  The quasiparticle excitation is one of the most fundamental and ubiquitous
physical observables in cuprate superconductors, carrying information about the
bosonic glue forming electron pairs. Here the autocorrelation of the
quasiparticle excitation spectral intensities in cuprate superconductors and
its connection with the quasiparticle scattering interference are investigated
based on the framework of the kinetic-energy driven superconducting mechanism
by taking into account the pseudogap effect. It is shown that the octet
scattering model of the quasiparticle scattering processes with the scattering
wave vectors ${\bf q}_{i}$ connecting the hot spots on the constant energy
contours is intrinsically related to the emergence of the highly anisotropic
momentum-dependence of the pseudogap. Concomitantly, the sharp peaks in the
autocorrelation of the quasiparticle excitation spectral intensities with the
wave vectors ${\bf q}_{i}$ are directly correlated to the regions of the
highest joint density of states. Moreover, the momentum-space structure of the
autocorrelation patterns of the quasiparticle excitation spectral intensities
is well consistent with the momentum-space structure of the quasiparticle
scattering interference patterns observed from Fourier-transform scanning
tunneling spectroscopy experiments. The theory therefore confirms an intimate
connection between the angle-resolved photoemission spectroscopy
autocorrelation and quasiparticle scattering interference in cuprate
superconductors.
