On the Self Similar Energy Gain Scaling in Isobaric Approach of ICF Targets.

In this paper we start with meyer-ter-vehn isobaric fusion model and try to reconstruct all equations by introducing a dimensionless variable (psi)i=ri/rm. then we investigate the proper sets of spark confinement parameter and temperature {hs,ts} which satisfy ignition conditions of spark ignition in deuterium-tritium (dt) equimolar mixture in terms of isentrope parameter,(alpha), implosion velocity, uim. finally, limiting fuel energy gain curve (gf*) as function of ignition energy (eign) for different implosion velocities is calculated. by this simple modification of our original formulation, we obtain fuel energy scaling as ef (propotional to)(alpha)^3 uim^-10 for desirable range of ignition parameters. since in our formulation hsts product has appeared, it enabled us to insert a scaling relation for ignition condition in fuel energy, ef which this in turn decreases implosion velocity exponent in our scaling relation to 7.0.