Nuclear structure aspects of neutrinoless double-ß decay.

We decompose the neutrinoless double-ß decay matrix elements into sums of products over the intermediate nucleus with two less nucleons. We find that the sum is dominated by the J(π)=0(+) ground state of this intermediate nucleus for both the light and heavy neutrino decay processes. This provides a new theoretical tool for comparing and improving nuclear structure models. It also provides the connection to two-nucleon transfer experiments.

Schiff moment of the mercury nucleus and the proton dipole moment.

We calculated the contribution of internal nucleon electric dipole moments to the Schiff moment of (199) Hg. The contribution of the proton electric dipole moment was obtained via core polarization effects that were treated in the framework of random phase approximation with effective residual forces. We derived a new upper bound |d(p)|<5.4 x 10(-24)e cm of the proton electric dipole moment.