# Polarity inversion line helicities and solar eruptivity

Source: [Polarity inversion line helicities and solar eruptivity](<https://www.sota2.com/research/paper/68fa4bf91e209131ce949bf3>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T08:35:04.349Z

Authors: K. Moraitis, J.K. Thalmann

Published: 2025-09-24T08:11:16.000Z

## Abstract

This work examines the relationship between solar eruptivity and the relative helicity that is contained around the polarity inversion line (PIL) of the magnetic field, along with its current-carrying component. To this end, we analyze the evolution of the PIL helicities in a sample of $\\sim 40$ solar active regions which exhibited more than 200 flares of class M or higher. The computation of the PIL helicities is accomplished with the help of relative field line helicity, the recently-developed proxy for the density of relative helicity, following the extrapolation of the 3D coronal magnetic field with a nonlinear force-free method. We find that, on average, the relative helicity of the PIL decreases significantly, by more than $10\\%$, during stronger eruptive flares (M5.0 class and above), while smaller changes are observed for confined and/or weaker flares. The PIL current-carrying helicity shows higher-magnitude decreases in both strong and weak flares, reaching $20\\%$ average changes during the stronger eruptive flares. Notably, the PIL current-carrying helicity displays the most pronounced distinction between eruptive and confined flares, indicating its strong potential as a diagnostic of solar eruptivity. We discuss the implications of these findings for solar flare forecasting.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2509.19864>)

[PDF](<https://arxiv.org/pdf/2509.19864.pdf>)
