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A New static and dynamic one-point equation and analytic and numerical calculations for a subcritical system

Nishihara, Kenji  ; Iwasaki, Tomohiko*; Udagawa, Yutaka*

A new one-point equation is derived according to the balance of the fission neutrons. The equation has the same form as the conventional equation containing keff. The variables of the equation are the number of the fission neutrons and the delayed neutron precursors, and the coefficients are the multiplication factors of a prompt fission neutron, a delayed neutron and a source neutron. In the equation derived here, all variables and coefficients have each clear physical meaning. Analytic, deterministic and probabilistic calculations of the equation are performed for an accelerator-driven system.



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Category:Nuclear Science & Technology



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