The statistical analysis of γ-ray angular correlation experiments

作者: A.N. James , P.J. Twin , P.A. Butler

DOI: 10.1016/0029-554X(74)90433-9

关键词: Angular correlationRegression analysisStatistical physicsLinear least squaresSpin-½Statistical analysisPhysicsValue (computer science)

摘要: Abstract The statistical analysis of γ-ray angular correlation experiments is discussed with the emphasis on where reaction mechanism does not lead to exactly known alignment. If a model producing alignment made then it can be used estimate most probable value and confidence in that prediction. inclusion such estimates described. A procedure for including many types relevant data into Particular given general technique estimating error quote association mixing ratio measurement. cautious recipe suggested which follows procedures linear least squares regression analysis.

参考文章(8)
A. J. Ferguson, G. K. Wertheim, Angular Correlation Methods in Gamma-Ray Spectroscopy Physics Today. ,vol. 19, pp. 94- 94 ,(1966) , 10.1063/1.3048483
Raymond T. Birge, The Calculation of Errors by the Method of Least Squares Physical Review. ,vol. 40, pp. 207- 227 ,(1932) , 10.1103/PHYSREV.40.207
Norman Richard Draper, Harry Smith, Applied Regression Analysis ,(1966)
D. Cline, P.M.S. Lesser, Error estimation in non-linear least squares analysis of data Nuclear Instruments and Methods. ,vol. 82, pp. 291- 293 ,(1970) , 10.1016/0029-554X(70)90366-6
ERIC SHELDON, DOUGLAS M. VAN PATTER, Compound Inelastic Nucleon and Gamma-Ray Angular Distributions for Even- and Odd-Mass Nuclei Reviews of Modern Physics. ,vol. 38, pp. 143- 186 ,(1966) , 10.1103/REVMODPHYS.38.143
P.J. Twin, Inherent ambiguities in gamma ray angular correlation experiments Nuclear Instruments and Methods. ,vol. 106, pp. 481- 492 ,(1973) , 10.1016/0029-554X(73)90311-X
H. J. ROSE, D. M. BRINK, ANGULAR DISTRIBUTIONS OF GAMMA RAYS IN TERMS OF PHASE-DEFINED REDUCED MATRIX ELEMENTS. Reviews of Modern Physics. ,vol. 39, pp. 306- 347 ,(1967) , 10.1103/REVMODPHYS.39.306
P.A. Butler, P.E. Carr, L.L. Gadeken, A.N. James, P.J. Nolan, J.F. Sharpey-Schafer, P.J. Twin, D.A. Viggars, Construction and use of a three Ge(Li) Compton polarimeter Nuclear Instruments and Methods. ,vol. 108, pp. 497- 502 ,(1973) , 10.1016/0029-554X(73)90530-2