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Three-body resonant radiative capture reactions in astrophysics

L. V. Grigorenko·M. V. Zhukov
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Abstract

We develop the formalism based on the S-matrix for $3 \to 3$ scattering to derive the direct three-body resonant radiative capture reaction rate. Within this formalism the states, which decay only/predominantly directly into three-body continuum, should also be included in the capture rate calculations. %The results obtained indicate that some theoretical calculations are %incomplete. Basing on the derivation, as well as on the modern experimental data and theoretical calculations concerning $^{17}$Ne nucleus, we significantly update the reaction rate for $^{15}$O($2p$,$γ$)$^{17}$Ne process in explosive environment. We also discuss possible implementations for the $^{18}$Ne($2p$,$γ$)$^{20}$Mg, $^{38}$Ca($2p$,$γ$)$^{40}$Ti, and $^4$He($nα$,$γ$)$^{9}$Be reactions.

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L. V. Grigorenko, M. V. Zhukov. 2005-02-12. Three-body resonant radiative capture reactions in astrophysics. https://doi.org/10.1103/physrevc.72.015803

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