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Production of the $η_{1}(1855)$ through kaon induced reactions under the assumptions that it is a molecular or a hybrid state

By the reaction of kaon interacting with a proton, we investigate the production of the newly observed $η_{1}(1855)$ predicted in the picture of the $K\bar{K}_1(1400)$ molecular state and hybrid state. The total and differential cross sections of the concrete $K^{-}p\toη_{1}(1855)Λ$ reaction are calculated. Taking the partial decay width of the $η_{1}$ to $K\bar{K}^{\ast }$ as 0.9 MeV and 98.1 MeV, the minimum cross section of the $η_{1}(1855)$ production via the $K^{-}p$ reaction can reach up 0.59 $nb$ and 63.8 $nb$ at the center of mass energies $W\simeq 3.5$ GeV, respectively. The differential cross sections for the $η_{1}(1855)$ production at the different center of mass energies are also available. Furthermore, we present the Dalitz processes of $2\rightarrow 3$ and $2\rightarrow 4$, and initially discuss the feasibility of finding out the $η_{1}(1855)$ in experiments like J-PARC.