  We investigate the self-bound states of dipolar Dy condensates with the
Gaussian-state ansatz which improves the conventional coherent-state ansatz
with multimode squeezed coherent states. We show that the self-bound states
consist of the experimentally observed self-bound liquid phase and the
unobserved self-bound gas phase. The numerically obtained gas-liquid boundary
is in good agreement with experimental data. Our theory also allows one to
extract the real part of the three-body coupling constant of the Dy atoms from
the particle number distribution of the condensates. In particular, we results
show that the self-bound states are stabilized by the short-range three-body
repulsion. Our study shed a different light to understand the self-bound
droplets of Bose-Einstein condensates.
