  A superdeformed (SD) band has been identified in a non - alpha - conjugate
nucleus 35Cl. It crosses the negative parity ground band above 11/2- and
becomes the yrast at 15/2-. Lifetimes of all relevant states have been measured
to follow the evolution of collectivity. Enhanced B(E2), B(E1) values as well
as energetics provide evidences for superdeformation and existence of parity
doublet cluster structure in an odd-A nucleus for the first time in A = 40
region. Large scale shell model calculations assign (sd)16(pf)3 as the origin
of these states. Calculated spectroscopic factors correlate the SD states in
35Cl to those in 36Ar.
