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Author Davesne, D.; Pastore, A.; Navarro, J. url  doi
openurl 
  Title (up) Linear response theory in asymmetric nuclear matter for Skyrme functionals including spin-orbit and tensor terms Type Journal Article
  Year 2014 Publication Physical Review C Abbreviated Journal Phys. Rev. C  
  Volume 89 Issue 4 Pages 044302 - 14pp  
  Keywords  
  Abstract The formalism of linear response theory for a Skyrme functional including spin-orbit and tensor terms is generalized to the case of infinite nuclear matter with arbitrary isospin asymmetry. Response functions are obtained by solving an algebraic system of equations, which is explicitly given. Spin-isospin strength functions are analyzed varying the conditions of density, momentum transfer, asymmetry, and temperature. The presence of instabilities, including the spinodal one, is studied by means of the static susceptibility.  
  Address [Davesne, D.] Univ Lyon, F-69003 Lyon, France, Email: davesne@ipnl.in2p3.fr  
  Corporate Author Thesis  
  Publisher Amer Physical Soc Place of Publication Editor  
  Language English Summary Language Original Title  
  Series Editor Series Title Abbreviated Series Title  
  Series Volume Series Issue Edition  
  ISSN 0556-2813 ISBN Medium  
  Area Expedition Conference  
  Notes WOS:000334296000003 Approved no  
  Is ISI yes International Collaboration yes  
  Call Number IFIC @ pastor @ Serial 1758  
Permanent link to this record
 
 
Author Davesne, D.; Pastore, A.; Navarro, J. url  doi
openurl 
  Title (up) Linear response theory in asymmetric nuclear matter for Skyrme functionals including spin-orbit and tensor terms. II. Charge exchange Type Journal Article
  Year 2019 Publication Physical Review C Abbreviated Journal Phys. Rev. C  
  Volume 100 Issue 6 Pages 064301 - 10pp  
  Keywords  
  Abstract We present the formalism of linear response theory both at zero and finite temperature in the case of asymmetric nuclear matter excited by an isospin flip probe. The particle-hole interaction is derived from a general Skyrme functional that includes spin-orbit and tensor terms. Response functions are obtained by solving a closed algebraic system of equations. Spin strength functions are analyzed for typical values of density, momentum transfer, asymmetry, and temperature. We evaluate the role of statistical errors related to the uncertainties of the coupling constants of the Skyrme functional and thus determine the confidence interval of the resulting response function.  
  Address [Davesne, D.] Univ Lyon, F-69003 Lyon, France, Email: davesne@ipnl.in2p3.fr;  
  Corporate Author Thesis  
  Publisher Amer Physical Soc Place of Publication Editor  
  Language English Summary Language Original Title  
  Series Editor Series Title Abbreviated Series Title  
  Series Volume Series Issue Edition  
  ISSN 2469-9985 ISBN Medium  
  Area Expedition Conference  
  Notes WOS:000499977600001 Approved no  
  Is ISI yes International Collaboration yes  
  Call Number IFIC @ pastor @ Serial 4214  
Permanent link to this record
 
 
Author Davesne, D.; Pastore, A.; Navarro, J. url  doi
openurl 
  Title (up) Linear response theory with finite-range interactions Type Journal Article
  Year 2021 Publication Progress in Particle and Nuclear Physics Abbreviated Journal Prog. Part. Nucl. Phys.  
  Volume 120 Issue Pages 103870 - 55pp  
  Keywords Linear response theory; Finite-range interactions; Gogny and Nakada interactions; Finite size instabilities; Continued fraction approximation; Multipolar expansion  
  Abstract This review focuses on the calculation of infinite nuclear matter response functions using phenomenological finite-range interactions, equipped or not with tensor terms. These include Gogny and Nakada families, which are commonly used in the literature. Because of the finite-range, the main technical difficulty stems from the exchange terms of the particle-hole interaction. We first present results based on the so-called Landau and Landau-like approximations of the particle-hole interaction. Then, we review two methods which in principle provide numerically exact response functions. The first one is based on a multipolar expansion of both the particle-hole interaction and the particle-hole propagator and the second one consists in a continued fraction expansion of the response function. The numerical precision can be pushed to any degree of accuracy, but it is actually shown that two or three terms suffice to get converged results. Finally, we apply the formalism to the determination of possible finite-size instabilities induced by a finite-range interaction.  
  Address [Davesne, D.] Univ Lyon, F-69003 Lyon, France, Email: alessandro.pastore@york.ac.uk  
  Corporate Author Thesis  
  Publisher Elsevier Place of Publication Editor  
  Language English Summary Language Original Title  
  Series Editor Series Title Abbreviated Series Title  
  Series Volume Series Issue Edition  
  ISSN 0146-6410 ISBN Medium  
  Area Expedition Conference  
  Notes WOS:000674530100008 Approved no  
  Is ISI yes International Collaboration yes  
  Call Number IFIC @ pastor @ Serial 4910  
Permanent link to this record
 
 
Author Pastore, A.; Davesne, D.; Navarro, J. url  doi
openurl 
  Title (up) Nuclear matter response function with a central plus tensor Landau interaction Type Journal Article
  Year 2014 Publication Journal of Physics G Abbreviated Journal J. Phys. G  
  Volume 41 Issue 5 Pages 055103 - 17pp  
  Keywords Landau; random phase approximation; phenomenological interactions; tensor  
  Abstract We present a method to obtain response functions in the random phase approximation (RPA) based on a residual interaction described in terms of Landau parameters with central plus tensor contributions. The response functions keep the explicit momentum dependence of the RPA, in contrast with the traditional Landau approximation. Results for symmetric nuclear matter and pure neutron matter are presented using Landau parameters derived from finite-range interactions, both phenomenological and microscopic. We study the convergence of response functions as the number of Landau parameters is increased.  
  Address [Pastore, A.; Navarro, J.] Univ Libre Brussels, Inst Astron & Astrophys, B-1050 Brussels, Belgium, Email: apastore@ulb.ac.be  
  Corporate Author Thesis  
  Publisher Iop Publishing Ltd Place of Publication Editor  
  Language English Summary Language Original Title  
  Series Editor Series Title Abbreviated Series Title  
  Series Volume Series Issue Edition  
  ISSN 0954-3899 ISBN Medium  
  Area Expedition Conference  
  Notes WOS:000334662500015 Approved no  
  Is ISI yes International Collaboration yes  
  Call Number IFIC @ pastor @ Serial 1750  
Permanent link to this record
 
 
Author Davesne, D.; Meyer, J.; Pastore, A.; Navarro, J. url  doi
openurl 
  Title (up) Partial wave decomposition of the N3LO equation of state Type Journal Article
  Year 2015 Publication Physica Scripta Abbreviated Journal Phys. Scr.  
  Volume 90 Issue 11 Pages 114002 - 6pp  
  Keywords nuclear structure; equation of state; effective theory  
  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.  
  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;  
  Corporate Author Thesis  
  Publisher Iop Publishing Ltd Place of Publication Editor  
  Language English Summary Language Original Title  
  Series Editor Series Title Abbreviated Series Title  
  Series Volume Series Issue Edition  
  ISSN 0031-8949 ISBN Medium  
  Area Expedition Conference  
  Notes WOS:000366871100003 Approved no  
  Is ISI yes International Collaboration yes  
  Call Number IFIC @ pastor @ Serial 2508  
Permanent link to this record
 
 
Author Davesne, D.; Becker, P.; Pastore, A.; Navarro, J. url  doi
openurl 
  Title (up) Partial-wave decomposition of the finite-range effective tensor interaction Type Journal Article
  Year 2016 Publication Physical Review C Abbreviated Journal Phys. Rev. C  
  Volume 93 Issue 6 Pages 064001 - 6pp  
  Keywords  
  Abstract We perform a detailed analysis of the properties of the finite-range tensor term associated with the Gogny and M3Y effective interactions. In particular, by using a partial-wave decomposition of the equation of state of symmetric nuclear matter, we show how we can extract their tensor parameters directly from microscopic results based on bare nucleon-nucleon interactions. Furthermore, we show that the zero-range limit of both finite-range interactions has the form of the next-to-next-to-next-leading-order (N3LO) Skyrme pseudopotential, which thus constitutes a reliable approximation in the density range relevant for finite nuclei. Finally, we use Brueckner-Hartree-Fock results to fix the tensor parameters for the three effective interactions.  
  Address [Davesne, D.; Becker, P.] Univ Lyon 1, Inst Phys Nucl Lyon, CNRS, IN2P3, 43 Bd 11 Novembre 1918, F-69622 Villeurbanne, France  
  Corporate Author Thesis  
  Publisher Amer Physical Soc Place of Publication Editor  
  Language English Summary Language Original Title  
  Series Editor Series Title Abbreviated Series Title  
  Series Volume Series Issue Edition  
  ISSN 2469-9985 ISBN Medium  
  Area Expedition Conference  
  Notes WOS:000377302500001 Approved no  
  Is ISI yes International Collaboration yes  
  Call Number IFIC @ pastor @ Serial 2718  
Permanent link to this record
 
 
Author Davesne, D.; Pastore, A.; Navarro, J. url  doi
openurl 
  Title (up) Skyrme effective pseudopotential up to the next-to-next-to-leading order Type Journal Article
  Year 2013 Publication Journal of Physics G Abbreviated Journal J. Phys. G  
  Volume 40 Issue 9 Pages 095104 - 8pp  
  Keywords  
  Abstract The explicit form of the next-to-next-to-leading order ((NLO)-L-2) of the Skyrme effective pseudopotential compatible with all required symmetries and especially with gauge invariance is presented in a Cartesian basis. It is shown in particular that for such a pseudopotential there is no spin-orbit contribution and that the D-wave term suggested in the original Skyrme formulation does not satisfy the invariance properties. The six new (NLO)-L-2 terms contribute to both the equation of state and the Landau parameters. These contributions to symmetric nuclear matter are given explicitly and discussed.  
  Address [Davesne, D.] Univ Lyon, F-69622 Lyon, France, Email: davesne@ipnl.in2p3.fr  
  Corporate Author Thesis  
  Publisher Iop Publishing Ltd Place of Publication Editor  
  Language English Summary Language Original Title  
  Series Editor Series Title Abbreviated Series Title  
  Series Volume Series Issue Edition  
  ISSN 0954-3899 ISBN Medium  
  Area Expedition Conference  
  Notes WOS:000323135200010 Approved no  
  Is ISI yes International Collaboration yes  
  Call Number IFIC @ pastor @ Serial 1558  
Permanent link to this record
 
 
Author Becker, P.; Davesne, D.; Meyer, J.; Navarro, J.; Pastore, A. url  doi
openurl 
  Title (up) Solution of Hartree-Fock-Bogoliubov equations and fitting procedure using the N2LO Skyrme pseudopotential in spherical symmetry Type Journal Article
  Year 2017 Publication Physical Review C Abbreviated Journal Phys. Rev. C  
  Volume 96 Issue 4 Pages 044330 - 17pp  
  Keywords  
  Abstract We present the development of the extended Skyrme N2LO pseudopotential in the case of spherical even-even nuclei calculations. The energy density functional is first presented. Then we derive the mean-field equations and discuss the numerical method used to solve the resulting fourth-order differential equation together with the behavior of the solutions at the origin. Finally, a fitting procedure for such an N2LO interaction is discussed and we provide a first parametrization. Typical ground-state observables are calculated and compared against experimental data.  
  Address [Becker, P.; Davesne, D.; Meyer, J.] Univ Lyon 1, Inst Phys Nucl Lyon, UMR 5822, CNRS IN2P3, 43 Bd 11 Novembre 1918, F-69622 Villeurbanne, France, Email: pbecker@ipnl.in2p3.fr;  
  Corporate Author Thesis  
  Publisher Amer Physical Soc Place of Publication Editor  
  Language English Summary Language Original Title  
  Series Editor Series Title Abbreviated Series Title  
  Series Volume Series Issue Edition  
  ISSN 2469-9985 ISBN Medium  
  Area Expedition Conference  
  Notes WOS:000413768400005 Approved no  
  Is ISI yes International Collaboration yes  
  Call Number IFIC @ pastor @ Serial 3338  
Permanent link to this record
 
 
Author Pastore, A.; Tarpanov, D.; Davesne, D.; Navarro, J. url  doi
openurl 
  Title (up) Spurious finite-size instabilities in nuclear energy density functionals: Spin channel Type Journal Article
  Year 2015 Publication Physical Review C Abbreviated Journal Phys. Rev. C  
  Volume 92 Issue 2 Pages 024305 - 9pp  
  Keywords  
  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.  
  Address [Pastore, A.] CEA, DAM, DIF, F-91297 Arpajon, France  
  Corporate Author Thesis  
  Publisher Amer Physical Soc Place of Publication Editor  
  Language English Summary Language Original Title  
  Series Editor Series Title Abbreviated Series Title  
  Series Volume Series Issue Edition  
  ISSN 0556-2813 ISBN Medium  
  Area Expedition Conference  
  Notes WOS:000358933500007 Approved no  
  Is ISI yes International Collaboration yes  
  Call Number IFIC @ pastor @ Serial 2320  
Permanent link to this record
 
 
Author Becker, P.; Davesne, D.; Meyer, J.; Pastore, A.; Navarro, J. url  doi
openurl 
  Title (up) Tools for incorporating a D-wave contribution in Skyrme energy density functionals Type Journal Article
  Year 2015 Publication Journal of Physics G Abbreviated Journal J. Phys. G  
  Volume 42 Issue 3 Pages 034001 - 19pp  
  Keywords energy density functional; D-wave; Skyrme pseudo-potential; linear response theory  
  Abstract The possibility of adding a D-wave term to the standard Skyrme effective interaction has been widely considered in the past. Such a term has been shown to appear in the next-to-next-to-leading order of the Skyrme pseudo-potential. The aim of the present article is to provide the necessary tools to incorporate this term in a fitting procedure: first, a mean-field equation written in spherical symmetry in order to describe spherical nuclei and second, the response function to detect unphysical instabilities. With these tools it will be possible to build a new fitting procedure to determine the coupling constants of the new functional.  
  Address [Becker, P.; Davesne, D.; Meyer, J.] Univ Lyon, F-69622 Lyon, France, Email: apastore@ulb.ac.be  
  Corporate Author Thesis  
  Publisher Iop Publishing Ltd Place of Publication Editor  
  Language English Summary Language Original Title  
  Series Editor Series Title Abbreviated Series Title  
  Series Volume Series Issue Edition  
  ISSN 0954-3899 ISBN Medium  
  Area Expedition Conference  
  Notes WOS:000353300200002 Approved no  
  Is ISI yes International Collaboration yes  
  Call Number IFIC @ pastor @ Serial 2202  
Permanent link to this record
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