Searching for and through the kaon induced reactions

Qing-Yong Lin; Xiao-Yun Wang

doi:10.1140/epjc/s10052-022-10995-6

2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2022) 82: 1017
https://doi.org/10.1140/epjc/s10052-022-10995-6

Regular Article - Theoretical Physics

Searching for $X_{0} (2900)$ $X_{0}(2900)$ and $X_{1} (2900)$ $X_{1}(2900)$ through the kaon induced reactions

Qing-Yong Lin¹^a and Xiao-Yun Wang²

¹ Department of Physics, School of Science, Jimei University, 361021, Xiamen, China
² Department of Physics, Lanzhou University of Technology, 730050, Lanzhou, China

^a qylin@jmu.edu.cn

Received: 20 September 2022
Accepted: 1 November 2022
Published online: 12 November 2022

Abstract

Within an effective Lagrangian approach, a theoretical study of the $K^{+} p \to Σ_{c}^{+ +} X_{0} (2900)$ $K^{+}p \rightarrow \Sigma _{c}^{++}X_{0}(2900)$ and $K^{+} p \to Σ_{c}^{+ +} X_{1} (2900)$ $K^{+}p \rightarrow \Sigma _{c}^{++}X_{1}(2900)$ reactions is carried out to search for the exotic states $X_{0} (2900)$ $X_{0}(2900)$ and $X_{1} (2900)$ $X_{1}(2900)$ . The production process is described by the $t -$ $$t-$$ channel $D^{-}$ $D^{-}$ meson exchange. The numerical results show that the total cross sections may reach up to about 0.5 nb and 25 nb for the productions of $X_{0} (2900)$ $$ X_0(2900) $$ and $X_{1} (2900)$ $$ X_1(2900) $$ , respectively. The predicted differential cross sections are sensitive to the scattering angles and have strong forward enhancements. The cross sections for the $K^{+} n \to Λ_{c}^{+} X_{0, 1}$ $K^{+}n \rightarrow \Lambda _{c}^{+}X_{0,1}$ are also calculated and found to be larger than that in $K^{+} p$ $K^{+}p$ collisions by more than one order of magnitude. The results are helpful to the possible experimental measurements with kaon beam.

© The Author(s) 2022

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