Characterizing the Umbral Magnetic Knots of $\delta$-Sunspots

TL;DR

This study introduces the degree of delta (Doδ) to quantify magnetic flux participation in delta sunspots, revealing their dynamic properties, formation mechanisms, and strong association with flare activity.

Contribution

The paper presents a new metric, Doδ, to analyze delta sunspot magnetic knots, providing insights into their formation, dynamics, and relation to flare energy, based on extensive observational data.

Findings

Delta regions are active as delta-spots 55% of the time with high flux participation.

Delta-spots exhibit significantly higher flux, emergence rate, rotation, and flare energy than beta-spots.

Most delta-spots are formed by single flux emergence events and show diverse formation mechanisms.

Abstract

Delta ($\delta$)-spots are active regions (ARs) in which positive and negative umbrae share a penumbra. They are known to be the source of strong flares. We introduce a new quantity, the degree of $\delta$ (Do$\delta$), to measure the fraction of umbral flux participating in the $\delta$-configuration and to isolate the dynamics of the magnetic knot, i.e. adjacent umbrae in the $\delta$-configuration. Using Helioseismic and Magnetic Imager data, we analyze 19 $\delta$-spots and 11 $\beta$-spots in detail, and 120 $\delta$-spots in less detail. We find that $\delta$-regions are not in a $\delta$-configuration for the entire time but spend 55$\%$ of their observed time as $\delta$-spots with an average, maximum Do$\delta$ of 72$\%$. Compared to $\beta$-spots, $\delta$-spots have 2.6$\times$ the maximum umbral flux, 1.9$\times$ the flux emergence rate, 2.6$\times$ the rotation, and 72$\times$ the flare energy. On average, the magnetic knots rotate 17$^{\circ}$ day$^{-1}$ while the $\beta$-spots rotate 2$^{\circ}$ day$^{-1}$. Approximately 72$\%$ of the magnetic knots present anti-Hale or anti-Joy tilts, contrasting starkly with only 9$\%$ of the $\beta$-spots. A positive correlation exists between $\phi_{Do\delta}$ and the flare energy emitted by that region. The $\delta$-spots obey the hemispheric current helicity rule 64$\%$ of the time. 84$\%$ of the $\delta$-spots are formed by single flux emergence events and 58$\%$ have a quadrupolar magnetic configuration. The $\delta$-spot characteristics are consistent with the formation mechanism signatures as follows: 42$\%$ with the kink instability or Sigma effect, 32$\%$ with multi-segment buoyancy, 16$\%$ with collisions and two active regions that are unclassified but consistent with a rising O-ring.