  Previously, a class of regular and asymptotically flat gravitating scalar
solitons (scalarons) has been constructed in the Einstein--Klein--Gordon (EKG)
theory by adopting a phantom field with Higgs-like potential where the kinetic
term has the wrong sign and the scalaron possesses the negative
Arnowitt--Deser--Misner (ADM) mass as a consequence. In this paper, we
demonstrate that the use of the phantom field can be avoided by inverting the
Higgs-like potential in the EKG system when the kinetic term has a proper sign,
such that the corresponding gravitating scalaron can possess the positive ADM
mass. We systematically study the basic properties of the gravitating scalaron,
such as the ADM mass, the energy conditions, the geodesics of test particles,
etc. Moreover, we find that it can be smoothly connected to the counterpart
hairy black hole solutions from our recent work in the small horizon limit.
