The connection between the ”Strutinsky level density ” and the semiclassical level density.

The connection between the " Strutinsky level density " and the semiclassical level density. Abstract We establish an analytical link between the level density obtained by means of the Strutinsky averaging method, and the semiclassical level density. This link occurs only in the " asymptotic limit ". This latter is also the necessary condition of the " old " problem of the independence of the Strutinsky procedure on the two free parameters of the averaging. We shows that the (implicit) remainder of the Strutinsky method is an unavoidable " noise " of this averaging. We demonstrate thereby, why apart from the harmonic oscillator it is practically impossible in actual cases to look for a " perfect plateau ". Some of other features of the method are explained in this framework.