Determination of r Factor of Kalbach-Mann Systematics for Energy Balance

Kalbach-Mann systematics is a very useful formula to discrete thedouble-differential cross sections of emitted particles. However,the energy balance by using this systematics is still a task to bestudied. In the form of Legendre polynomial expansion the energybalance has been proved analytically. In terms of this approach,the formula to determine the pre-equilibrium fraction r factorof Kalbach-Mann systematics has been obtained for keeping energybalance strictly. This formula could be straightforwardly appliedfor describing the double-differential cross sections of all projectile types in the continuum spectrum emissions. It indicates that Legendre expansion coefficient with l=1 is the key term in the energy balance.