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    Every nearby energetic pulsar is surrounded by a region of inhibited diffusion

    Isabelle John1,2,* and Tim Linden3,4,†

    • *Contact author: isabelle.john@unito.it
    • †Contact author: linden@fysik.su.se

    Phys. Rev. D 113, 123040 – Published 15 June, 2026

    DOI: https://doi.org/10.1103/cr87-ndw5

    Abstract

    The High-Energy Stereoscopic System (H.E.S.S.) telescope has recently detected the total electron-plus-positron (e+e−) flux up to 40 TeV, finding it to be a featureless and steeply falling power law above 1 TeV. This result is in stark tension with standard one-zone models of pulsar e+e− injection and diffusion, which predict a hard-spectrum signal above ∼10  TeV. We model the local pulsar population, and find 21 sources that would each individually overproduce the H.E.S.S. e+e− flux in a one-zone diffusion model. We conclude that every energetic pulsar younger than ∼500  kyr must be surrounded by a region of inhibited diffusion (e.g., a supernova remnant, pulsar wind nebula, or TeV halo) that prevents the transport of these e+e− to Earth. Because the high-electron density in these regions produces bright synchrotron and inverse-Compton emission, we conclude that all nearby pulsars are detectable as (potentially unassociated) radio, x-ray or γ-ray sources.

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