THEORY OF RESONANCE ABSORPTION OF NEUTRONS IN A LUMP

Technical Report · Mon Jun 01 00:00:00 EDT 1959

DOI:https://doi.org/10.2172/4239690· OSTI ID:4239690

Hasegawa, K.

A new integral equation governing the slowing down of neutrons in a lump, assuming a spatially uniform neutron flux inside it, is derived. In the first approximation the equation is solved using the asymptotic energy dependence of the neutron flux and a new resonance integral formula is proposed. In the limit of both thc narrow resonance and the wide resonance, the formula tends to be equal lo that derived in the conventional narrow and wide resonance approximations. In the second approximation the cffeets of the deviation of the Placzek function from its asymptotic form is calculated by a method similar to that used by Weinberg and Wigner for homogeneous systems. It is shown that the resonance integrals of ihe usual narrow and wide resonance approximations become equal for a certain value of Tsub n//T, irrespective of theof resonance width. Some numerical results are given. (auth)

• Research Organization: Oak Ridge National Lab., Tenn.
• Sponsoring Organization: USDOE National Nuclear Security Administration (NNSA), Nuclear Criticality Safety Program (NCSP)
• DOE Contract Number: W-7405-ENG-26
• NSA Number: NSA-13-015559
• OSTI ID: 4239690
• Report Number(s): ORNL-2705
• Country of Publication: United States
• Language: English

Related Subjects

ABSORPTION
DIFFERENTIAL EQUATIONS
Existing record identified as Nuclear Criticality Safety Program (NCSP) record. JF (IS Team)
NEUTRON FLUX
NEUTRONS
NUMERICALS
PHYSICS AND MATHEMATICS
RESONANCE
RESONANCE ESCAPE PROBABILITY
RESONANCE NEUTRONS
SLOWDOWN
TRANSPORT THEORY