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Average effective two-body interaction matrix elements in the s-d shell havebeen extracted, from data on experimentally measured isospin centroids, bycombining the recently derived new sum rules equations for pick-up reactionswith similar known equations for stripping reactions performed on generalmultishell target states. Using this combination of stripping and pick-upequations, the average effective matrix elements for the shells, 1d^2_5/2,2s^2_1/2 and 1d^2_3/2 respectively have been obtained. A new feature of thepresent work is that the restriction imposed in earlier works on target states,that it be populated only by active neutrons has now been abandoned.Comment: 12 pages, RevTeX, e-mail: shardah@usa.ne

Effective Two-Body Interactions in the s-d Shell Nuclei Using Sum Rule Equations in Transfer Reactions