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

TL;DR

This paper investigates the production mechanisms and cross sections of the $ ext{eta}_1(1855)$ in kaon-proton reactions, considering molecular and hybrid state hypotheses, and discusses experimental detection prospects.

Contribution

It provides the first detailed calculation of the production cross sections and differential distributions of $ ext{eta}_1(1855)$ assuming molecular or hybrid nature in kaon-induced reactions.

Findings

Minimum cross section up to 0.59 nb for molecular state

Maximum cross section up to 63.8 nb for hybrid state

Feasibility analysis for experimental detection at J-PARC

Abstract

By the reaction of kaon interacting with a proton, we investigate the production of the newly observed $\eta _{1}(1855)$ 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 $K^{-}p\to\eta _{1}(1855)\Lambda$ reaction are calculated. Taking the partial decay width of the $\eta _{1}$ to $K\bar{K}^{\ast }$ as 0.9 MeV and 98.1 MeV, the minimum cross section of the $\eta _{1}(1855)$ 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 $\eta _{1}(1855)$ 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 $\eta _{1}(1855)$ in experiments like J-PARC.