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

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