Parity mixing in the single particle states of quadrupole-octupole deformed nuclei

The effect of parity mixing in the single particle (s.p.) states of odd-mass nuclei with quadrupole-octupole deformations is examined through a reflection-asymmetric deformed shell model. A strong coupling scheme between the parity mixed s.p. state and a coherent quadrupole-octupole vibration mode in the core is considered. The Coriolis decoupling factor is obtained in a projected form corresponding to the good total parity of the system. The average parity of the s.p. state and the decoupling factor are evaluated in several nuclei as functions of the quadrupole and octupole deformation parameters beta(2) and beta(3). It is found that the average s.p. parity obtains various dominant (+ or -) values in the (beta(2), beta(3))-plane, while the s.p. wave function is strongly fragmented into components with different parities. It is shown that by comparing the behaviour of the decoupling factor in the (beta(2), beta(3))-plane to values obtained in a collective quadrupole-octupole model one can determine physically reasonable regions for the deformation parameters.