%0 Journal Article
%T Spurious finite-size instabilities in nuclear energy density functionals: Spin channel
%A Pastore, A.
%A Tarpanov, D.
%A Davesne, D.
%A Navarro, J.
%J Physical Review C
%D 2015
%V 92
%N 2
%I Amer Physical Soc
%@ 0556-2813
%G English
%F Pastore_etal2015
%O WOS:000358933500007
%O exported from refbase (https://references.ific.uv.es/refbase/show.php?record=2320), last updated on Mon, 07 Sep 2015 18:34:07 +0000
%X Background: It has been recently shown that some Skyrme functionals can lead to nonconverging results in the calculation of some properties of atomic nuclei. A previous study has pointed out a possible link between these convergence problems and the appearance of finite-size instabilities in symmetric nuclear matter (SNM) around saturation density. Purpose: We show that the finite-size instabilities not only affect the ground-state properties of atomic nuclei, but they can also influence the calculations of vibrational excited states in finite nuclei. Method: We perform systematic fully-self consistent random phase approximation (RPA) calculations in spherical doubly magic nuclei. We employ several Skyrme functionals and vary the isoscalar and isovector coupling constants of the time-odd term s . Delta s. We determine critical values of these coupling constants beyond which the RPA calculations do not converge because the RPA stability matrix becomes nonpositive. Results: By comparing the RPA calculations of atomic nuclei with those performed for SNM we establish a correspondence between the critical densities in the infinite system and the critical coupling constants for which the RPA calculations do not converge. Conclusions: We find a quantitative stability criterion to detect finite-size instabilities related to the spin s . Delta s term of a functional. This criterion could be easily implemented in the standard fitting protocols to fix the coupling constants of the Skyrme functional.
%R 10.1103/PhysRevC.92.024305
%U http://arxiv.org/abs/1505.05043
%U https://doi.org/10.1103/PhysRevC.92.024305
%P 024305-9pp