Hints of the $J^{PC}=0^{--}$ and $1^{--}$ $K^*\bar K_1(1270)$ Molecules in the $J/ψ\toϕηη'$ Decay

Xiang-Kun Dong; Teng Ji; Feng-Kun Guo; Ulf-G. Meißner; Bing-Song Zou

doi:10.1016/j.physletb.2024.138646

paper

Hints of the $J^{P C} = 0^{--}$ and $1^{--}$ $K^{*} K ˉ_{1} (1270)$ Molecules in the $J / ψ \to ϕ η η^{'}$ Decay

arXiv:2402.02903 · doi:10.1016/j.physletb.2024.138646

Abstract

The primary objective of this study is to investigate hadronic molecules of $K^{*} K ˉ_{1} (1270)$ using a one-boson-exchange model, which incorporates exchanges of vector and pseudoscalar mesons in the $t$ -channel, as well as the pion exchange in the $u$ -channel. Additionally, careful consideration is given to the three-body effects resulting from the on-shell pion originating from $K_{1} (1270) \to K^{*} π$ . Then the BESIII data of the $J / ψ \to ϕ η η^{'}$ process is fitted using the $K^{*} K ˉ_{1} (1270)$ scattering amplitude with $J^{P C} = 0^{--}$ or $1^{--}$ . The analysis reveals that both the $J^{P C} = 0^{--}$ and $1^{--}$ assumptions for $K^{*} K ˉ_{1} (1270)$ scattering provide good descriptions of the data, with similar fit qualities. Notably, the parameters obtained from the best fits indicate the existence of $K^{*} K ˉ_{1} (1270)$ bound states, denoted by $ϕ (2100)$ and $ϕ_{0} (2100)$ for the $1^{--}$ and $0^{--}$ states, respectively. The current experimental data, including the $η$ polar angular distribution, cannot distinguish which $K^{*} K ˉ_{1} (1270)$ bound state contributes to the $J / ψ \to ϕ η η^{'}$ process, or if both are involved. Therefore, we propose further explorations of this process, as well as other processes, in upcoming experiments with many more $J / ψ$ events to disentangle the different possibilities.

11pages, 8figures and 1 table

Hints of the JPC=0−− and 1−− K∗Kˉ1​(1270) Molecules in the J/ψ→ϕηη′ Decay

Abstract

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Hints of the $J^{P C} = 0^{--}$ and $1^{--}$ $K^{*} K ˉ_{1} (1270)$ Molecules in the $J / ψ \to ϕ η η^{'}$ Decay