular Article - Theoretical Physics
The newly observed state
1
Department of Physics, Hebei University, 071002, Baoding, China
2
Key Laboratory of High-precision Computation and Application of Quantum Field Theory of Hebei Province, Baoding, China
3
Department of Primary Education, Baoding Preschool Teachers College, 072750, Baoding, China
4
School of Physics, Nankai University, 300071, Tianjin, China
a
wgl@hbu.edu.cn
c
fengtf@hbu.edu.cn
Received:
20
January
2022
Accepted:
13
March
2022
Published online:
28
March
2022
We choose the Reduction Formula, PCAC and Low Energy Theory to reduce the S matrix of a OZI allowed two-body strong decay involving a light pseudoscalar, the covariant transition amplitude formula with relativistic wave functions as input is derived. After confirm this method by the decay , we study the newly observed with supposing it to be the state , we find its decay width is highly sensitive to the mass, which result in the meaningless comparison of widths by different models with various input masses. Instead of width, we studied the overlap integral over the wave functions of initial and final states, here we parameterized it as X which is model-independent, and the ratio , both are almost mass independent, to give us useful information. The results show that, all the existing theoretical predictions and are smaller than experimental data and . Further compared with , the current data is too big to be an reasonable value, so it is early to say is the conventional meson.
© The Author(s) 2022
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