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. Also this inflationary model allows the separate consideration of observable parameters ns
and r on the CMB scale from the physics at small scales, where PBHs formation occur. In this work we computed the fractional abundance of PBHs (
f
PBH
) 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
⊙
,
f
PBH
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
1
M
⊙
and
6
M
⊙
,
f
PBH
obtained using GLMS approximation is 0.01 and 0.001 respectively, while
f
PBH
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
f
PBH
obtained using the GLMS perspective and the PS formalism is also included.