Reconnection fluxes in eruptive and confined flares and implications for superflares on the Sun
Johannes Tschernitz, Astrid M. Veronig, Julia K. Thalmann, J\"urgen, Hinterreiter, Werner P\"otzi

TL;DR
This study analyzes magnetic reconnection fluxes in 51 solar flares to understand their energy release and potential maximum sizes, indicating the Sun could produce much larger flares than observed.
Contribution
It provides new estimates of maximum possible solar flare energies based on reconnection flux measurements and active region magnetic flux limits.
Findings
Reconnection flux correlates strongly with soft X-ray peak flux (r=0.92).
Confined flares have smaller ribbon areas but higher flux densities.
The Sun could produce flares up to X500 class, far exceeding observed events.
Abstract
We study the energy release process of a set of 51 flares (32 confined, 19 eruptive) ranging from GOES class B3 to X17. We use H filtergrams from Kanzelh\"ohe Observatory together with SDO HMI and SOHO MDI magnetograms to derive magnetic reconnection fluxes and rates. The flare reconnection flux is strongly correlated with the peak of the GOES 1-8 \AA\ soft X-ray flux (c=0.92, in log-log space), both for confined and eruptive flares. Confined flares of a certain GOES class exhibit smaller ribbon areas but larger magnetic flux densities in the flare ribbons (by a factor of 2). In the largest events, up to 50\%\ of the magnetic flux of the active region (AR) causing the flare is involved in the flare magnetic reconnection. These findings allow us to extrapolate toward the largest solar flares possible. A complex solar AR hosting a magnetic flux of $2\cdot 10^{23}\,…
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