  We present a correlation that we have revealed, for the first time, between
both quantum concepts, namely: the Minimal Length (ML) and the Deformation
Dependent Mass (DDM) in transitional nuclei near the critical points symmetries
(CPS) X(3) and Z(4). Such a correlation could be considered as a new signature
for these CPS. This new signature allowed us to predict new candidate nuclei
for these critical points.
