Exploring kaon induced reactions for unraveling the nature of the scalar meson <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mn>1817</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math>
Xiaoyun Wang, Hui-Fang Zhou, Xiang Liu
Abstract
In this work, we investigate the production of isovector scalar meson ${a}_{0}(1817)$ by the effective Lagrangian approach. Specifically, we employ the Reggeized $t$ channel Born term to calculate the total and differential cross sections for the reaction ${K}^{\ensuremath{-}}p\ensuremath{\rightarrow}{a}_{0}(1817)\mathrm{\ensuremath{\Lambda}}$. Our analysis reveals that the optimal energy range for detecting the ${a}_{0}(1817)$ meson lies between $W=3.4\text{ }\text{ }\mathrm{GeV}$ and $W=3.6\text{ }\text{ }\mathrm{GeV}$, where the predicted total cross section reaches a minimum value of 112 nb. Notably, the $t$ channel, as predicted by the Regge model, significantly enhances the differential cross sections, particularly at extreme forward angles. Furthermore, we investigate the Dalitz processes of $2\ensuremath{\rightarrow}3$ and discuss the feasibility of detecting the ${a}_{0}(1817)$ meson in experiments like J-PARC.