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Author |
Pastore, A.; Tarpanov, D.; Davesne, D.; Navarro, J. |
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Title |
Spurious finite-size instabilities in nuclear energy density functionals: Spin channel |
Type |
Journal Article |
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Year |
2015 |
Publication |
Physical Review C |
Abbreviated Journal |
Phys. Rev. C |
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Volume |
92 |
Issue |
2 |
Pages |
024305 - 9pp |
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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. |
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Address |
[Pastore, A.] CEA, DAM, DIF, F-91297 Arpajon, France |
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Publisher |
Amer Physical Soc |
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English |
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ISSN |
0556-2813 |
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Notes |
WOS:000358933500007 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
2320 |
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Author |
Davesne, D.; Meyer, J.; Pastore, A.; Navarro, J. |
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Title |
Partial wave decomposition of the N3LO equation of state |
Type |
Journal Article |
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Year |
2015 |
Publication |
Physica Scripta |
Abbreviated Journal |
Phys. Scr. |
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Volume |
90 |
Issue |
11 |
Pages |
114002 - 6pp |
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Keywords |
nuclear structure; equation of state; effective theory |
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Abstract |
By means of a partial wave decomposition, we separate their contributions to the equation of state (EoS) of symmetric nuclear matter for the N3LO pseudo-potential. In particular, we show that although both the tensor and the spin-orbit terms do not contribute to the EoS, they give a non-vanishing contribution to the separate (JLS) channels. |
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Address |
[Davesne, D.; Meyer, J.] Univ Lyon 1, CNRS, IN2P3, Inst Phys Nucl Lyon,UMR 5822, F-69622 Villeurbanne, France, Email: davesne@ipnl.in2p3.fr; |
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Publisher |
Iop Publishing Ltd |
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English |
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ISSN |
0031-8949 |
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Conference |
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Notes |
WOS:000366871100003 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
2508 |
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Author |
Davesne, D.; Pastore, A.; Navarro, J. |
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Title |
Hartree-Fock Calculations in Semi-Infinite Matter with Gogny Interactions |
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Journal Article |
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Year |
2023 |
Publication |
Universe |
Abbreviated Journal |
Universe |
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Volume |
9 |
Issue |
9 |
Pages |
398 - 11pp |
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Keywords |
Nuclear Density Functional Theory; semi-infinite nuclear matter; Hartree-Fock equations; 21.60.Jz; 21.65.-f; 21.65.Mn |
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Abstract |
Hartree-Fock equations in semi-infinite nuclear matter for finite range Gogny interactions are presented together with a detailed numerical scheme to solve them. The value of the surface energy is then extracted and given for standard Gogny interactions. |
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Address |
[Davesne, Dany] Univ Lyon 1, Inst Phys Infinis Lyon 2, CNRS, IN2P3, 43 Bd 11 Novembre 1918, F-69622 Villeurbanne, France, Email: davesne@ipnl.in2p3.fr; |
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Publisher |
Mdpi |
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English |
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Conference |
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Notes |
WOS:001074530100001 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
5693 |
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Author |
Davesne, D.; Pastore, A.; Navarro, J. |
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Title |
Fitting (NLO)-L-3 pseudo-potentials through central plus tensor Landau parameters |
Type |
Journal Article |
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Year |
2014 |
Publication |
Journal of Physics G |
Abbreviated Journal |
J. Phys. G |
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Volume |
41 |
Issue |
6 |
Pages |
065104 - 12pp |
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Keywords |
Landau parameters; (NLO)-L-3; phenomenological interactions; fitting methods |
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Abstract |
Landau parameters determined from phenomenological finite-range interactions are used to get an estimation of next-to-next-to-next-to-leading order ((NLO)-L-3) pseudo-potentials parameters. The parameter sets obtained in this way are shown to lead to consistent results concerning saturation properties. The uniqueness of this procedure is discussed, and an estimate of the error induced by the truncation at (NLO)-L-3 is given. |
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Address |
[Davesne, D.] Univ Lyon, F-69622 Lyon, France, Email: davesne@inpl.in2p3.fr |
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Publisher |
Iop Publishing Ltd |
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Language |
English |
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Series Issue |
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Edition |
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ISSN |
0954-3899 |
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Conference |
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Notes |
WOS:000338425100009 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
1838 |
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Author |
Pastore, A.; Davesne, D.; Navarro, J. |
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Title |
Linear response of homogeneous nuclear matter with energy density functionals |
Type |
Journal Article |
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Year |
2015 |
Publication |
Physics Reports |
Abbreviated Journal |
Phys. Rep. |
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Volume |
563 |
Issue |
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Pages |
1-67 |
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Keywords |
Skyrme functional; Linear response theory; Landau parameters |
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Abstract |
Response functions of infinite nuclear matter with arbitrary isospin asymmetry are studied in the framework of the random phase approximation. The residual interaction is derived from a general nuclear Skyrme energy density functional. Besides the usual central, spin-orbit and tensor terms it could also include other components as new density-dependent terms or three-body terms. Algebraic expressions for the response functions are obtained from the Bethe-Salpeter equation for the particle-hole propagator. Applications to symmetric nuclear matter, pure neutron matter and asymmetric nuclear matter are presented and discussed. Spin-isospin strength functions are analyzed for varying conditions of density, momentum transfer, isospin asymmetry, and temperature for some representative Skyrme functionals. Particular attention is paid to the discussion of instabilities, either real or unphysical, which could manifest in finite nuclei. |
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Address |
[Pastore, A.] Univ Libre Bruxelles, Inst Astron & Astrophys, B-1050 Brussels, Belgium, Email: davesne@ipnl.in2p3.fr |
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Corporate Author |
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Publisher |
Elsevier Science Bv |
Place of Publication |
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Editor |
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Language |
English |
Summary Language |
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Series Editor |
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Abbreviated Series Title |
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Series Volume |
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Series Issue |
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Edition |
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ISSN |
0370-1573 |
ISBN |
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Conference |
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Notes |
WOS:000350515400001 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
2143 |
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