Calculating the effective delayed neutron fraction with Monte Carlo

摘要

New Monte Carlo estimators of the effective delayed neutron fraction beta(eff) are presented in this paper. By looking at the physical interpretation of the adjoint function, one can incorporate its effect on the delayed neutron fraction without explicitly calculating the adjoint function itself. We have implemented these estimators into MCNP. In a standard k(eff) calculation, the code now reports a beta(eff) value. The method does not slow down the code by more than 0.5%. We propose an extensive experimental benchmark set for beta(eff), which we use to test our method and two known approximate methods. Our method reproduces all experimental values.