Abstract
It has been previously shown1)that an expression for the binding energies of nuclei with the structure of the semiempirical Bethe-Weizsäcker mass formula can be derived from a shell model with residual interactions. Pending quantitive agreement -which is the subject of this paper -this approach provides a microscopial foundation for the exceptionally good semi-empirical mass formula. To our knowledge, this constitutes the first verification of the commonly accepted, but otherwise unproven, statement that the liquid drop mass formula should emerge from a suitably averaged shell model, this being the basic assumption in the mass formulae constructed by using the liquid drop expression as a base line to which shell corrections are added.
Work supported by the Instituto Nacional de Energía Nuclear, México
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bauer, M. and Canuto, V., Ark f. Fys. 37, 393 (1967)
Belyaev, S. T., Mat. Fys. Meeld. Dan Vid. Selsk. 31, No. 11 (1959)
Frahn, W. E. and Lemmer, R. H., Nuovo Cimento 6, 1221 (1957)
Nils son, S. G., et al., Nuc. Phys. A131, 1, (1969)
Ko, C. M., Pauli, H. C., Brack, M. and Brown, G. E., Nuc. Phys. A236, 269 (1974)
Perey, C. M. and Perey, F. C., Nuc. Data Tables 10, 539 (1972)
Dover, C. B. and Nguyen Van Giai, Nuc. Phys. A190, 373 (1972)
Jeukenne, J. P., Lejeune, A. and Mahaux, C., Phys. Rev. C10, 1391 (1974)
Vautherin, D. and Brink, D. M., Phys. Rev. C5, 626 (1972)
Evans, R. C., “The Atomic Nucleus”, Ed. McGraw Hill (1955) p. 393
Bassichis, W. H., Kerman, A. K. and Tuerpe, D. R., Phys. Rev. C8, 2140 (1973)
Perey, F. C., Phys. Rev. 131, 745 (1963)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1976 Springer Science+Business Media New York
About this chapter
Cite this chapter
Bauer, M. (1976). The Liquid Drop Mass Formula as a Shell Model Average. In: Sanders, J.H., Wapstra, A.H. (eds) Atomic Masses and Fundamental Constants 5. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-2682-3_41
Download citation
DOI: https://doi.org/10.1007/978-1-4684-2682-3_41
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4684-2684-7
Online ISBN: 978-1-4684-2682-3
eBook Packages: Springer Book Archive