Three charged particles in the continuum. Astrophysical examples

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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→ 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.