Statistical properties of spectra

FEB 01, 1963

C. E. Porter

The purpose of this paper is to present a rapid survey of the statistical properties of spectra, using both atomic spectral data and nuclear spectral data. In many cases, only one kind of relevant data exists; for example, very little is known about atomic‐particle transition‐probability data, so in such areas we must confine our attention to nuclear data. When both atomic and nuclear data are available, we have tried to select those data which are usually not treated according to the general approach of this paper. Throughout our discussion, then, we will be mainly emphasizing analogies and the manner of handling different sorts of data according to the spirit of this paper.

References

1. T. Ericson, Phil. Mag. Suppl. 9, 425 (1960).
2. Th. A. M. van Kleef, Proc. K. Ned. Akad. Wetensch. 63, 501–548 (1960).
3. Campbell, Feshbach, Porter, and Weisskopf, Technical Report No. 73 Massachusetts Institute of Technology Laboratory for Nuclear Science and Engineering, Feb. 8, 1960 (unpublished).
4. Chase, Wilets, and Edmonds, Phys. Rev. 110, 1080 (1958).https://doi.org/PHRVAO
5. T. K. Kreuger and B. Margolis, Nuc. Phys. 28, 578 (1962).
6. F. Perey and B. Buck, Nuc. Phys. 32, 353 (1962).
7. J. A. Harvey and D. J. Hughes, Phys. Rev. 109, 471 (1958).https://doi.org/PHRVAO
8. Chrien, Bolotin, and Palevsky, Phys. Rev. (in press).
9. M. Namiki, Prog. Theor. Phys. (Japan) 22, 843 (1959);
M. Namiki, 23, 629 (1960).
10. Work carried out in collaboration with M. Goldberg.
11. J. H. D. Jensen and J. M. Luttinger, Phys. Rev. 86, 907 (1952).https://doi.org/PHRVAO
12. M. L. Mehta, Nuc. Phys. 18, 395 (1960);
M. L. Mehta and M. Gaudin, Nuc. Phys. 18, 420 (1960);
M. L. Mehta and M. Gaudin, 22, 340 (1960);
M. Gaudin, Nuc. Phys. 25, 447 (1960).
13. F. J. Dyson, J. Math. Phys. 3, 140–175 (1962).
14. N. Rosenzweig, Bull. Am. Phys. Soc. 7, 91 (1962).https://doi.org/BAPSA6
15. Charlotte E. Moore, Atomic Energy Levels; NBS Circular 467, Washington, D.C.; Vol. I., June 15, 1949;
Vol. II., Aug. 15, 1952;
Vol. III., May 1, 1958.
16. C. E. Porter, Bull. Am. Phys. Soc. 29, 25 (1954).https://doi.org/BAPSA6
17. A. A. Abrahamson, Phys. Rev. 123, 538 (1961).https://doi.org/PHRVAO
18. C. H. Corliss and W. R. Bozman, Experimental Transition Probabilities for Spectral Lines of Seventy Elements; National Bureau of Standards Monograph 53, Washington, D.C.; July 20, 1962.

More about the Authors

C. E. Porter. Brookhaven National Laboratory.