Intermediate Neutron Resonance Absorption with Interference Scattering in Heterogeneous Systems

A new method for intermediate treatment of resonance absorption developed for homogeneous systems has been applied to heterogeneous systems. In the present method, the interference between potential and resonance scattering is taken into account. Also taken into account is the temperature dependence of the parameters used in the intermediate treatment. By making use of the Wigner type of simple rational approximation for the collision probability, heterogeneous systems are treated by means of the intermediate-resonance absorption, and an analytic expression is given for calculating the resonance integral. Discussions are given on the assumption of the spatially flat flux, from the intermediate resonance approach. Calculations of the resonance integral have been performed for typical resonances of 236U in square lattices of UO2 fuel rods and moderator. The results for the resonance integral obtained with the IR approximation are compared with the exact results. Comparisons are also made for the Doppler coe...

[1]  H. Takano,et al.  Temperature Dependence of Parameters Used in Intermediate Treatment of Resonance Absorption , 1969 .

[2]  J. Mégier.  Epithermal absorption in an isolated resonance , 1968 .

[3]  Y. Ishiguro.  On the Permissible Range for Parameter used in Inter- mediate-Resonance Treatment , 1968 .

[4]  H. Takano,et al.  INTERMEDIATE NEUTRON RESONANCE ABSORPTION IN HETEROGENEOUS SYSTEMS. , 1968 .

[5]  R. Goldstein.  Iteration and Intermediate Resonance Absorption , 1967 .

[6]  B. Sehgal,et al.  INTERMEDIATE RESONANCE ABSORPTION IN HETEROGENEOUS MEDIA , 1966 .

[7]  R. Goldstein.  INTERMEDIATE RESONANCE ABSORPTION AT LOW ENERGIES , 1965 .

[8]  J. G. Hill,et al.  IMPROVEMENTS TO THE THEORY OF RESONANCE ESCAPE IN HETEROGENEOUS FUEL. I. REGULAR ARRAYS OF FUEL RODS , 1965 .

[9]  H. Brooks,et al.  INTERMEDIATE RESONANCE ABSORPTION IN NONHOMOGENEOUS SYSTEMS , 1964 .

[10]  S. Iijima.  RESONANCE ABSORPTION AND THE RESONANCE DISADVANTAGE FACTOR , 1963 .

[11]  M. Levine,et al.  RESONANCE INTEGRAL CALCULATIONS FOR U$sup 238$ LATTICES , 1963 .

[12]  J. P. Pollard,et al.  Effect of Temperature Variation on “Intermediate-Resonance” Formulas , 1963 .

[13]  E. Richard Cohen,et al.  Theory of Resonance Absorption of Neutrons , 1962 .

[14]  G. I. Bell.  EFFECT OF INTERFERENCE BETWEEN RESONANCE AND POTENTIAL SCATTERING ON RESONANCE ABSORPTION , 1961 .

[15]  W. Rothenstein.  Collision Probabilities and Resonance Integrals for Lattices , 1960 .

[16]  J. Chernick,et al.  SOME REFINEMENTS IN THE CALCULATION OF RESONANCE INTEGRALS , 1958 .

[17]  E. Lewis,et al.  BOLTZMANN INTEGRAL EQUATION TREATMENT OF NEUTRON RESONANCE ABSORPTION IN REACTOR LATTICES. , 1968 .

[18]  Y. Ishiguro.  Exact Treatment of the Resonance Absorption of Neutrons of Intermediate Energy , 1968 .

[19]  A. Keane,et al.  Iterative Solution of the Neutron Slowing Down Equation , 1966 .

[20]  M. Dyos.  EFFECTIVE THERMAL-NEUTRON CROSS SECTIONS FOR MATERIALS WITH GRAIN STRUCTURE (ADDENDUM). , 1966 .

[21]  L. Dresner.  Resonance Absorption in Nuclear Reactors , 1960 .

[22]  K. M. Case,et al.  Introduction to the theory of neutron diffusion, v.1 , 1953 .