Production of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>η</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mn>1855</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math> through kaon induced reactions under the assumptions that it is a molecular or a hybrid state
Xiaoyun Wang, Fan-Cong Zeng, Xiang Liu
Abstract
By the reaction of kaon interacting with a proton, we investigate the production of the newly observed ${\ensuremath{\eta}}_{1}(1855)$ predicted in the picture of the $K{\overline{K}}_{1}(1400)$ molecular state and hybrid state. The total and differential cross sections of the concrete ${K}^{\ensuremath{-}}p\ensuremath{\rightarrow}{\ensuremath{\eta}}_{1}(1855)\mathrm{\ensuremath{\Lambda}}$ reaction are calculated. Taking the partial decay width of the ${\ensuremath{\eta}}_{1}$ to $K{\overline{K}}^{*}$ as 0.9 MeV and 98.1 MeV, the minimum cross section of the ${\ensuremath{\eta}}_{1}(1855)$ production via the ${K}^{\ensuremath{-}}p$ reaction can reach up 0.59 nb and 63.8 nb at the center of mass energies $W\ensuremath{\simeq}3.5\text{ }\text{ }\mathrm{GeV}$, respectively. The differential cross sections for the ${\ensuremath{\eta}}_{1}(1855)$ production at the different center of mass energies are also available. Furthermore, we present the Dalitz processes of $2\ensuremath{\rightarrow}3$ and $2\ensuremath{\rightarrow}4$, and initially discuss the feasibility of finding out the ${\ensuremath{\eta}}_{1}(1855)$ in experiments like J-PARC.