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

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

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dc.contributor.author Pastore, Alessandro
dc.contributor.author Tarpanov, Dimitar
dc.contributor.author Davesne, Dany
dc.contributor.author Navarro Faus, Jesús
dc.date.accessioned 2015-12-14T12:41:00Z
dc.date.available 2015-12-14T12:41:00Z
dc.date.issued 2015
dc.identifier.citation Pastore, Alessandro Tarpanov, Dimitar Davesne, Dany Navarro Faus, Jesús 2015 Spurious finite-size instabilities in nuclear energy density functionals: Spin channel Physical Review C 92 2 024305
dc.identifier.uri http://hdl.handle.net/10550/49220
dc.description.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.
dc.language.iso eng
dc.relation.ispartof Physical Review C, 2015, vol. 92, num. 2, p. 024305
dc.subject Física
dc.title Spurious finite-size instabilities in nuclear energy density functionals: Spin channel
dc.type journal article es_ES
dc.date.updated 2015-12-14T12:41:00Z
dc.identifier.doi 10.1103/PhysRevC.92.024305
dc.identifier.idgrec 108207
dc.rights.accessRights open access es_ES

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