Abstract
Interference effect of neutron capture cross section between the compound and direct processes is investigated. The compound process is calculated by resonance parameters and the direct process by the potential mode. The interference effect is tested for neutron-rich $^{82}$Ge and $^{134}$Sn nuclei relevant to $r$-process and light nucleus $^{13}$C which is neutron poison in the $s$-process and produces long-lived radioactive nucleus $^{14}$C ($T_{1/2}=5700$ y). The interference effects in those nuclei are significant around resonances, and low energy region if $s$-wave neutron direct capture is possible. Maxwellian averaged cross sections at $kT=30$ and $300$ keV are also calculated, and the interference effect changes the Maxwellian averaged capture cross section largely depending on resonance position.
Highlights
The neutron capture reaction is one of the simplest nuclear reactions, but its importance is recognized in various fields
We considered the compound process and the direct process separately
The neutron capture cross section of the compound process was calculated by the resonance parameters and that of the direct process was calculated by the potential model
Summary
The neutron capture reaction is one of the simplest nuclear reactions, but its importance is recognized in various fields. Besides light nuclei and magic nuclei, the direct process becomes significant in neutron-rich nuclei as well because the number of resonances available to form the compound state is expected to be small due to the small neutron threshold energy. The total neutron capture cross section is described in general by summing the results of the compound and direct processes It was discussed [9, 10] that there is an interference effect between these processes, similar to the potential scattering and compound one in the elastic channel. The first nucleus locates next to the stability line in the nuclear chart, but it is important for nuclear data evaluation because 13C is neutron poison in s-process and can be a generator of long-lived nucleus 14C (T1/2 = 5700 y) The latter two are typical neutron-rich nuclei which may be involved in r-process.
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