Concavity for nuclear bindings

B. R. Barrett, B. G. Giraud, B. K. Jennings, N. P. Toberg

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Sequences of experimental ground-state energies for both odd and even A are mapped onto concave patterns cured from convexities due to pairing. These patterns yield improved estimates by interpolation or extrapolation (as appropriate) of ground-state energies for nuclei, which have not yet been measured. An example of this procedure, using the tin isotopes is given. The same patterns, completed by a list of excitation energies, give numerical estimates of thermodynamical functions, which lead to the average nucleon number (A) (β,μ) becoming a continuous variable at low to moderate temperatures, allowing extrapolations towards nuclear masses closer to drip lines. Estimates of the free energy and the average energy, as functions of (A), provide upper and lower bounds, respectively, to ground-state energy. Finally, we discuss extensions to a two-dimensional analysis and how concavity and universality are related to the theory of the nuclear density functional.

Original languageEnglish (US)
Title of host publicationProceedings of the 12th International Conference on Nuclear Reaction Mechanisms, NRM 2009
PublisherCERN
Pages267-272
Number of pages6
ISBN (Print)9789290833406
StatePublished - Jan 1 2010
Event2009 12th International Conference on Nuclear Reaction Mechanisms, NRM 2009 - Varenna, Italy
Duration: Jun 15 2009Jun 19 2009

Publication series

NameCERN-Proceedings
Volume1
ISSN (Print)2078-8835

Other

Other2009 12th International Conference on Nuclear Reaction Mechanisms, NRM 2009
CountryItaly
CityVarenna
Period6/15/096/19/09

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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  • Cite this

    Barrett, B. R., Giraud, B. G., Jennings, B. K., & Toberg, N. P. (2010). Concavity for nuclear bindings. In Proceedings of the 12th International Conference on Nuclear Reaction Mechanisms, NRM 2009 (pp. 267-272). (CERN-Proceedings; Vol. 1). CERN.