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We study the gravitational production of heavy X-particles of mass of theorder of the inflaton mass, produced after the end of inflation. We find that,in the presence of a derivative coupling of the inflaton field or of theX-field to the Einstein tensor, the number of gravitationally producedparticles is suppressed as the strength of the coupling is increased.

Gravitational Particle Production in Gravity Theories with Non-minimal Derivative Couplings