Atomic nucleus as the laboratory for symmetry tests. The SPIN program

Two complementary facilities for nuclear orientation of radioactive nuclei, based on hyperfine interactions at low temperatures obtained with top loading ³He?⁴He dilution refrigerators, have been developed at JINR Dubna and Charles University in Prague. These facilities are well suited for nuclear orientation studies practically of any nuclei of physical interest, which can be produced on JINR YASNAPP and DRIBs complexes. Wide variety of precise nuclear spectroscopy experiments with oriented nuclei is carried out with this technique-SPIN program at JINR. The physics potential of nuclear orientation experiments and the information, which can be obtained from the study of directional distribution of gamma radiation from oriented nuclei, are summarized. As the result of such nuclear orientation experiments extensive tests of different symmetry and supersymmetry schemes relevant to nuclear physics can be performed. Some examples of such symmetry and supersymmetry schemes in nuclei, which can be tested in the framework of SPIN program, are indicated.