TY  - JOUR
AU  - Pastore, A.
AU  - Tarpanov, D.
AU  - Davesne, D.
AU  - Navarro, J.
PY  - 2015
DA  - 2015//
TI  - Spurious finite-size instabilities in nuclear energy density functionals: Spin channel
T2  - Phys. Rev. C
JO  - Physical Review C
SP  - 024305
EP  - 9pp
VL  - 92
IS  - 2
PB  - Amer Physical Soc
AB  - 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.
SN  - 0556-2813
UR  - http://arxiv.org/abs/1505.05043
UR  - https://doi.org/10.1103/PhysRevC.92.024305
DO  - 10.1103/PhysRevC.92.024305
LA  - English
N1  - WOS:000358933500007
ID  - Pastore_etal2015
ER  -