Three-body resonant radiative capture reactions in astrophysics

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($2p$,$\gamma$)${}^{17}$Ne process in explosive environment. We also discuss possible implementations for the ${}^{18}$Ne($2p$,$\gamma$)${}^{20}$Mg, ${}^{38}$Ca($2p$,$\gamma$)${}^{40}$Ti, and ${}^4$He($n\alpha$,$\gamma$)${}^9$Be reactions.

arXiv comment9 pages, 3 figures

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• Resonance parameters of the first 1/2+ state in 9Be and astrophysical implications
• Continuum and three-nucleon force in Borromean system: The 17Ne case
• The quest for novel modes of excitation in exotic nuclei
• Radiative capture reaction for ${}^{17}$Ne formation within a full three-body model
• Search for $2p$ decay of the first excited state of ${}^{17}$Ne
• Capture reactions into borromean two-proton systems at rp-waiting points
• From Coulomb excitation cross sections to non-resonant astrophysical rates in three-body systems: ${}^{17}$Ne case
• Combined few-body and mean-field model for nuclei
• Triple charged-particle decays of resonances illustrated by 12C-states
• Two-proton capture on the ${}^{68}$Se nucleus with a new self-consistent cluster model
• Three-body vs. dineutron approach to two-neutron radiative capture in ${}^6$He
• Asymptotic normalization coefficient method for two-proton radiative capture
• Decay of low-lying 12C resonances within a 3alpha cluster model