Shelah proved that Cohen forcing adds an $\aleph_1$-Souslin tree. In this work, we identify a rather large class of notions of forcing that, assuming a GCH-type assumption, add a $\lambda^+$-Souslin tree. This class includes Prikry, Magidor and Radin forcing. This is joint work with Assaf Rinot.
A preview of the results is here: http://www.assafrinot.com/paper/26