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arXiv · 2306.12815

Exploring kaon induced reactions for unraveling the nature of the scalar meson $a_0 (1817)$

Xiao-Yun Wang·Hui-Fang Zhou·Xiang Liu
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Abstract

In this study, we comprehensively investigate the production of isovector scalar meson $a_{0}(1817)$ using the effective Lagrangian approach. Specifically, we employ the Reggeized $t$ channel Born term to calculate the total and differential cross sections for the reaction $K^{-}p \rightarrow a_{0}(1817)\Lambda$. Our analysis reveals that the optimal energy range for detecting the $a_{0}(1817)$ meson lies between $W=3.4$ GeV and $W=3.6$ 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 $2\rightarrow 3$ and discuss the feasibility of detecting the $a_{0}(1817)$ meson in experiments such as J-PARC.

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Xiao-Yun Wang, Hui-Fang Zhou, Xiang Liu. 2023-06-22. Exploring kaon induced reactions for unraveling the nature of the scalar meson $a_0 (1817)$. https://doi.org/10.1103/physrevd.108.034015

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