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Mass formula

About: Mass formula is a research topic. Over the lifetime, 1248 publications have been published within this topic receiving 22043 citations.


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TL;DR: In this article, two proofs of the mass formula for definite central division algebras over global function fields have been given, one based on a calculation of Tamagawa measures and the other based on analytic methods.
Abstract: In this paper we give two proofs of the mass formula for definite central division algebras over global function fields, due to Denert and Van Geel. The first proof is based on a calculation of Tamagawa measures. The second proof is based on analytic methods, in which we establish the relationship directly between the mass and the value of the associated zeta function at zero.

4 citations

Journal ArticleDOI
J.R. Rook1
TL;DR: In this article, the semi-empirical mass formula was extended to include different radii for the proton and neutron distributions, and the radii were determined by minimising the energy.

4 citations

Posted Content
02 Dec 1996
TL;DR: The Hamiltonian of the wrapping and KK modes of the supermembrane is identified with the SL(2, Z) symmetric axion-dilaton black hole mass formula as discussed by the authors.
Abstract: The Hamiltonian of the wrapping and KK modes of the supermembrane is identified with the SL(2, Z) symmetric axion-dilaton black hole mass formula. It means that the supermembrane with KK modes wrapped $m$ times around the space-time torus of compactified dimensions induces the superpotential breaking spontaneously N=2 down to N=1 SUSY. The supersymmetry breaking parameter Lambda is inversely proportional to the area A of the space-time torus around which the supermembrane wraps. The restoration of supersymmetry as well as decompactification of higher dimensions of space-time are forbidden by the requirement of stability of the wrapped supermembrane. This may be an ultimate reason why supersymmetry is broken in the real world.

4 citations

Journal ArticleDOI
TL;DR: In this paper , the model uncertainty of the nuclear liquid drop (LD) model and its corresponding symmetry energy coefficients are analyzed. But the model uncertainties of the fitted parameters and the LD model itself are smooth, leading to relatively stable extrapolation.
Abstract: Background: Despite its age, the nuclear liquid drop (LD) model, plus the microscopic corrections, still plays an important role in nuclear mass studies. Especially, the LD model readily correlate the finite nucleus and the nuclear matter through the symmetry energy term.Purpose: To systematically analyze the model uncertainty of the LD mass formula and check the corresponding symmetry energy coefficients.Method: The Monte Carlo bootstrap approach, based on the nonparametric sampling, is applied to determine the statistical uncertainties of the parameter set in two popular LD formulas. The dependence between these parameters is also quantified via the correlation coefficients.Results: The least required proportion of the experimental mass data is fixed for the fitting process of the LD formula. After the statistical deviation is determined for each parameter in the LD formula, the model uncertainty is evaluated as illustrated for one heavy isotopic chain. The Pearson coefficients between each two parameters involved in the LD mass formula are tabulated and figured plus the detailed discussions on the surface and volume symmetry energy coefficients.Conclusion: The uncertainties of the fitted parameters and the LD model itself are smooth, leading to a relatively stable extrapolation. It is necessary to include the Wigner energy term in the LD model when yielding the reasonable symmetry energy coefficients.

4 citations

Journal ArticleDOI
TL;DR: In this paper, Mass Formulae for M = 0 and M = 1 Toller families are derived using the standard tools of the S-matrix theory, and they are shown to be equivalent to
Abstract: «Mass formulae» forM=0 andM=1 Toller families are derived using the standard tools of theS-matrix theory.

4 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
20235
202212
202113
202025
201917
201823