The newly observed state [Formula omitted]

• Published in: The European physical journal. C, Particles and fields Vol. 82; no. 3
• Main Authors: Wang, Guo-Li, Li, Wei, Feng, Tai-Fu, Wang, Ying-Long, Liu, Yu-Bin
• Format: Journal Article
• Language: English
• Published: Springer 01.03.2022
• ISSN: 1434-6044; 1434-6052
• DOI: 10.1140/epjc/s10052-022-10218-y

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 [Formula omitted], we study the newly observed [Formula omitted] with supposing it to be the state [Formula omitted], we find its decay width [Formula omitted] is highly sensitive to the [Formula omitted] 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 [Formula omitted], both are almost mass independent, to give us useful information. The results show that, all the existing theoretical predictions [Formula omitted] and [Formula omitted] [Formula omitted] are smaller than experimental data [Formula omitted] and [Formula omitted] [Formula omitted]. Further compared with [Formula omitted], the current data [Formula omitted] is too big to be an reasonable value, so it is early to say [Formula omitted] is the conventional [Formula omitted] meson.