Published online by Cambridge University Press: 27 September 2017
A new parameter K is defined which becomes very important in our study of pulsar evolution. The distribution of pulsars in the K vs. logtc diagram reveals some constraints which can best be described by theoretical curves.
The results show that the evolution of a pulsar is characterized by two different stages corresponding to the decrease of the emission-cone width and the alignment of the magnetic axis, respectively. The decay time of the alignment of the magnetic inclination is 1.5 X 107 yr. The time scale is 6 X 104 yr when the value of ρt drops to e times its final value (t → ∞). Investigation of the birth values α(0) lends support to a random orientation of the pulsar magnetic axis with respect to the spin axis. The evolution limit of ρ is shown to have a Gaussian distribution around a central value of 5.6° with σ = 2.0°. As a result of this K analysis, new methods are suggested to determine the birth values α(0), the final values of ρ0, and the pulsar's overall geometry.