The asymptotic behaviour of the non-adiabatic matrix elements connecting the ground state and continuum of the two-centre problem

Abstract
The asymptotic formulae for the three-body system effective potentials U0,j in the adiabatic basis connecting the ground state and the continuum states are obtained at R to infinity . They appeared to decrease exponentially. Some connection formulae between the matrix elements are derived and the comparison with the numerical calculations is discussed.

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