Cross Section Measurements for 12C( <i>K</i> −, <i>K</i> +Ξ−) and 12C( <i>K</i> −, <i>K</i> +Λ Λ) Reactions at 1.8 GeV/ <i>c</i>

Abstract We present a measurement of the production of $\Xi ^-$ and $\Lambda \Lambda$ in the $^{12}$C$(K^-, K^+)$ reaction at an incident beam momentum of 1.8 GeV$/c$, based on high-statistics data from J-PARC E42. The cross section for the $^{12}$C$(K^-, K^+\Xi ^-)$ reaction, compared to the inclusive $^{12}$C$(K^-, K^+)$ reaction cross section, indicates that the $\Xi ^-$ emission probability peaks at 70% in the energy region of $E_\Xi =100$–150 MeV above the $\Xi ^-$ emission threshold. A classical approach using eikonal approximation shows that the total cross section for $\Xi ^-$ inelastic scattering ranges between 42 mb and 23 mb in the $\Xi ^-$ momentum range from 0.4 to 0.6 GeV$/c$. Furthermore, based on the relative cross section for the $^{12}$C$(K^-, K^+\Lambda \Lambda )$ reaction, the total cross section for $\Xi ^-p\rightarrow \Lambda \Lambda$ is estimated in the same approach to vary between 2.2 mb and 1.0 mb in the momentum range of 0.40–0.65 GeV$/c$. Specifically, a cross section of 1.0 mb in the momentum range of 0.5–0.6 GeV$/c$ imposes a constraint on the upper bound of the decay width of the $\Xi ^-$ particle in infinite nuclear matter, revealing $\Gamma _\Xi &amp;lt; \sim 0.6$ MeV.

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Publication Details

Journal
Progress of Theoretical and Experimental Physics
Published
2025-04-25
DOI
https://doi.org/10.1093/ptep/ptaf064
Primary Topic
Particle physics theoretical and experimental studies
Type
article
Field-Weighted Citation Impact
0.00

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article

Cross Section Measurements for 12C( K −, K +Ξ−) and 12C( K −, K +Λ Λ) Reactions at 1.8 GeV/ c

Hirokazu Tamura, Kento Kamada, M. Saito, M. Ukai et al.
Progress of Theoretical and Experimental Physics
Particle physics theoretical and experimental studies
article

Cross Section Measurements for 12C( K −, K +Ξ−) and 12C( K −, K +Λ Λ) Reactions at 1.8 GeV/ c

Hirokazu Tamura, Kento Kamada, M. Saito, M. Ukai, K. Miwa, H. Sako, Fumiya Oura, Shin Hyung Kim, T. Kitaoka, Shoichi Hasegawa, T. Takahashi, Seongbae Yang, Kiyoshi Tanida, J. K. Ahn, T. Sakao, Shuhei H. Hayakawa, Tatsuro Morino, Yuji Ishikawa, Jaeyong Lee, Jong Won Lee, Woo Seung Jung, Byung Min Kang, T. Harada, Sung Wook Choi, Susumu Sato, Shunsuke Kajikawa, T. O. Yamamoto, Manami Fujita, Ken’ichi Imai, Shunsuke Wada, K. Hicks, Y. Ichikawa, Sang Hoon Hwang
article en

Abstract

Abstract We present a measurement of the production of $\Xi ^-$ and $\Lambda \Lambda$ in the $^{12}$C$(K^-, K^+)$ reaction at an incident beam momentum of 1.8 GeV$/c$, based on high-statistics data from J-PARC E42. The cross section for the $^{12}$C$(K^-, K^+\Xi ^-)$ reaction, compared to the inclusive $^{12}$C$(K^-, K^+)$ reaction cross section, indicates that the $\Xi ^-$ emission probability peaks at 70% in the energy region of $E_\Xi =100$–150 MeV above the $\Xi ^-$ emission threshold. A classical approach using eikonal approximation shows that the total cross section for $\Xi ^-$ inelastic scattering ranges between 42 mb and 23 mb in the $\Xi ^-$ momentum range from 0.4 to 0.6 GeV$/c$. Furthermore, based on the relative cross section for the $^{12}$C$(K^-, K^+\Lambda \Lambda )$ reaction, the total cross section for $\Xi ^-p\rightarrow \Lambda \Lambda$ is estimated in the same approach to vary between 2.2 mb and 1.0 mb in the momentum range of 0.40–0.65 GeV$/c$. Specifically, a cross section of 1.0 mb in the momentum range of 0.5–0.6 GeV$/c$ imposes a constraint on the upper bound of the decay width of the $\Xi ^-$ particle in infinite nuclear matter, revealing $\Gamma _\Xi &amp;lt; \sim 0.6$ MeV.

Progress of Theoretical and Experimental PhysicsVol. 2025(9)
Japan Atomic Energy Agency (JP), High Energy Accelerator Research Organization (JP), Seoul National University (KR), Korea University (KR), Tohoku University (JP), Kyoto University (JP), Korea Research Institute of Standards and Science (KR), Kyungpook National University (KR), Ohio University (US), Advanced Science Research Center (JP)
National Research Foundation, Ministry of Education, Culture, Sports, Science and Technology
Affordable and clean energy
Openalex Percentile: Top 95%
Particle physics theoretical and experimental studies
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