Primordial black holes and scalar induced density perturbations:the effects of probability density functions  

作　　者：Jing-Zhi Zhou Yu-Ting Kuang Zhe Chang Xukun Zhang Qing-Hua Zhu 周敬之况宇庭;常哲;张旭坤;朱庆华(Center for Joint Quantum Studies and Department of Physics,School of Science,Tianjin University,Tianjin 300350,China;Institute of High Energy Physics,Chinese Academy of Sciences,Beijing 100049,China;University of Chinese Academy of Sciences,Beijing 100049,China;College of Physics and Information Engineering,Shanxi Normal University,Taiyuan 030031,China;Department of Physics and Chongqing Key Laboratory for Strongly Coupled Physics,Chongqing University,Chongqing 401331,China)

机构地区：[1]Center for Joint Quantum Studies and Department of Physics,School of Science,Tianjin University,Tianjin 300350,China [2]Institute of High Energy Physics,Chinese Academy of Sciences,Beijing 100049,China [3]University of Chinese Academy of Sciences,Beijing 100049,China [4]College of Physics and Information Engineering,Shanxi Normal University,Taiyuan 030031,China [5]Department of Physics and Chongqing Key Laboratory for Strongly Coupled Physics,Chongqing University,Chongqing 401331,China

出　　处：《Chinese Physics C》2025年第2期202-208,共7页中国物理C(英文版)

基　　金：Supported by the National Nature Science Foundation of China(12475075,12075249,11690022)and the Key Research Program of the Chinese Academy of Sciences(XDPB15)。

摘　　要：We investigate the second order energy density perturbation induced by small-scale Gaussian and local-type non-Gaussian primordial curvature perturbations.The relative abundance of primordial black holes(PBHs)is calculated in terms of the probability density functions(PDFs)of the total energy density perturbationδ_(r)=δ(1)+1/2δ^(2).The effects of the second order density perturbation greatly reduce the upper bounds of small-scale power spectra of primordial curvature perturbations by one to two orders of magnitude.For a log-normal primordial power spectrum,its amplitude is constrained to be approximately,Aξ~3×10^(-3)and for the local-type non-Gaussianity with,the upper bound of is approximately 2.5×10^(-4).

关 键 词：NON-GAUSSIANITY primordial black hole primordial power specturm 

分 类 号：P145.8[天文地球—天体物理]