production in scattering process

Quan-Yun Guo; Zi-Li Yue; Dian-Yong Chen

doi:10.1140/epjc/s10052-024-12754-1

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2024 Impact factor 4.8

Particles and Fields

Open Access

Eur. Phys. J. C (2024) 84: 380
https://doi.org/10.1140/epjc/s10052-024-12754-1

Regular Article - Theoretical Physics

$Ξ {(1620)}^{-}$ $\Xi (1620)^-$ production in $K^{-} p$ scattering process

Quan-Yun Guo¹, Zi-Li Yue¹ and Dian-Yong Chen¹^,2^c

¹ School of Physics, Southeast University, 210094, Nanjing, People’s Republic of China
² Lanzhou Center for Theoretical Physics, Lanzhou University, 730000, Lanzhou, China

^c chendy@seu.edu.cn

Received: 17 February 2024
Accepted: 1 April 2024
Published online: 9 April 2024

Abstract

In the present work, the production of $Ξ {(1620)}^{-}$ $\Xi (1620)^-$ in the $K^{-} p$ $$K^- p$$ scattering process is investigated by using an effective Lagrangian approach, where $Ξ {(1620)}^{-}$ $\Xi (1620)^-$ is considered as a $K^{-} Λ$ $K^- \Lambda$ molecular state. Our estimations indicate that the cross sections for $K^{-} p \to K^{+} Ξ {(1620)}^{-}$ $K^-p\rightarrow K^+ \Xi (1620)^-$ are $(1 . 48_{- 0.69}^{+ 1.12}) μ b$ $(1.48 ^{+ 1.12}_{-0.69}) \, \upmu \textrm{b}$ at $P_{K} = 2.8 GeV$ $P_K=2.8 \ \textrm{GeV}$ , where the uncertainties are resulted from the variation of the model parameter. As for the $K^{-} p \to π^{0} Ξ^{-} K^{+}$ $K^-p\rightarrow \pi ^0 \Xi ^- K^+$ process, the cross sections are estimated to be $(0 . 61_{- 0.29}^{+ 0.47}) μ b$ $(0.61 ^{+0.47}_{-0.29})\, \upmu \textrm{b}$ at $P_{K} = 2.87 GeV$ $P_K =2.87 \ \textrm{GeV}$ , which is consistent with the experimental measurements.

© The Author(s) 2024

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