scholarly journals Analysis of Overlapping Resonances in Proton?Carbon Scattering

1963 ◽  
Vol 16 (3) ◽  
pp. 370 ◽  
Author(s):  
D Robson ◽  
W Toutenhoofd
Keyword(s):  
Elastic Scattering ◽  
Energy Range ◽  
Nuclear Reactions ◽  
Matrix Theory ◽  
Polarization Data ◽  
Excitation Functions ◽  
R Matrix ◽  
Close Fit

The R-matrix theory of nuclear reactions is discussed for the situation where distant levels must be included and is successfully applied to the elastic scattering of protons by l2C in the energy range ELAB = 10-11� 5 MeV, where the resonance levels are overlapping. Definite spin and parity assignments are made for three levels in this region by comparing the predicted excitation functions at several angles of scattering with experiment. Previously unexplained polarization data are explained by this analysis. The optical.model potential is found to be parity dependent for ELAB=8.5 MeV and yields a close fit to the available data at ELAB = 8�5 MeV.

scholarly journals Anthony Milner Lane. 27 July 1928—9 February 2011

2020 ◽  
Vol 68 ◽  
pp. 297-314
Author(s):  
Charles Clement
Keyword(s):  
Nuclear Physics ◽  
Collective Motion ◽  
Nuclear Reactions ◽  
Matrix Theory ◽  
Nuclear Data ◽  
Theoretical Physics ◽  
R Matrix ◽  
Good Account ◽  
Advanced Knowledge

Tony Lane came from humble beginnings to become one of the world's leading theoretical nuclear physicists. His career in the Theoretical Physics Division at the Atomic Energy Research Establishment (AERE) at Harwell was characterized by his outstanding successes in explaining experimental nuclear data. He pioneered the understanding of the important nucleon capture reactions by introducing new mechanisms of direct and semi-direct capture and, together with colleagues, he greatly advanced knowledge of nuclear analogue states, and the role of isospin in nuclear physics. With R. G. Thomas, he wrote a comprehensive review of R-matrix theory, applied to analyse resonances in nuclear reactions, which became one of the most cited papers in physics. His book Nuclear theory gave a good account of the use of pairing force theory in nuclear physics, and its application to nuclear collective motion.

scholarly journals Interference Between Levels in Nuclear Reactions

1967 ◽  
Vol 20 (3) ◽  
pp. 341 ◽  
Author(s):  
FC Barker
Keyword(s):  
Nuclear Reaction ◽  
Cross Section ◽  
Nuclear Reactions ◽  
Matrix Theory ◽  
R Matrix ◽  
Single Level ◽  
The Cross

In this note we consider the cross section for a nuclear reaction in which one of the product nuclei is unstable, with two or more levels contributing to its decay. Previously a formula had been derived from R-matrix theory for the case where contributions come from only a single level of the nucleus with a given spin and parity.

R-Matrix Theory of Nuclear Reactions

1958 ◽  
Vol 30 (2) ◽  
pp. 257-353 ◽  
Author(s):  
A. M. Lane ◽  
R. G. Thomas
Keyword(s):  
Nuclear Reactions ◽  
Matrix Theory ◽  
R Matrix

scholarly journals The Boundary Condition Parameter in R-Matrix Theory

1972 ◽  
Vol 25 (4) ◽  
pp. 341 ◽  
Author(s):  
FO Barker
Keyword(s):  
Boundary Condition ◽  
Finite Number ◽  
Cross Sections ◽  
Nuclear Reactions ◽  
Matrix Theory ◽  
R Matrix ◽  
The Cross

In the general R-matrix theory of nuclear reactions, all measurable quantities such as the cross sections scc' should be independent of the choice of the boundary condition parameters Bc although the values of the level parameters E? and ??c depend on the Bc. For applications involving only a finite number of levels ?, it is not obvious that this is still the case as completeness arguments can no longer be used. It is shown here that scc' can be made independent of the choice Bc of for any finite number of levels and any number of channels, and the resulting formulae giving the dependence of E? and ??c on Bc are derived. An application is made to the pair of 5/2- levels of 7Li near 7 MeV excitation.

scholarly journals Isospin Mixing in 4¯ States of 12C

1983 ◽  
Vol 36 (5) ◽  
pp. 649 ◽  
Author(s):  
FC Barker
Keyword(s):  
Shell Model ◽  
Cross Sections ◽  
Nuclear Reactions ◽  
Matrix Theory ◽  
Bound State ◽  
Model Calculations ◽  
R Matrix ◽  
Parameter Values

Fits are made to measured 12C(n�,no:)12C cross sections in terms of an isospin-mixed doublet of 4- 12C levels near 19�5 MeV, using the R-matrix theory of nuclear reactions. Parameter values are restricted by information from other reactions and from bound-state shell model calculations.

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