The evolution of short-period binary pulsars: a systematic study

Astronomy and Astrophysics – Astronomy

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Binaries: Close, Binaries: General, Stars: Oscillations, Pulsars: Individual: Psr J0751+1807, Pulsars: Individual: Psr J1012+5307

Scientific paper

We present evolutionary sequences for low-mass close binary systems in which a low-mass (1.0-1.5 Msolar) secondary star transfers mass to a neutron star. Roche lobe filling occurs when the secondary is a turn-off main-sequence star (having a small helium core). We assume loss of angular momentum owing to gravitational wave radiation and magnetic braking. We have found that the loss (and the mechanism of loss) of mass and angular momentum from the system is the main factor determining the value of the bifurcation period (P_bif). The bifurcation period separates the formation of the converging systems from the diverging systems. Variations in the initial chemical composition, and in the initial mass of the secondary, lead only to minor changes in P_bif. We have also investigated how changes in the chemical composition influence the initial orbital period (P_i) versus final orbital period (P_f) relation. The initial chemical composition has a more significant effect on this relation for shorter P_i than for longer P_i. We have found systematic differences for the P_f versus white dwarf mass relation for various chemical compositions. For converging systems, we have found that there is a boundary orbital period (P_b) such that if P_i

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