An inelastic neutron scattering study of overdoped Bi2Sr2CaCu2O8+delta (T-c
= 83 K) has revealed a. resonant spin excitation in the superconducting st
ate. The mode energy is E-res = 38.0 meV, significantly lower than in optim
ally doped Bi2Sr2CaCu2O8+delta (T-c = 91 K, E-res = 42.4 meV. This observat
ion. which indicates a constant ratio E-res/k(B)T(c) similar to 5.4, helps
resolve a long-standing controversy about the origin of the resonant spin e
xcitation in high temperature superconductors.