Abstract
We present a method for finding very general reflection asymmetric equilibrium (saddle-point) nuclear shapes, as solutions of an integro-differential equation, without giving a shape parametrization. By introducing phenomenological shell corrections one obtains minima of deformation energy for binary fission of parent nuclei 238U, 232, 228That a non-zero mass asymmetry, leading to the same mass number of the heavy fragment A1=125. Applications for fission into more than two and three fragments are also illustrated.
