Structure of symmetrization group and its influence on symmetries in the intrinsic frame for collective nuclear models is analysed.

No abstract

Increasingly more intense beams of radioactive isotopes allow moving into unknown areas of the nuclear chart and exploring the limits in nuclear binding and proton-to-neutron ratio. New aspects of nuclear structure and important results for nuclear astrophysics are obtained. The paper provides some overview of experimental developments, facilities and research results; and is intended to set the stage for the many exciting examples of research presented in these proceedings.

A collective approach combining zero-and one-phonon excitations in nuclear quadrupole and octupole modes together with the rotational motion up to spin J = 5 is used to verify the possibility of reproducing the experimental electric B(Eλ) probabilities in 156 Gd nucleus in presence of the high-rank tetrahedral/octahedral symmetries in collective quadrupole, octupole and rotational states.

The rotational basis for irreducible representations of the point groups T d , O and O h for nuclear angular momenta J = 0, 1 . . . , 5 is constructed.