I think there is an historic enmity between them. [+ between]
In Poland, which lost a fifth of its population during the war, historic enmity is never far below the surface.
But the enmity stops the moment they clock off and amble peaceably home.
Their deep, longstanding enmity has become a part of the legend.
All this rivalry and enmity gives rise to some funny lines.
Enmity denotes a strong, settled feeling of hatred, whether concealed, displayed, or latent; , hostility usually suggests enmity expressed in active opposition, attacks, etc.; , animosity suggests bitterness of feeling that tends to break out in open hostility; , antagonism stresses the mutual hostility or enmity of persons, forces, etc.
