  We obtain the phase diagram for a harmonically trapped dilute dipolar
condensate with a short ranged conservative three-body interaction. We show
that this system supports two distinct fluid states: a usual condensate state
and a self-cohering droplet state. We develop a simple model to quantify the
energetics of these states, which we verify with full numerical calculations.
Based on our simple model we develop a phase diagram showing that there is a
first order phase transition between the states. Using dynamical simulations we
explore the phase transition dynamics, revealing that the droplet crystal
observed in previous work is an excited state that arises from heating as the
system crosses the phase transition. Utilising our phase diagram we show it is
feasible to produce a single droplet by dynamically adjusting the confining
potential.
