{ "id": "2305.09184", "version": "v1", "published": "2023-05-16T05:48:16.000Z", "updated": "2023-05-16T05:48:16.000Z", "title": "Imprint of magnetic obliquity in apparent spin-down of radio pulsars", "authors": [ "Anton Biryukov", "Gregory Beskin" ], "comment": "MNRAS accepted", "doi": "10.1093/mnras/stad1437", "categories": [ "astro-ph.HE" ], "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\\%.", "revisions": [ { "version": "v1", "updated": "2023-05-16T05:48:16.000Z" } ], "analyses": { "keywords": [ "radio pulsars", "apparent spin-down", "magnetic obliquity", "spin-down rate", "magnetic moment" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }