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Three charged particles in the continuum. Astrophysical examples

V. B. Belyaev·S. B. Levin·S. L. Yakovlev
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Abstract

We suggest a new adiabatic approach for description of three charged particles in the continuum. This approach is based on the Coulomb-Fourier transformation (CFT) of three body Hamiltonian, which allows to develop a scheme, alternative to Born-Oppenheimer one. The approach appears as an expansion of the kernels of corresponding integral transformations in terms of small mass-ratio parameter. To be specific, the results are presented for the system $ppe$ in the continuum. The wave function of a such system is compared with that one which is used for estimation of the rate for triple reaction $ p+p+e\to d+ν, $ which take place as a step of $pp$-cycle in the center of the Sun. The problem of microscopic screening for this particular reaction is discussed.

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V. B. Belyaev, S. B. Levin, S. L. Yakovlev. 2003-10-21. Three charged particles in the continuum. Astrophysical examples. https://doi.org/10.1088/0953-4075/37/6/018

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