  In the present work we revisit the problem of the quantum droplet in atomic
Bose-Einstein condensates with an eye towards describing its ground state in
the large density, so-called Thomas-Fermi limit. We consider the problem as
being separable into 3 distinct regions: an inner one, where the Thomas-Fermi
approximation is valid, a sharp transition region where the density abruptly
drops towards the (vanishing) background value and an outer region which
asymptotes to the background value. We analyze the spatial extent of each of
these regions, and develop a systematic effective description of the rapid
intermediate transition region. Accordingly, we derive a uniformly valid
description of the ground state that is found to very accurately match our
numerical computations. As an additional application of our considerations, we
show that this formulation allows for an analytical approximation of excited
states such as the (trapped) dark soliton in the large density limit.
