{ "id": "1705.06780", "version": "v1", "published": "2017-05-18T19:55:46.000Z", "updated": "2017-05-18T19:55:46.000Z", "title": "Where Are the r-modes? Chandra Observations of Millisecond Pulsars", "authors": [ "Simin Mahmoodifar", "Tod Strohmayer" ], "comment": "9 pages, 4 figures, published in ApJ", "journal": "The Astrophysical Journal, Volume 840, Number 2, article id. 94, 8 pp. (2017)", "doi": "10.3847/1538-4357/aa6d62", "categories": [ "astro-ph.HE", "astro-ph.SR" ], "abstract": "We present the results of {\\it Chandra} observations of two non-accreting millisecond pulsars, PSRs J1640$+$2224 (J1640) and J1709$+$2313 (J1709), with low inferred magnetic fields and spin-down rates in order to constrain their surface temperatures, obtain limits on the amplitude of unstable $r$-modes in them, and make comparisons with similar limits obtained for a sample of accreting low-mass X-ray binary (LMXB) neutron stars. We detect both pulsars in the X-ray band for the first time. They are faint, with inferred soft X-ray fluxes ($0.3-3$ keV) of $\\approx$ $6\\times10^{-15}$ and $3\\times 10^{-15}$ erg cm$^{-2}$ s$^{-1}$ for J1640 and J1709, respectively. Spectral analysis assuming hydrogen atmosphere emission gives global effective temperature upper limits ($90\\%$ confidence) of $3.3 - 4.3 \\times 10^5$ K for J1640 and $3.6 - 4.7 \\times 10^5$ K for J1709, where the low end of the range corresponds to canonical neutron stars ($M=1.4 M_{\\odot}$), and the upper end corresponds to higher-mass stars ($M=2.21 M_{\\odot}$). Under the assumption that $r$-mode heating provides the thermal support, we obtain dimensionless $r$-mode amplitude upper limits of $3.2 - 4.8 \\times 10^{-8}$ and $1.8 - 2.8 \\times 10^{-7}$ for J1640 and J1709, respectively, where again the low end of the range corresponds to lower-mass, canonical neutron stars ($M=1.4 M_{\\odot}$). These limits are about an order of magnitude lower than those we derived previously for a sample of LMXBs, except for the accreting millisecond X-ray pulsar (AMXP) SAX J1808.4$-$3658, which has a comparable amplitude limit to J1640 and J1709.", "revisions": [ { "version": "v1", "updated": "2017-05-18T19:55:46.000Z" } ], "analyses": { "keywords": [ "millisecond pulsars", "chandra observations", "effective temperature upper limits", "canonical neutron stars", "analysis assuming hydrogen atmosphere emission" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable" } } }