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Imprint of magnetic obliquity in apparent spin-down of radio pulsars

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Numerical simulations predict that the spin-down rate of a single rotation-powered neutron star depends on the angle α between its spin and magnetic axes as $P\dot{P} \propto \mu ^2 (k_0… Click to show full abstract

Numerical simulations predict that the spin-down rate of a single rotation-powered neutron star depends on the angle α between its spin and magnetic axes as $P\dot{P} \propto \mu ^2 (k_0 + k_1\sin ^2\alpha )$, where P is the star spin period, μ is its magnetic moment, while k0 ∼ k1 ∼ 1. Here we describe a simple observational test for this prediction based on the comparison of spin-down rates of 50 nearly orthogonal (with α close to 90 deg) and 27 nearly aligned (with α close to 0 deg) pulsars. We found, that the apparent pulsar spin-down is consistent with the theory if assumed, that magnetic moments of orthogonal rotators are systematically larger than those of aligned ones for ∼0.15..0.2 dex. Also, as a by-product of the analysis, we provide yet another constraint on the average braking index of radio pulsars as 1 ≤ n ≤ 4 with formal significance not worse than 99%.

Keywords: magnetic obliquity; obliquity apparent; imprint magnetic; spin; radio pulsars

Journal Title: Monthly Notices of the Royal Astronomical Society
Year Published: 2023

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