A relation between the resonance neutron peak and ARPES data in cuprates

We argue that the resonant peak observed in neutron scattering experiments on superconducting cuprates and the peak/dip/hump features observed in ARPES measurements are by-products of the same physical phenomenon. Both are due to feedback effects on the damping of spin fluctuations in a d-wave superconductor. We solve a set of coupled integral equations for fermionic and bosonic propagators, and show that the dynamical spin susceptibility below T-c possesses the resonance peak at Omega(res) proportional to xi(-1). The scattering of these magnetic excitations by electrons gives rise to a peak/dip/hump behavior of the electronic spectral function, the peak-dip separation is exactly Omega(res).