  The stability condition of Landau Fermi liquid theory may be broken when the
interaction between particles is strong enough. In this case, the ground state
is reconstructed to have a particle distribution different from the Fermi-step
function. For specific instances, one case with the vector boson exchange and
another with the relativistic heavy-ion collision are taken into consideration.
With the vector boson exchange, we find that the relative weak interaction
strength can lead to the ground-state rearrangement as long as the fermion mass
is large enough. It is found that the relativistic heavy-ion collision may also
cause the ground-state rearrangement, affecting the statistics of the collision
system.
