THSR wave function and non-localized clustering

Abstract The main ideas to construct the THSR wave function are given, and the relation to other approaches such as the Brink-type cluster wave function approach is shown. The effect of the Pauli-forbidden states on the inter-cluster potential is described by the orthogonality condition model. The duality of the cluster structure and shell-model structure for nuclei in the ground state and in excited states is discussed. Future work on $$n \alpha $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>n</mml:mi> <mml:mi>α</mml:mi> </mml:mrow> </mml:math> condensate states in more complex nuclei and the formation of cluster structures in excited nuclei is outlined.