Imaginary-time method for radiative capture reaction rate

Details Imaginary-time method for radiative capture reaction rate Imaginary-time method for radiative capture reaction rate

2012-02-15

arxiv.org/abs/1202.3309v1

Physics

Nuclear Physics

Nuclear Theory

8 pages, 7 figures

Scientific paper

We propose a new computational method for astrophysical reaction rate of radiative capture process. In the method, an evolution of a wave function is calculated along the imaginary-time axis which is identified as the inverse temperature. It enables direct evaluation of reaction rate as a function of temperature without solving any scattering problem. The method is tested for two-body radiative capture reaction, ${^{16}{\rm O}}(\alpha,\gamma){^{20}{\rm Ne}}$, showing that it gives identical results to that calculated by the ordinary procedure. The new method will be suited for calculation of triple-alpha radiative capture rate for which an explicit construction of the scattering solution is difficult.

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