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Spurious finite-size instabilities in nuclear energy density functionals: Spin channel

AutorPastore, Alessandro; Tarpanov, Dimitar; Davesne, Dany; Navarro Faus, Jesús
Palabras claveMean-field
Fecha de publicación3-ago-2015
EditorAmerican Physical Society
CitaciónPhysical Review - Section C - Nuclear Physics 92 (2): 024305 - 9 (2015)
ResumenBackground: 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.
Versión del editorhttp://dx.doi.org/10.1103/PhysRevC.92.024305
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