  Sum Rules equations for pick-up reactions are presented for the first time
for the energy centroids of states both for the isospin T_< (\equiv T_0 - 1
\over 2) and T_> (\equiv T_0 + {1 \over 2}) of the final nucleus when a nucleon
is picked up from a general multishell target state with isospin T_0. These
equations contain two-body correlation terms, <H^{01}>, which, at the present
moment, are difficult to handle analytically. These terms are managed by
combining these equations with the known stripping reactions equations. Sample
applications of these equations to experimental data are presented.
