Three-potential formalism for the three-body Coulomb scattering problem

We propose a three-potential formalism for the three-body Coulomb scattering problem. The corresponding integral equations are mathematically well behaved and can succesfully be solved by the Coulomb-Sturmian separable expansion method. The results show perfect agreements with existing low-energy $n$-$d$ and $p$-$d$ scattering calculations.