  This work is aimed at numerically investigating the behavior of the Fermi
energy in Strontium-doped Lanthanum Cuprate, using a numerical zero temperature
elastic scattering cross-section procedure in the unitary collision regime. The
main task is to vary the zero temperature superconducting energy gap from its
zero value in the normal state, to the highest value of 60 meV. We find that
there are two different reduced phase space regimes for the first harmonic line
node's order parameter. The first scenario considers that when the Fermi energy
and the nearest hopping terms have the same order of magnitude, the physics can
be described by a picture given by nonequilibrium statistical mechanics. A
second scenario indicates, that when the Fermi energy parameter and the hopping
term have different order of magnitude; the physical picture tends to be
related to the nonrelativistic quantum mechanical degrees of freedom coming
from quasi-stationary quantum energy levels, with a damping term seen in the
probability density distribution function, that is described in the
configuration space. Henceforth, it is concluded that the use of the zero
temperature elastic scattering cross-section links the phase and configuration
spaces through the inverse scattering lifetime, and helps to clarify the role
of the degrees of freedom in Strontium-doped Lanthanum Cuprate. Finally, we
think that the self-consistent numerical procedure with the reduced phase
space, induces nonlocality in the inverse scattering lifetime.
