  Primordial superheavy particles, considered as the source of Ultra High
Energy Cosmic Rays (UHECR) and produced in local processes in the early
Universe, should bear some strictly or approximately conserved charge to be
sufficiently stable to survive to the present time. Charge conservation makes
them to be produced in pairs, and the estimated separation of particle and
antiparticle in such pair is shown to be in some cases much smaller than the
average separation determined by the averaged number density of considered
particles. If the new U(1) charge is the source of a long range field similar
to electromagnetic field, the particle and antiparticle, possessing that
charge, can form primordial bound system with annihilation timescale, which can
satisfy the conditions, assumed for this type of UHECR sources. These
conditions severely constrain the possible properties of considered particles.
