Correlation Study of Fermi TeV Blazars Spectrum Index, Peak Frequency of Energy Spectrum and Energy Spectrum Curvature

In this paper, the average state multiband data of 69 Fermi TeV blazars samples are collected, and the distribution of energy spectrum is fitted with a logarithmic parabolic model to obtain the relevant physical parameters. The paper conducts statistical analysis on three physical parameters, namely, spectral index, peak frequency of energy spectrum and energy spectrum curvature, and the results are as follows: (1) the spectral index distributions of HBLs, IBLs, LBLs and FSRQs are different, and the spectral index sizes of diffferent bands show the distribution law of HBLs < IBLs < LBLs, in the sample of BL lacs, except the radio bands. (2) there is a positive linear correlation between the peak frequency of the synchrotron radiation energy spectrum of BL Lac objects and the peak frequency of the inverse Compton scattering energy spectrum, indicating that the multi-band radiation energy of TeV BL Lac objects is well explained by the synchronous synchrotron-self-compton model. (3) through cluster analysis of the energy spectrum curvature distribution range of the given four types of samples of HBLs, IBLs, LBLs and FSRQs, it is shown that the spectral curvature distribution of the four types of samples of HBLs, IBLs, LBLs and FSRQs are different. (4) the peak frequency of the synchrotron radiation energy spectrum and the inverse Compton scattering energy spectrum have a strong negative correlation with the spectrum index of the infrared, optical, ultraviolet and soft X-ray bands, while the curvature of the synchrotron radiation energy spectrum has a positive correlation with the spectrum index of all bands except the radio band. (5) there is a strong negative correlation between the peak frequency of the synchrotron radiation energy spectrum and the curvature of the synchrotron radiation energy spectrum.