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Imprint of magnetic obliquity in apparent spin-down of radio pulsars
High Energy Astrophysical Phenomena · Submitted 16 May 2023
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim 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 $\sim 0.15..0.2$ dex.
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The abstract, sentence by sentence
Numerical simulations predict that the spin-down rate of a single rotation-powered neutron star depends on the angle $\alpha$ 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, $\mu$ is its magnetic moment, while $k_0 \sim k_1 \sim 1$. Here we describe a simple observational test for this prediction based on the comparison of spin-down rates of 50 nearly orthogonal (with $\alpha$ close to 90 deg) and 27 nearly aligned (with $\alpha$ 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 $\sim 0.15..0.2$ dex. Also, as a by-product of the analysis, we provide yet another constraint on the average braking index of radio pulsars as $1 \le n \le 4$ with formal significance not worse than 99\%.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Numerical simulations predict that the spin-down rate of a single rotation-powered neutron star depends on the angle $\alpha$ 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, $\mu$ is its magnetic moment, while $k_0 \sim k_1 \sim 1$. | background 1.00 | 0.05 | 0.04 | asserted 0.82 |
| s1 | Here we describe a simple observational test for this prediction based on the comparison of spin-down rates of 50 nearly orthogonal (with $\alpha$ close to 90 deg) and 27 nearly aligned (with $\alpha$ close to 0 deg) pulsars. | method 0.66 | 0.86 | 0.04 | asserted 0.89 |
| s2 | 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 $\sim 0.15..0.2$ dex. | result 0.97 | 0.97 | 0.86 | hedged possibility 0.83 |
| s3 | Also, as a by-product of the analysis, we provide yet another constraint on the average braking index of radio pulsars as $1 \le n \le 4$ with formal significance not worse than 99\%. | result 1.00 | 0.92 | 0.06 | asserted 1.00 |
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Original abstract
Numerical simulations predict that the spin-down rate of a single rotation-powered neutron star depends on the angle $\alpha$ 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, $\mu$ is its magnetic moment, while $k_0 \sim k_1 \sim 1$. Here we describe a simple observational test for this prediction based on the comparison of spin-down rates of 50 nearly orthogonal (with $\alpha$ close to 90 deg) and 27 nearly aligned (with $\alpha$ 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 $\sim 0.15..0.2$ dex. Also, as a by-product of the analysis, we provide yet another constraint on the average braking index of radio pulsars as $1 \le n \le 4$ with formal significance not worse than 99\%.
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