Primordial blackhole formation: exploring chaotic potential with a sharp step via the GLMS perspective

Abstract

Abstract A sharp step on a chaotic potential can enhance primordial curvature
fluctuations on smaller scales to the O(10−2 ) to form primordial black holes (PBHs).
The present study discusses an inflationary potential with a sharp step that results
in the formation of PBHs in four distinct mass ranges. We computed the fractional
abundance of PBHs (fP BH ) using the GLMS approximation of peak theory and also
the Press-Schechter (PS) formalism. In the two typical mass windows, 10−13 M⊙
and 10−11 M⊙ , fP BH calculated using the GLMS approximation is nearly equal to
1 and that calculated via PS is of 10−3 . In the other two mass windows 1M⊙ and
6M⊙ , fP BH obtained using GLMS approximation is 0.01 and 0.001 respectively, while
fP BH calculated via PS formalism yields 10−5 and 10−6 . The results obtained via
GLMS approximation are found to be consistent with observational constraints. A
comparative analysis of fP BH obtained using the GLMS perspective and the PS
formalism is also included.