We discuss a parity nonconserving asymmetry in the cross section of KLL
dielectronic recombination of polarized electrons on the hydrogen-like ions
with Z≲60. This effect is strongly enhanced because of the
near-degeneracy of doubly-excited 2l2l′ states of opposite parity in He-like
ions. For ions with Z∼30 the asymmetry is of the order of 10−9. For
Z≈48 a level crossing takes place, leading to the PNC asymmetry of
±5×10−9, which is 108 times greater than the basic strength of
the weak interaction in atoms.Comment: 11 pages, 5 figures; v.2: sign errors in Eqs.(29-32,38) corrected,
figs.4,5 and related discussion change