¹²C+¹²C scattering as the reference system for reaction cross section

2023/06/27 by Shingo Tagami, Tagami, Shingo, T. Wakasa +3
Physics and Astronomy · #FOS: Physical sciences #Nuclear Experiment (nucl-ex) #Nuclear Theory (nucl-th) #Nuclear physics research studies #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · doi:10.48550/arxiv.2306.15178

openalex publication_date 2023/06/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In our previous paper, we tested the chiral (Kyushu) folding model for ¹²C+¹²C scattering, since the profile function in the Glauber mode is constructed for the system. We found that the folding model is reliable for reaction cross sections σ_{\rm R} in 30 \lsim E_{\rm lab} \lsim 100 ~MeV and 250 \lsim E_{\rm lab} \lsim 400 ~MeV. Accurate data are available for ¹²C scattering on ⁹Be, ¹²C, ²⁷Al targets in 30 \lsim E_{\rm lab} \lsim 400 ~MeV. We determine matter radius r_m(\rm exp) of ¹²C from the accurate σ_{\rm R}(\rm exp), using the Kyushu g-matrix folding model. Our result is r_{\rm m}¹²(\rm exp) =2.352 ± 0.013~fm for ¹²C. The model is applied for the accurate data on ¹²C+²⁷Al scattering, and yields r_{\rm m}(\rm exp) =2.936 ± 0.012~fm for ²⁷Al. Our conclusion is that r_{\rm m}(\rm exp) =2.352 ± 0.013~fm agrees with r_{\rm m}(\rm exp) =2.35 ± 0.02~fm determined from interaction cross sections by Tanihata \it et. al..

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