  We consider the focusing mass supercritical semilinear Schr\"{o}dinger
equation with a repulsive Dirac delta potential on the real line (deltaNLS).
Our aim in the present paper is to find a necessary and sufficient condition on
the data below the standing wave of NLS without a potential to determine the
global behavior of the solution. Moreover, we determine the global dynamics of
the radial solution whose mass-energy is larger than that of the standing wave
and smaller than that of the standing wave of deltaNLS.
