The problem of heavy-ion beam energy conversion into the plasma self-radiation of the spherical target is considered by using the radiative conductivity approximation. It is shown that there is a single parameter γ which determines the spherical ‘corona’ structure and has the meaning of the ratio: the ion range/the effective heat range. The conversion coefficient increases with the increase in the parameter γ and becomes ∼ 1, when γ ≃ 102. Typical beam and target parameters of modern HIF designs correspond to γ ≃ 10 and conversion coefficients >50%. Thus, at quasistationary stage of the ‘corona’ expansion the target acceleration and implosion regime is basically the radiative one.