  Following Okawa, we insert operators at the boundary of regulated star
algebra projectors to construct the leading order tachyon vacuum solution of
open string field theory. We also calculate the energy density of the solution
and the ratio between the kinetic and the cubic terms. A universal relationship
between these two quantities is found. We show that for any twist invariant
projector, the energy density can account for at most 68.46% of the D25-brane
tension. The general results are then applied to regulated slivers and
butterflies, and the next-to-leading order solution for regulated sliver states
is constructed.
