0.4 0.42 0.44 0.46 0.48 500 1000 1500 2000 2500 k$_{|}$$_{|}$ (Inverse Angstroms) Counts −0.08 −0.06 −0.04 −0.02 0 0.02 0 500 1000 1500 2000 2500 3000 3500 4000 4500 5000 Binding Energy (meV) Counts a) b) k =.0063   .0005 A −1 E=.0095   .0006 meV FIG. 4. (Color online) a) Lorentzian fit (black line) to deconvolved data of Figure 3a including linear background and Fermi cutoff. b) Lorentzian fit with linear background to deconvolved data of Figure 3b. analyses were further complicated by the Bogoliubov dispersion acquired by the band with the opening of the superconducting gap. Indeed the opening of the gap yields a double valued function in momentum up to several meV below the gap edge with a very rapidly changing, nonlinear dispersion. The spectra were thus analyzed with EDC’s by fitting the spectra to Lorentzians with a linear background. While it has been suggested that a more complicated, intrinsically asymmetric line shape is required to fit EDC’s of the cuprates accurately we find that the deconvolved data at low binding energies, exemplified in Figure 4, are indeed very well fit at both the high and low binding energy side by simple Lorentzians. Inverse lifetimes or scattering rates, Γ$_{⃗}$ $_{k}$( ω ), extracted in this manner are shown in Figure 2 as a function of binding energy. At very low binding energies, in the vicinity of the gap edge, the lifetime rapidly increases and reaches a maximum at ⃗ k ∼ ⃗ k$_{F}$ , e.g. where the peak value of the superconducing gap Δ$_{⃗}$ k is measured. Moving from left to right past ⃗ k$_{F}$ (in Figure 1) the lifetime decreases while the band dispersion folds back. The increase in peak width to the right of ⃗ k$_{F}$ and folding back of the dispersion reflect the redistribution of spectral weight between the occupied and unoccupied branches of the energy symmetric Bogoliubov 7