_version_ 1866915252964163584
author Jung, Woo Seung
Ichikawa, Yudai
Kang, Byung Min
Ahn, Jung Keun
Choi, Sung Wook
Fujita, Manami
Harada, Takeshi
Hasegawa, Shoichi
Hayakawa, Shuhei
Hwang, Sang Hoon
Hicks, Kenneth
Imai, Ken'ichi
Ishikawa, Yuji
Kajikawa, Shunsuke
Kamada, Kento
Kim, Shin Hyung
Kitaoka, Tomomasa
Lee, Jaeyong
Lee, Jong Won
Miwa, Koji
Morino, Taito
Oura, Fumiya
Sako, Hiroyuki
Sakao, Tamao
Saito, Masayoshi
Sato, Susumu
Tamura, Hirokazu
Tanida, Kiyoshi
Takahashi, Toshiyuki
Ukai, Mifuyu
Wada, Shunsuke
Yamamoto, Takeshi O.
Yang, Seongbae
author_facet Jung, Woo Seung
Ichikawa, Yudai
Kang, Byung Min
Ahn, Jung Keun
Choi, Sung Wook
Fujita, Manami
Harada, Takeshi
Hasegawa, Shoichi
Hayakawa, Shuhei
Hwang, Sang Hoon
Hicks, Kenneth
Imai, Ken'ichi
Ishikawa, Yuji
Kajikawa, Shunsuke
Kamada, Kento
Kim, Shin Hyung
Kitaoka, Tomomasa
Lee, Jaeyong
Lee, Jong Won
Miwa, Koji
Morino, Taito
Oura, Fumiya
Sako, Hiroyuki
Sakao, Tamao
Saito, Masayoshi
Sato, Susumu
Tamura, Hirokazu
Tanida, Kiyoshi
Takahashi, Toshiyuki
Ukai, Mifuyu
Wada, Shunsuke
Yamamoto, Takeshi O.
Yang, Seongbae
contents We present a measurement of the production of $Ξ^-$ and $ΛΛ$ in the $^{12}$C$(K^-, K^+)$ reaction at an incident beam momentum of 1.8 GeV/$\mathit{c}$, based on high-statistics data from J-PARC E42. The cross section for the $^{12}$C$(K^-, K^+Ξ^-)$ reaction, compared to the inclusive $^{12}$C$(K^-, K^+)$ reaction cross section, indicates that the $Ξ^-$ escaping probability peaks at 70\% in the energy region of $E_Ξ=$100 to 150 MeV above the $Ξ^-$ emission threshold. A classical approach using eikonal approximation shows that the total cross sections for $Ξ^-$ inelastic scattering ranges between 42 mb and 23 mb in the $Ξ^-$ momentum range from 0.4 to 0.6 GeV/c. Furthermore, based on the relative cross section for the $^{12}$C$(K^-, K^+ΛΛ)$ reaction, the total cross section for $Ξ^-p\toΛΛ$ is estimated in the same approach to vary between 2.2 mb and 1.0 mb in the momentum range of 0.40 to 0.65 GeV/c. Specifically, a cross section of 1.0 mb in the momentum range of 0.5 to 0.6 GeV/c imposes a constraint on the upper bound of the decay width of the $Ξ^-$ particle in infinite nuclear matter, revealing $Γ_Ξ< \sim 0.6$ MeV.
format Preprint
id arxiv_https___arxiv_org_abs_2503_17614
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Cross section Measurements for $^{12}$C$(K^-, K^+Ξ^-)$ and $^{12}$C$(K^-, K^+ΛΛ)$ Reactions at 1.8 GeV$/c$
Jung, Woo Seung
Ichikawa, Yudai
Kang, Byung Min
Ahn, Jung Keun
Choi, Sung Wook
Fujita, Manami
Harada, Takeshi
Hasegawa, Shoichi
Hayakawa, Shuhei
Hwang, Sang Hoon
Hicks, Kenneth
Imai, Ken'ichi
Ishikawa, Yuji
Kajikawa, Shunsuke
Kamada, Kento
Kim, Shin Hyung
Kitaoka, Tomomasa
Lee, Jaeyong
Lee, Jong Won
Miwa, Koji
Morino, Taito
Oura, Fumiya
Sako, Hiroyuki
Sakao, Tamao
Saito, Masayoshi
Sato, Susumu
Tamura, Hirokazu
Tanida, Kiyoshi
Takahashi, Toshiyuki
Ukai, Mifuyu
Wada, Shunsuke
Yamamoto, Takeshi O.
Yang, Seongbae
Nuclear Experiment
High Energy Physics - Phenomenology
We present a measurement of the production of $Ξ^-$ and $ΛΛ$ in the $^{12}$C$(K^-, K^+)$ reaction at an incident beam momentum of 1.8 GeV/$\mathit{c}$, based on high-statistics data from J-PARC E42. The cross section for the $^{12}$C$(K^-, K^+Ξ^-)$ reaction, compared to the inclusive $^{12}$C$(K^-, K^+)$ reaction cross section, indicates that the $Ξ^-$ escaping probability peaks at 70\% in the energy region of $E_Ξ=$100 to 150 MeV above the $Ξ^-$ emission threshold. A classical approach using eikonal approximation shows that the total cross sections for $Ξ^-$ inelastic scattering ranges between 42 mb and 23 mb in the $Ξ^-$ momentum range from 0.4 to 0.6 GeV/c. Furthermore, based on the relative cross section for the $^{12}$C$(K^-, K^+ΛΛ)$ reaction, the total cross section for $Ξ^-p\toΛΛ$ is estimated in the same approach to vary between 2.2 mb and 1.0 mb in the momentum range of 0.40 to 0.65 GeV/c. Specifically, a cross section of 1.0 mb in the momentum range of 0.5 to 0.6 GeV/c imposes a constraint on the upper bound of the decay width of the $Ξ^-$ particle in infinite nuclear matter, revealing $Γ_Ξ< \sim 0.6$ MeV.
title Cross section Measurements for $^{12}$C$(K^-, K^+Ξ^-)$ and $^{12}$C$(K^-, K^+ΛΛ)$ Reactions at 1.8 GeV$/c$
topic Nuclear Experiment
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2503.17614