STRUCTURE OF LOW-ENERGY COLLECTIVE O--STATES IN DOUBLY MAGIC NUCLEI AND MATRIX-ELEMENTS OF THE P-ODD AND P-ODD AND T-ODD WEAK INTERACTION

The structure of the collective low-energy J(pi) = 0(-) (T = 0 and T = 1) modes is studied for a doubly magic nucleus in a simplified analyt ic model of RPA. The 0(-) phonon states (T = 0, 1) lie at energies E(T =0)(0(-)) less than or similar to omega and E(T=1)(0(-)) > omega, wher e omega is the oscillator frequency. The matrix elements of P-odd and P- and T-odd weak one-body potentials connecting the ground state to t hese 0(-)-states, W-coll, are enhanced by the factor similar to 2(omeg a/E)(1/2)A(1/3) similar to 10 as compared to the single-particle value w(sp) what can result in values \W-coll\ similar to 20-30 eV if stand ard values of DDH parameters are used for w(sp). Similar enhancement a rises in the P- and T-odd case.