Direct and sequential radiative three-body reaction rates at low temperatures

Abstract

We investigate the low-temperature reaction rates for radiative capture processes of three particles. We compare direct and sequential capture mechanisms and rates using realistic phenomenological parametrizations of the corresponding photodissociation cross sections.Energy conservation prohibits sequential capture for energies smaller than that of the intermediate two-body structure. A finite width or a finite temperature allows this capture mechanism. We study generic effects of positions and widths of two- and three-body resonances for very low temperatures. We focus on nuclear reactions relevant for astrophysics, and we illustrate with realistic estimates for the $\alpha$-$\alpha$-$\alpha$ and $\alpha$-$\alpha$-$n$ radiative capture processes. The direct capture mechanism leads to reaction rates which for temperatures smaller than 0.1 GK can be several orders of magnitude larger than those of the NACRE compilation.

To be published in European Physical Journal A

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Cited by in corpus (22)

• Frontiers in Nuclear Astrophysics
• High precision probe of the fully sequential decay width of the Hoyle state in ${}^{12}$C
• Coupled-channels calculations for nuclear reactions: from exotic nuclei to superheavy elements
• Alpha particle clusters and their condensation in nuclear systems
• Cross Section Measurement of 9Be(γ,n)8Be and Implications for α+α+n -> 9Be in the r-Process
• Three-body calculations of triple-alpha reaction
• Astrophysical reaction rate for ${}^9$Be formation within a three-body approach
• Analytical transformed harmonic oscillator basis for three-body nuclei of astrophysical interest: Application to 6He
• Direct and sequential radiative three-body reaction rates at low temperatures
• Low-temperature triple-alpha rate in a full three-body model
• The virtual-state character of the {9}^Be 1/2^+ state in the {9}^Be(γ,n){8}^Be reaction
• Imaginary-time theory for triple-alpha reaction rate
• Three-body effects in the Hoyle-state decay
• Three-body bremsstrahlung and the rotational character of the 12C-spectrum
• Capture reactions into borromean two-proton systems at rp-waiting points
• Inelastic cross sections and continuum transitions illustrated by ${}^8$Be results
• Determining astrophysical three-body radiative capture reaction rates from inclusive Coulomb break-up measurements
• Two-proton capture on the ${}^{68}$Se nucleus with a new self-consistent cluster model
• Direct and sequential four-body recombination rates at low temperatures
• Three-body radiative capture reactions
• Azimuthal angle distributions of neutrons emitted from the ${}^9$Be($\gamma$,$n$) reaction with linearly polarized $\gamma$-rays
• Studies of quasiclassical approach applicability to true three-body decays