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 load ing He-3-He-4 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 precis e nuclear spectroscopy experiments with oriented nuclei is carried out with this technique - SPIN program at JINR. The physics potential of nuclear or ientation experiments and the information, which can be obtained from the s tudy of directional distribution of gamma radiation from oriented nuclei, a re summarized. As the result of such nuclear orientation experiments extens ive tests of different symmetry and supersymmetry schemes relevant to nucle ar physics can be performed. Some examples of such symmetry and supersymmet ry schemes in nuclei, which can be tested in the framework of SPIN program, are indicated.