Faddeev equation approach for three-cluster nuclear reactions

In this lecture we aim to present a formalism based on Faddeev-like equations for describing nuclear three-cluster reactions that include elastic, transfer and breakup channels. Two different techniques based on momentum-space and configuration-space representations are explained in detail. An important new feature of these methods is the possibility to account for the repulsive Coulomb interaction between two of the three clusters in all channels. Comparison with previous calculations based on approximate methods used in nuclear reaction theory is also discussed.