Abstract
We report the status of the R-matrix code AMUR toward consistent cross-section evaluation and covariance analysis for the light-mass nuclei. The applicable limit of the code is extended by including computational capability for the charged-particle elastic scattering cross-sections and the neutron capture cross-sections as example results are shown in the main texts. A simultaneous analysis is performed on the 17 O compound system including the 16 O( n , tot ) and 13 C(α, n ) 16 O reactions together with the 16 O( n , n ) and 13 C(α,α) scattering cross-sections. It is found that a large theoretical background is required for each reaction process to obtain a simultaneous fit with all the experimental cross-sections we analyzed. Also, the hard-sphere radii should be assumed to be different from the channel radii. Although these are technical approaches, we could learn roles and sources of the theoretical background in the standard R-matrix.
Highlights
The cross-sections on the light-nuclei are essential for nuclear science and engineering
The R-matrix formalism [1] is rigorous and straightforward to the quantum mechanics, in which the S-matrix is deduced from the measured cross-sections in the resonance energy region
This paper focuses on the analysis of the 17O compound system, in which we technically solved a serious issue on the simultaneous fit of experimental cross-sections including those for the 13C(α,α) elastic scattering
Summary
The cross-sections on the light-nuclei are essential for nuclear science and engineering. The cross-sections are drawing attention for the ion-beam analysis, the astrophysics and the medical applications. Still inconsistencies exist between the measured and evaluated data, which could bring a large uncertainty in the practical applications. The R-matrix formalism [1] is rigorous and straightforward to the quantum mechanics, in which the S-matrix is deduced from the measured cross-sections in the resonance energy region. AMUR [2, 3] is a multi-level and multi-channel R-matrix code which is being in progress towards a consistent cross-sections evaluation for the light-mass nuclei. This paper focuses on the analysis of the 17O compound system, in which we technically solved a serious issue on the simultaneous fit of experimental cross-sections including those for the 13C(α,α) elastic scattering
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