  We propose a new non-Fermi liquid ground state in one dimension that is not
of the Luttinger type. It is the ground state of fermions interacting via a
long range repulsive interaction in real space of the form $ V(x) = e^2/|x| $.
We characterise it by computing the momentum distribution which is perfectly
flat near the Fermi points signalling a radical departure from Luttinger liquid
theory(and Fermi liquid theory). The dispersion of elementary excitations is
found to be sublinear but gapless of the form $ v {} |q| {}[ Log[2k_{F}/|q|
]^{{1/2}} $. We also compute the conductance of a mesoscopic wire made of such
objects and contrast it from the answer we obtain for a Luttinger wire.
