Effects of T- and P-odd weak nucleon interaction in nuclei: Renormalizations due to residual strong interaction, matrix elements between compound states and their correlations with P-violating matrix elements

Manifestations of T- and P-odd weak interaction between nucleons in a nucleus are considered. Renormalization of this interaction due to residual strong interaction is studied both analytically and numerically. Expression for the effective two-body T- and P-violating interaction between nucleons in a nucleus, which incorporates the effects of the renormalization due to the residual strong interaction, is derived. Mean square matrix elements of the T- and P-odd weak interaction between nuclear compound states are calculated. Correlators between the T- and P-odd and the T-even and P-odd weak interaction matrix elements in the compound states are considered and estimates for these quantities are obtained