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Article overview
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Numerical accuracy of mean-field calculations in coordinate space | | W. Ryssens
; M. Bender
; P.-H. Heenen
; | | Date: |
1 Sep 2015 | | Abstract: | Background: Mean-field methods based on an energy density functional (EDF)
are powerful tools used to describe many properties of nuclei in the entirety
of the nuclear chart. The accuracy required on energies for nuclear physics and
astrophysics applications is of the order of 500 keV and much effort is
undertaken to build EDFs that meet this requirement.
Purpose: The mean-field calculations have to be accurate enough in order to
preserve the accuracy of the EDF. We study this numerical accuracy in detail
for a specific numerical choice of representation for the mean-field equations
that can accommodate any kind of symmetry breaking.
Method: The method that we use is a particular implementation of
3-dimensional mesh calculations. Its numerical accuracy is governed by three
main factors: the size of the box in which the nucleus is confined, the way
numerical derivatives are calculated and the distance between the points on the
mesh. Results: We have examined the dependence of the results on these three
factors for spherical doubly-magic nuclei, neutron-rich $^{34}$Ne, the fission
barrier of $^{240}$Pu and isotopic chains around Z = 50.
Conclusions: Mesh calculations offer the user extensive control over the
numerical accuracy of the solution scheme. By making appropriate choices for
the numerical scheme the achievable accuracy is well below the model
uncertainties of mean-field methods. | | Source: | arXiv, 1509.0252 | | Services: | Forum | Review | PDF | Favorites | |
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