Shell corrections to the semiempirical formulae for nuclear masses and mean square radii
The corrections to the semiempirical (liquid drop) values of the binding energy deltaE and the mean square radius delta are calculated for heavy spherical nuclei. The corrections are caused by the nuclear shell structure. The strong nucleon interaction is included consistently in the calculation. The accuracy of the calculations, based on the shell-correction method, is studied in detail. The dependence of the results on the parameters employed is investigated. The resulting deltaE and delta values are compared with the experimental data. The calculations are performed for nuclei in vicinity of /sup 208/Pb and for nuclei with 110< or =Z< or =120 and 174< or =N< or =188 (super-heavy nuclei). Based on our analysis, one does not expect a doubly magic nucleus, similar to /sup 208/Pb, at such large values of Z and N. For these nuclei the shell correction is almost constant, deltaE=-8--10 MeV, when they are treated as spherical nuclei. This result, perhaps, suggests an enhanced stability of a large number of such nuclei. The half lives for ..cap alpha..-decay of such nuclei are estimated.
- Research Organization:
- Joint Institute for Nuclear Research
- OSTI ID:
- 6281650
- Journal Information:
- Sov. J. Nucl. Phys. (Engl. Transl.); (United States), Vol. 28:1
- Country of Publication:
- United States
- Language:
- English
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HEAVY NUCLEI
ALPHA DECAY
NUCLEAR RADII
SHELL MODELS
CORRECTIONS
STRUTINSKY THEORY
DECAY
MATHEMATICAL MODELS
NUCLEAR MODELS
NUCLEAR PROPERTIES
NUCLEI
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