Aspects of spin-dependent dark matter search

The Weakly Interacting Massive Particle (WIMP) is the main candidate for the relic dark matter. A set of exclusion curves currently obtained for cross sections of the spin-dependent WIMP-proton and WIMP-neutron interaction is given. A two-orders-of-magnitude improvement of the sensitivity of the dark matter experiment is needed to reach the SUSY predictions for relic neutralinos. It is noted that near-future experiments with the high-spin isotope Ge-73 can yield a new important constraint on the neutralino-neutron effective coupling and the SUSY parameter space.