@Article{Pastore_etal2015,
author="Pastore, A.
and Tarpanov, D.
and Davesne, D.
and Navarro, J.",
title="Spurious finite-size instabilities in nuclear energy density functionals: Spin channel",
journal="Physical Review C",
year="2015",
publisher="Amer Physical Soc",
volume="92",
number="2",
pages="024305--9pp",
abstract="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.",
optnote="WOS:000358933500007",
optnote="exported from refbase (https://references.ific.uv.es/refbase/show.php?record=2320), last updated on Mon, 07 Sep 2015 18:34:07 +0000",
issn="0556-2813",
doi="10.1103/PhysRevC.92.024305",
opturl="http://arxiv.org/abs/1505.05043",
opturl="https://doi.org/10.1103/PhysRevC.92.024305",
archivePrefix="arXiv",
eprint="1505.05043",
language="English"
}