  The quasiparticle formalism invented by Lev Landau for description of
conventional Fermi liquids is generalized to exotic superconductivity
attributed to Cooper pairing, whose measured properties defy explanation within
the standard BCS-Fermi Liquid description. We demonstrate that in such systems
the quasiparticle number remains equal to particle number, just as in common
Fermi liquids. We are then able to explain the puzzling relationship between
the variation with doping $x$ of two key properties of the family
La$_{2-x}$Sr$_x$Cu0$_4$ of exotic superconductors, namely the $T=0$ superfluid
density $\rho_{s0}(x)$ and the coefficient $A_1(x)$ in the linear-in-$T$
component of the normal-state low-$T$ resistivity $\rho(T)=\rho_0+A_1T+A_2T^2$,
in terms of the presence of interaction-induced flat bands in the ground states
of these metals.
