The Fermi bubbles as a Superbubble

TL;DR

This paper models the Fermi bubbles using superbubble theory, introducing a new momentum conservation model and deriving analytical laws for their expansion and image formation, comparing with observations.

Contribution

It presents a novel momentum conservation model for superbubbles and analytical formulas for Fermi bubbles' expansion and appearance.

Findings

Derived an analytical law for SB expansion over time and angle.

Compared models with observed Fermi bubbles, validating the approach.

Introduced an elliptical framework for image formation of Fermi bubbles.

Abstract

In order to model the Fermi bubbles we apply the theory of the superbubble (SB). A thermal model and a self-gravitating model are reviewed. We introduce a third model based on the momentum conservation of a thin layer which propagates in a medium with an inverse square dependence for the density. A comparison have been made between the sections of the three models and the section of an observed map of the Fermi bubbles. An analytical law for the SB expansion as function of the time and polar angle is deduced. We derive a new analytical result for the image formation of the Fermi bubbles in an elliptical framework.