Abstract
An algorithm to extract the multiplicity and the higher moments of a multiplicity distribution from the measured counting rates of multiple coincidences is described. In the statistical averaging process a direct transformation to the central moments is performed which results in a well converging procedure to obtain the moments. Important aspects of error analysis and of numerics are outlined. The generality of the formalism allows applications beyond nuclear physics. Guidelines for optimizing an experimental set-up are given.
Similar content being viewed by others
References
Hagemann, G.B., Broda, R., Herskind, B., Ishihara, M., Ogaza, S., Ryde, H.: Nucl. Phys. A245, 166 (1975)
Bock, R., Fischer, B., Gobbi, A., Hildenbrand, K., Kohl, W., Lynen, U., Rode, I., Stelzer, H., Auger, G., Galin, J., Lagrange, J.M., Albrecht, R., Back, B.B.: Nukleonika 1977
Gosset, J., Gutbrod, H.H., Meyer, W.G., Postkanzer, A.M., Sandoval, A., Stock, R., Westfall, G.D.: Phys. Rev. C16, 629 (1977)
Theobald, J.P., Wartena, J.A., Kolar, W.: EUR report 4829e, 3 (1972)
Sarantites, D.G., Barker, J.H., Halbert, M.L., Hensley, D.C., Dayras, R.A., Eichler, E., Johnson, N.R., Gronemeyer, S.A.: Phys. Rev. C14, 2138 (1976)
Abramowitz, M., Segun, I.A.: Handbook of Mathematical Functions, New York: Dover publications, INC.
Kolb, D.: Applied Math. & Comput.2, 257 (1976)
Kolb, D.: in preparation
James, F., Roos, M.: Computer Physics Communications10, 343 (1975)
Brand, S.: Statistische Methoden der Datenanalyse, B.I. 816/816a (1968)
Eadie, W.T., Drijard, D., James, F.E., Roos, M., Sadoulet, B.: Statistical Methods in Experimental Physics, Amsterdam: North-Holland 1971
Edberg, E.: Matrix Computation, CERN report 76-22
Ockels, J.: KVI Groningen, private communication
Computer programm “PAOLA”, available at GSI
Kohl, W.: Thesis, Heidelberg 1978
van der Werf, NBI Copenhagen, to be published
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Kohl, W., Kolb, D. & Giese, I. An algorithm for the analysis of multiplicity measurements. Z Physik A 285, 17–26 (1978). https://doi.org/10.1007/BF01410217
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01410217