Summary
An earlier calculation of the level density of a degenerate Fermi system of particles has been generalized by removing theg-fold degeneracy of an independent-particle level in the form of a uniformly spaced cluster of single-particle levels. The result is still very simple and serves to illustrate that gaps, partially filled shells in the ground state, and other distinctive features of the single-particle spectrum in our schematic model, produce effects in the level density formula which are represented as additive corrections to the excitation energy. No attempt has been made to fit actual nuclear data.
Riassunto
Si è generalizzato un calcolo precedente della densità di livelli di un sistema degenere di fermioni eliminando la degenerazioneg-pla di un livello di particelle indipendenti sotto forma di un ammasso uniformemente distanziato di livelli di particella singola. Il risultato è ancora molto semplice e serve ad illustrare che lacune, stratiparzialmente riempiti nello stato fondamentale ed altre proprietà distintive dello spettro di particella singola nel nostro modello schematico, producono nella formula della densità di livelli effetti che si rappresentano come correzioni aggiuntive all’energia di eccitazione. Non si è fatto alcun tentativo di approssimarsi ai dati nucleari effettiri.
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References
N. Rosenzweig:Phys. Rev.,108, 817 (1957).
N. Rosenzweig, L. M. Bollinger, L. L. Lee andJ. P. Schiffer:Proceedings of the Second International Conference on the Peaceful Uses of Atomic Energy (Geneva, 1958).
H. W. Newson andJ. H. Gibbon: inFast Neutron Physics, Part II (New York, 1963).
M. Blann andG. Merkel:Nucl. Phys.,52, 673 (1964).
A. Chatterjee:Phys. Rev.,134, B 374 (1964);Nucl. Phys.,60, 273 (1964).
W. M. Good: private communication.
W. J. Swiatecki:Proc. of the Second International Conference on Nuclidic Masses 1963 (Vienna, 1964).
For example,T. Ericson:Phil. Mag. Suppl.,9, 425 (1960), Sect. 3.1.
For example,C. Bloch:Phys. Rev.,93, 1094 (1954).
K. Husimi:Proc. Phys. Math. Soc. Japan,20, 912 (1938). When I reported the work in ref. (1), I was unfortunately unaware of Prof. Husimi’s work.
C. van Lier andG. E. Uhlenbeck:Physica,4, 531 (1937).
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Research supported by the Weizmann Memorial Foundation and by the U. S. Atomic Energy Commission. A preliminary account of this work was presented at the International Conference on the Study of Nuclear Structure with Neutons, Antwerp, July 19 to July 23, 1965.
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Rosenzweig, N. Shell structure effects in the level density of a fermi system. Nuovo Cimento B (1965-1970) 43, 227–235 (1966). https://doi.org/10.1007/BF02710848
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DOI: https://doi.org/10.1007/BF02710848