TY - GEN
T1 - Concavity for nuclear bindings
AU - Barrett, B. R.
AU - Giraud, B. G.
AU - Jennings, B. K.
AU - Toberg, N. P.
PY - 2010
Y1 - 2010
N2 - 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.
AB - 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.
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M3 - Conference contribution
AN - SCOPUS:84896950624
SN - 9789290833406
T3 - CERN-Proceedings
SP - 267
EP - 272
BT - Proceedings of the 12th International Conference on Nuclear Reaction Mechanisms, NRM 2009
PB - CERN
T2 - 2009 12th International Conference on Nuclear Reaction Mechanisms, NRM 2009
Y2 - 15 June 2009 through 19 June 2009
ER -