The meaning inferred from the spin period distribution of normal pulsars

TL;DR

This paper analyzes the spin period distribution of normal pulsars, revealing an exponential decay pattern that links pulsar numbers to radiative element decay, offering new insights into pulsar population behavior.

Contribution

It introduces a novel statistical method that uncovers an exponential decay pattern in pulsar spin periods, connecting pulsar decay to radiative element decay.

Findings

Normal pulsar numbers decay exponentially with spin period.

The decay pattern links pulsar behavior to radiative element decay.

A half decay spin period for pulsars can be defined.

Abstract

We make statistics about the number distribution of normal radio pulsars according to the pulsar spin period. And find the physical meaning of the traditional statistical method about this problem is very limited. According to the statistical method proposed by us, the distribution rule is exactly the exponentially decay with the spin period increasing, especially important, which can be interpreted as normal radio pulsar number decays as the radiative elements decay. It discloses that though belonging to two different extreme scales of the universe and having different inner active mechanisms, the normal radio pulsars and radiative elements accord with the same varying rule. And like the half decay period of the radiative elements we can also introduce the half decay spin period of the normal radio pulsars.