A few, such as Acacia dealbata and Acacia melanoxylon, ... It is normally a shrub, attaining a height of 8 to 12 feet tall, though it may be pruned to be a small tree.

I have grown Acacia dealbata in London (Shepherds Bush ), in Berkshire, near Reading, and in the West Country. But although I planted a tree here, ... and the tree is high and handsome.

Heidi Hirsch, David M. Richardson, Aníbal Pauchard, Johannes J. Le Roux, Genetic analyses reveal complex introduction histories for the invasive tree Acacia dealbata Link around the world, Diversity ...

The mimosa you have is most likely to be Acacia dealbata, ... they clearly like your soil conditions. They do not sting, however, and do valuable work pollinating fruit trees and other plants.