  We predict the existence of an undamped collective spin excitation in doped
graphene in the paramagnetic regime, referred to as paramagnons. Since the
electrons and the holes involved in this collective mode reside in different
valleys of the band structure, the momentum of these inter-valley paramagnons
is given by the separation of the valleys in momentum space. The energy of the
inter-valley paramagnons lies in the void region below the continuum of
inter-band single-particle electron-hole excitations that appears when graphene
is doped. The paramagnons are undamped due to the lack of electron-hole
excitations in this void region. Their energy strongly depends on doping
concentration, which can help to identify them in future experiments.
