Vertical flows and mass flux balance of sunspot umbral dots
T. L. Riethm\"uller, S. K. Solanki, M. van Noort, S. K. Tiwari

TL;DR
This study uses a new inversion technique to analyze sunspot umbral dots, revealing temperature increases, magnetic weakening, and mass flux balance through upflows and downflows in deep photospheric layers.
Contribution
It introduces a novel Stokes inversion method that minimizes telescope point spread effects, providing detailed depth-dependent properties of umbral dots.
Findings
Significant temperature enhancements in UD cores
Magnetic field weakenings in deep layers
Detection of systematic downflows balancing upflows
Abstract
A new Stokes inversion technique that greatly reduces the effect of the spatial point spread function of the telescope is used to constrain the physical properties of umbral dots (UDs). The depth-dependent inversion of the Stokes parameters from a sunspot umbra recorded with Hinode SOT/SP revealed significant temperature enhancements and magnetic field weakenings in the core of the UDs in deep photospheric layers. Additionally, we found upflows of around 960 m/s in peripheral UDs (i.e., UDs close to the penumbra) and 600 m/s in central UDs. For the first time, we also detected systematic downflows for distances larger than 200 km from the UD center that balance the upflowing mass flux. In the upper photosphere, we found almost no difference between the UDs and their diffuse umbral background.
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