Pulsar spin evolution, kinematics, and the birthrate of neutron star binaries

From considerations of spin evolution and kinematics in the Galactic potent ial, we argue: that the pulsars B1913+16, B1534+12, and B2127+11C may be yo unger than previously assumed, and we find that a lower bound on the format ion and merger rate of close double neutron star binaries is 10(-6.7)f(b)(- 1)f(d)(-1) yr(-1), where f(b) is the beaming fraction and f(d) accounts for the possibility that the known double neutron star binaries are atypical o f the underlying population (e.g., if most such binaries are born with shor ter orbital periods). If we assume no prior knowledge of the detectable lif etimes of such systems, the rate could be as large as similar or equal to 1 0(-5.0)f(b)(-1)f(d)(-1) yr(-1). From both plausible bounds on f(b) and f(d) , and a revision of the independently derived limit proposed by Bailes, we argue that a firm upper bound is 10(-4) yr(-1). We also present a unifying empirical overview of the spin-up of massive binary pulsars based on their distribution in spin period P and spin-down rate (P) over dot, finding evid ence for two distinct spin-up processes, one dominated by disk accretion, t he other by wind accretion. We argue that the positions of binary pulsars i n the P-(P) over dot diagram can be understood if (1) there exists a Galact ic population of pulsars in double neutron star systems with combinations o f spin and orbital periods that have prevented their detection in surveys t o date; (2) recycled pulsars in wide-orbit binaries are not born near the c anonical spin-up line in the P-(P) over dot diagram because they were predo minantly spun up through wind accretion; and (3) there exists a disfavored evolutionary endpoint for radio pulsars with spin periods 5-30 ms and (P) o ver dot > 10(-19) s s(-1).