Comparative Analysis of Parameters of Pulsars With Breaking Indices n>0 and n<0

Abstract We analyzed the timing parameters (the rotational frequency \(\nu\), the first \(\left(\dot{\nu }\right)\)and second \(\left(\ddot{\nu }\right)\) time-derivative of frequency) and the derived parameters of a sample of pulsars that have their values of \(\ddot{\nu }\) (470 pulsars) recorded in the Australian Telescope National Facility (ATNF) pulsar catalogue. We formed various subsamples, those with breaking index \(n<0\) and \(n>0\), glitching and non-glitching pulsars. Our statistical analyses of the timing and derived parameters indicated some level of differences and similarities in the parameters analyzed. Glitching pulsars appear to have higher rotational frequency of pulsars than non-glitching pulsars, and pulsars with \(n>0\) appear to rotate faster than those with \(n<0\). Our results also suggest that glitching pulsars have lower values of \(\left|n\right|\) (where \(\left|n\right|\) is the absolute value of breaking index), and is it lower for subsample with \(n>0\) than for subsample with \(n<0\).