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