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We consider the inflationary model in which the inflaton $\phi$ couples toanother scalar field $\chi$ via the interaction $g^2(\phi-\phi_0)^2\chi^2$ witha small coupling constant $g$ ($g^2 \sim 10^{-7}$). We assume that there is asequence of "trapping points" $\phi_{0i}$ along the inflationary trajectorywhere particles of $\chi$-field become massless and are rather effectivelyproduced. We calculate the power spectrum of inflaton field fluctuationsoriginated from a backreaction of $\chi$-particles produced, using theSchwinger's "in-in" formalism. We show that the primary curvature powerspectrum produced by these backreaction effects is blue, which leads to astrong overproduction of primordial black holes (PBHs) in subsequent radiationera.

Trapping effects in inflation: blue spectrum at small scales