Discontinuities in the Nuclear Mass Surface

Alex E. S. Green; David F. Edwards

doi:10.1103/PhysRev.91.46

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Discontinuities in the Nuclear Mass Surface

Alex E. S. Green^* and David F. Edwards

Department of Physics, University of Cincinnati, Cincinnati, Ohio

^*Now at the Department of Physics, Florida State University, Tallahassee, Florida.

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Phys. Rev. 91, 46 – Published 1 July, 1953

DOI: https://doi.org/10.1103/PhysRev.91.46

Abstract

Proton and neutron binding energies are analyzed in such a way as to permit an approximate assessment of the effects associated with pairing and shell structure. We draw several interesting conclusions with respect to the accuracy of various theoretical expressions which have been proposed for the pairing effect. Our analysis of the data and considerations of an atomic model lead us to a simple approximate representation of a shell stabilizing correction to nuclear energies. This shell structure term accounts rather well for the observed departures from the general trends of beta-stability, nuclear masses, and nuclear $Q$ values. Our shell correction suggests that much larger systematic variations in nuclear masses may be identified with shell structure effects than might previously have been suspected.

References (14)

A. E. S. Green and N. A. Engler, preceding paper [Phys. Rev. 91, 40 (1953)]
A. E. S. GreenN. A. EnglerNuclear Data, National Bureau of Standards, Circular 499 (U. S. Government Printing Office, Washington, D. C., 1950)
C. D. Coryell and H. E. Suess, Phys. Rev. 86, 609 (1952)
S. Glasstone, Source Book on Atomic Energy (D. Van Nostrand Company, Inc., New York, 1950) J. W. Blatt and V. F. Weisskopf in Theoretical Nuclear Physics (John Wiley and Sons, Inc., New York, 1952)
E. Fermi (unpublished)
A. E. S. Green, Phys. Rev. 86, 654 (1952)
M. G. Mayer, Phys. Rev. 78, 22 (1950)
P. F. A. Klinkenberg, Revs. Modern Phys. 24, 63 (1952)
C. D. Coryell Annual Reviews of Nuclear Science (Annual Reviews, Inc., Stanford, 1953), Vol. II
H. E. White, Introduction to Atomic Spectra (McGraw-Hill Book Company, Inc., New York, 1934)
A. H. Wapstra, Physica 18, 83 (1952) Coryell ([9])
Sher, Halpern, and Mann, Phys. Rev. 84, 387 (1951)
Perlman, Ghiorso, and Seaborg, Phys. Rev. 77, 26 (1950)
K. Way and M. Wood, Phys. Rev. 86, 608 (1952)

[c1] A. E. S. Green and N. A. Engler, preceding paper [Phys. Rev. 91, 40 (1953)]

[c2] A. E. S. GreenN. A. EnglerNuclear Data, National Bureau of Standards, Circular 499 (U. S. Government Printing Office, Washington, D. C., 1950)

[c3] C. D. Coryell and H. E. Suess, Phys. Rev. 86, 609 (1952)

[c4] S. Glasstone, Source Book on Atomic Energy (D. Van Nostrand Company, Inc., New York, 1950) J. W. Blatt and V. F. Weisskopf in Theoretical Nuclear Physics (John Wiley and Sons, Inc., New York, 1952)

[c5] E. Fermi (unpublished)

[c6] A. E. S. Green, Phys. Rev. 86, 654 (1952)

[c7] M. G. Mayer, Phys. Rev. 78, 22 (1950)

[c8] P. F. A. Klinkenberg, Revs. Modern Phys. 24, 63 (1952)

[c9] C. D. Coryell Annual Reviews of Nuclear Science (Annual Reviews, Inc., Stanford, 1953), Vol. II

[c10] H. E. White, Introduction to Atomic Spectra (McGraw-Hill Book Company, Inc., New York, 1934)

[c11] A. H. Wapstra, Physica 18, 83 (1952) Coryell ([9])

[c12] Sher, Halpern, and Mann, Phys. Rev. 84, 387 (1951)

[c13] Perlman, Ghiorso, and Seaborg, Phys. Rev. 77, 26 (1950)

[c14] K. Way and M. Wood, Phys. Rev. 86, 608 (1952)

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Discontinuities in the Nuclear Mass Surface

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