Slow Neutron Crystal Spectrometry: The Total Cross Sections of Co, Er, Hf,Ni58,Ni60, Ho, and Fission Sm

1952 ◽  
Vol 87 (3) ◽  
pp. 487-493 ◽  
Author(s):  
S. Bernstein ◽  
L. B. Borst ◽  
C. P. Stanford ◽  
T. E. Stephenson ◽  
J. B. Dial
1956 ◽  
Vol 34 (8) ◽  
pp. 804-829 ◽  
Author(s):  
T. D. Newton

Recent measurements of resonances in slow neutron total cross sections yield good estimates of the average level spacing, D, in medium and heavy nuclei. These spacings show large variations, by factors of 103 to 105, in the region of magic numbers of nucleons. There are also variations by smaller factors between nuclei with even and odd numbers of protons or neutrons. The even–odd effect is a co-operative phenomenon; it can be approximately treated by redefining the ground state to be used for a Fermi gas model. After this correction the gas model should predict D with reasonable accuracy since it is required only to define the density of a complete set of states. The magic number variations are shown to be fitted by an improved approximation to the single-nucleon level density. This is obtained from the observed sequence of single-particle spins and the assumption that the energy interval between spin subshells is constant. Fifty-two observed spacings are fitted by a two-parameter formula with an average uncertainty factor 3. Many of the larger remaining differences between observation and the predictions of the model are qualitatively explicable as expected departures from this uniform spacing hypothesis.


Author(s):  
S. Golladay

The theory of multiple scattering has been worked out by Groves and comparisons have been made between predicted and observed signals for thick specimens observed in a STEM under conditions where phase contrast effects are unimportant. Independent measurements of the collection efficiencies of the two STEM detectors, calculations of the ratio σe/σi = R, where σe, σi are the total cross sections for elastic and inelastic scattering respectively, and a model of the unknown mass distribution are needed for these comparisons. In this paper an extension of this work will be described which allows the determination of the required efficiencies, R, and the unknown mass distribution from the data without additional measurements or models. Essential to the analysis is the fact that in a STEM two or more signal measurements can be made simultaneously at each image point.


2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Roman N. Lee ◽  
Alexey A. Lyubyakin ◽  
Vyacheslav A. Stotsky

Abstract Using modern multiloop calculation methods, we derive the analytical expressions for the total cross sections of the processes e−γ →$$ {e}^{-}X\overline{X} $$ e − X X ¯ with X = μ, γ or e at arbitrary energies. For the first two processes our results are expressed via classical polylogarithms. The cross section of e−γ → e−e−e+ is represented as a one-fold integral of complete elliptic integral K and logarithms. Using our results, we calculate the threshold and high-energy asymptotics and compare them with available results.


2006 ◽  
Vol 39 (6) ◽  
pp. 1337-1344 ◽  
Author(s):  
J Beale ◽  
S Armitage ◽  
G Laricchia

1998 ◽  
Vol 130 (3) ◽  
pp. 340-347 ◽  
Author(s):  
S. M. Grimes ◽  
J. D. Anderson ◽  
R. W. Bauer ◽  
V. A. Madsen

1966 ◽  
Vol 85 (1) ◽  
pp. 129-141 ◽  
Author(s):  
D.F. Measday ◽  
J.N. Palmieri

1954 ◽  
Vol 96 (1) ◽  
pp. 115-120 ◽  
Author(s):  
Peter Hillman ◽  
R. H. Stahl ◽  
N. F. Ramsey

2009 ◽  
Vol 194 (4) ◽  
pp. 042038 ◽  
Author(s):  
K N Joshipura ◽  
Sumona Gangopadhyay ◽  
Harshit N Kothari ◽  
Foram A Shelat

2011 ◽  
Vol 85 (12) ◽  
pp. 1717-1720 ◽  
Author(s):  
K. C. Rao ◽  
K. G. Bhushan ◽  
R. Mukund ◽  
S. M. Rodrigues ◽  
S. K. Gupta ◽  
...  

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