  The anisotropy of the electron scattering rate and lifetime
$\Gamma_\mathbf{p}=1/\tau_\mathbf{p}$ observed by Angle Resolved Photoemission
Spectroscopy (ARPES) is evaluated using $s$-$d$ Kondo-Zener exchange
Hamiltonian used previously to describe superconducting properties of
high-$T_c$ cuprates; for correlation between critical temperature $T_c$ and BCS
coupling constant, for example. The performed qualitative analysis reveals that
"cold spots" correspond to nodal regions of the superconducting phase where the
superconducting gap is zero, because the exchange interaction is annulled. Vice
versa, "hot spots" and intensive scattering in the normal state correspond to
the regions with maximal gap in the superconducting phase. We have obtained
that separable kernel postulated in the Fermi liquid approach to the normal
phase is the same kernel which is exactly calculated in the framework of the
$s$-$d$ approach in the Linear Combination of Atomic Orbital (LCAO)
approximation for CuO$_2$ plane. In this sense, at least on the qualitative
level, the superconducting cuprates are described by one and the same
Hamiltonian applied to their superconducting and normal properties. For the
overdopedcuprates having conventional Fermi liquid behavior we derived the
corresponding Stoss-integral for the $s$-$d$ interaction in the framework of
LCAO approximation which is the central result of the present study. Repeating
the thermodynamics we observed that for optimally doped cuprates
$2\Delta_\mathrm{max}/T_c$ is in good agreement with Pokrovsky theory for
anisotropic gap superconductors.
