Journal Article Imaginary-time formalism for triple-α reaction rates

Akahori, T.  ,  Funaki, Y.  ,  Yabana, K.

92 ( 2 )  , p.022801 , 2015-08 , the American Physical Society
Using imaginary-time formalism, it is shown that the triple-α reaction rate can be reliably calculated without the need to solve scattering problems involving three charged particles. The calculated reaction rate is found to agree well with the empirical NACRE rate, which is widely adopted in stellar evolution calculations. The reason for this is explained using R-matrix theory. Extremely slow convergence is found to occur when a coupled-channel expansion is introduced, which helps to explain the very different reaction rates obtained using a coupled-channel approach.

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