Secular evolution of the period and inclination of the magnetic to rotation axis and recycled pulsars

Statistics – Computation

Scientific paper

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Computational Astrophysics, Pulsars, Secular Variations, Stellar Magnetic Fields, Stellar Rotation, Least Squares Method, Statistical Analysis, Stellar Evolution

Scientific paper

Statistical analysis has been carried out of the relations between period and the age P - t(c), and the inclination of magnetic to rotation axis to the age alpha - t(c) of pulsars have been done. Up to characteristic ages t(c) = 3 x 10 exp 7 years, the period increases as expected. Best-fitting parameters of this approximation are the time-scale of the magnetic moment decay tau(B) = 4 x 10 exp 6 years and breaking index n = 3.6. For t(c) greater than 3 x 10 exp 7 years, the P - t(c) dependence is significantly different. The inclination alpha of magnetic to rotation axis decreases versus age, showing a secular alignment of the axis. But this decrease continues also only up to t(c) = 3 x 10 exp 7 years. Thus, both P - t(c) and alpha - t(c) dependencies indicate that most of the pulsars of ages t(c) greater than 3 x 10 exp 7 years are not evolutionary continuations of more younger ones, but apparently represent another population of pulsars, which differ by their genetic history or physical processes. This population includes all known millisecond pulsars. It is suggested that this population is a so-called 'recycled' pulsar. The list of candidates of 'recycled' pulsars is presented. A new evaluation of the inclination of the magnetic to the rotation axis for 105 pulsars is presented.

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