Potential-density pairs for galaxy discs with exponential or sech$^2$ vertical profile

TL;DR

This paper introduces new analytical models for galaxy discs that incorporate realistic vertical density profiles, including exponential and sech$^2$ shapes, offering improved flexibility for astrophysical simulations.

Contribution

The authors develop axially symmetric potential-density pairs with vertical structures resembling exponential and sech$^2$ profiles, enhancing modeling options for galaxy discs.

Findings

Models closely approximate realistic vertical density profiles.

Flexible core width in cored exponential profiles.

Potential-density pairs suitable for galaxy simulations.

Abstract

We present axially symmetric analytical potential-density pairs with surface density similar to the Miyamoto-Nagai model, but with more realistic vertical structure. Our models closely approximate an exponential, a sech$^2$, or a cored exponential vertical density profile. The latter profile has a density core of adjustable width, which provides more flexibility when modelling galaxy discs.