Published January 2026 | Version Published
Journal Article Open

Delayed maximum energy solar energetic particle events. Statistical analysis from Solar Orbiter

  • 1. ROR icon Southwest Research Institute
  • 2. ROR icon Johns Hopkins University
  • 3. ROR icon Kiel University
  • 4. ROR icon University of Alcalá
  • 5. ROR icon Montana State University
  • 6. ROR icon California Institute of Technology

Abstract

Investigations of solar energetic particles (SEPs) have long utilized the dispersive nature of onset times, as in, the earlier arrival of higher-energy particles compared to lower-energy particles, to infer information such as the path length to the acceleration site at the time of initial particle release. However, recent observations by Solar Orbiter and Parker Solar Probe have begun to characterize SEP events with an apparent delay in arrival times of the higher energy portion of the particle distribution, above a critical energy separating the delayed particles from that of the typical velocity dispersion signature at lower energies. Features of these delayed maximum energy (DME) SEP events, sometimes referred to as "inverse velocity dispersion" events, could provide new insight into the impacts of magnetic connectivity to locations along an expanding coronal mass ejection-driven (CME-driven) shock wave, variations of acceleration along the shock surface, and transport effects in the inner heliosphere. This study focuses on the occurrence rate and characteristics of DME events observed by Solar Orbiter relative to their footpoint locations with respect to the initial flare site. These DME events show a bias in occurrence rate towards events when the observer's footpoints were westward of the associated flare location. Additionally, estimated locations at which the highest-energy particles of DME events are released into the flux tube suggest continued release of increasingly higher-energy particles from the CME-driven shock into the connected flux tube well into the inner heliosphere. This indicates that DME events could be attributed to inner heliospheric effects and are not actually coronal in origin. This finding is consistent with previous observations and interpretations of SEP events connected westward of the associated flare.

Copyright and License

© The Authors 2026. Open Access article, published by EDP Sciences, under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Acknowledgement

Solar Orbiter is a mission of international cooperation between ESA and NASA, operated by ESA. The Suprathermal Ion Spectrograph (SIS) is a European facility instrument funded by ESA during construction, and NASA funds the instrument during Phase E operation. Solar Orbiter post-launch work at SwRI is supported by NASA contract 80GSFC25CA035, and we thank NASA headquarters and the NASA/GSFC Solar Orbiter project office for their continuing support. JRP acknowledges the financial support by the Spanish Ministerio de Ciencia, Innovación y Universidades FEDER/MCIU/AEI Projects ESP2017-88436-R and PID2019- 104863RB-I00/AEI/10.13039/501100011033. RFWS thanks ESA for supporting the build of SIS under contract number SOL.ASTR.CON.00004; the German Federal Ministry for Economic Affairs and Energy and the German Space Agency (Deutsches Zentrum für Luft- und Raumfahrt, e.V., (DLR)) for their unwavering support under grant numbers 50OT0901, 50OT1202, 50OT1702, and 50OT2002; and the University of Kiel and the Land Schleswig-Holstein for their support of SIS. RCA acknowledges support from NASA grant 80NSSC21K0733. RCA and RJF additionally thank NASA grant 80NSSC24K0908. RCA and SKV acknowledge support from NASA grant 80NSSC22K0993. We acknowledge the Community Coordinated Modeling Center (CCMC) at Goddard Space Flight Center for the use of the DONKI catalog.

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Additional details

Funding

National Aeronautics and Space Administration
80GSFC25CA035
Ministerio de Universidades
ESP2017-88436-R
Ministerio de Universidades
PID2019-104863RB-I00/AEI/10.13039/501100011033
Deutsches Zentrum für Luft- und Raumfahrt e. V. (DLR)
50OT0901
Deutsches Zentrum für Luft- und Raumfahrt e. V. (DLR)
50OT1202
Deutsches Zentrum für Luft- und Raumfahrt e. V. (DLR)
50OT1702
Deutsches Zentrum für Luft- und Raumfahrt e. V. (DLR)
50OT2002
National Aeronautics and Space Administration
80NSSC21K0733
National Aeronautics and Space Administration
80NSSC24K0908
National Aeronautics and Space Administration
80NSSC22K0993

Dates

Submitted
2025-09-02
Accepted
2025-11-24
Available
2026-01-14
Published online

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