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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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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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Permanent link to this record |
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Author |
Davesne, D.; Pastore, A.; Navarro, J. |
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Title |
Linear response theory with finite-range interactions |
Type |
Journal Article |
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Year |
2021 |
Publication |
Progress in Particle and Nuclear Physics |
Abbreviated Journal |
Prog. Part. Nucl. Phys. |
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Volume |
120 |
Issue |
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Pages |
103870 - 55pp |
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Keywords |
Linear response theory; Finite-range interactions; Gogny and Nakada interactions; Finite size instabilities; Continued fraction approximation; Multipolar expansion |
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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. |
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Address |
[Davesne, D.] Univ Lyon, F-69003 Lyon, France, Email: alessandro.pastore@york.ac.uk |
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Publisher |
Elsevier |
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English |
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ISSN |
0146-6410 |
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Conference |
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Notes |
WOS:000674530100008 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
4910 |
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Author |
Davesne, D.; Pastore, A.; Navarro, J. |
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Title |
Skyrme effective pseudopotential up to the next-to-next-to-leading order |
Type |
Journal Article |
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Year |
2013 |
Publication |
Journal of Physics G |
Abbreviated Journal |
J. Phys. G |
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Volume |
40 |
Issue |
9 |
Pages |
095104 - 8pp |
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Keywords |
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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. |
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Address |
[Davesne, D.] Univ Lyon, F-69622 Lyon, France, Email: davesne@ipnl.in2p3.fr |
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Publisher |
Iop Publishing Ltd |
Place of Publication |
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Language |
English |
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Series Volume |
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Series Issue |
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Edition |
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ISSN |
0954-3899 |
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Expedition |
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Conference |
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Notes |
WOS:000323135200010 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
1558 |
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Permanent link to this record |
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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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ISSN |
0954-3899 |
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Expedition |
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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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Permanent link to this record |
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Author |
Davesne, D.; Navarro, J.; Becker, P.; Jodon, R.; Meyer, J.; Pastore, A. |
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Title |
Extended Skyrme pseudopotential deduced from infinite nuclear matter properties |
Type |
Journal Article |
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Year |
2015 |
Publication |
Physical Review C |
Abbreviated Journal |
Phys. Rev. C |
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Volume |
91 |
Issue |
6 |
Pages |
064303 - 6pp |
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Keywords |
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Abstract |
We discuss the contributions to the equation of state for the NlLO Skyrme pseudopotential (l = 2,3). We show that by adding fourth- and sixth-order gradient terms, it is possible to fairly reproduce the spin/isospin decomposition of an equation of state obtained from ab initio methods. Moreover, by inspecting the partial-wave decomposition of the equation of state, we show for the first time a possible way to add explicit constraints on the sign of the tensor terms of the Skyrme interaction. |
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Address |
[Davesne, D.; Becker, P.; Jodon, R.; Meyer, J.] Univ Lyon, F-69003 Lyon, France |
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Publisher |
Amer Physical Soc |
Place of Publication |
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Language |
English |
Summary Language |
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Series Issue |
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Edition |
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ISSN |
0556-2813 |
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Conference |
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Notes |
WOS:000355622200003 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
2251 |
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Permanent link to this record |
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Author |
Davesne, D.; Pastore, A.; Navarro, J. |
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Title |
Linear response theory in asymmetric nuclear matter for Skyrme functionals including spin-orbit and tensor terms. II. Charge exchange |
Type |
Journal Article |
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Year |
2019 |
Publication |
Physical Review C |
Abbreviated Journal |
Phys. Rev. C |
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Volume |
100 |
Issue |
6 |
Pages |
064301 - 10pp |
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Keywords |
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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. |
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Address |
[Davesne, D.] Univ Lyon, F-69003 Lyon, France, Email: davesne@ipnl.in2p3.fr; |
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Corporate Author |
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Thesis |
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Publisher |
Amer Physical Soc |
Place of Publication |
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Editor |
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Language |
English |
Summary Language |
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Original Title |
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Series Editor |
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Series Title |
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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 |
2469-9985 |
ISBN |
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Area |
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Expedition |
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Conference |
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Notes |
WOS:000499977600001 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
4214 |
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Permanent link to this record |
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Author |
Davesne, D.; Becker, P.; Pastore, A.; Navarro, J. |
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Title |
Partial-wave decomposition of the finite-range effective tensor interaction |
Type |
Journal Article |
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Year |
2016 |
Publication |
Physical Review C |
Abbreviated Journal |
Phys. Rev. C |
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Volume |
93 |
Issue |
6 |
Pages |
064001 - 6pp |
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Keywords |
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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. |
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Address |
[Davesne, D.; Becker, P.] Univ Lyon 1, Inst Phys Nucl Lyon, CNRS, IN2P3, 43 Bd 11 Novembre 1918, F-69622 Villeurbanne, France |
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Thesis |
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Publisher |
Amer Physical Soc |
Place of Publication |
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Editor |
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Language |
English |
Summary Language |
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Original Title |
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Series Editor |
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Series Title |
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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 |
2469-9985 |
ISBN |
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Area |
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Expedition |
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Conference |
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Notes |
WOS:000377302500001 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
2718 |
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Permanent link to this record |
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Author |
Pastore, A.; Davesne, D.; Navarro, J. |
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Title |
Nuclear matter response function with a central plus tensor Landau interaction |
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 |
5 |
Pages |
055103 - 17pp |
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Keywords |
Landau; random phase approximation; phenomenological interactions; tensor |
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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. |
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Address |
[Pastore, A.; Navarro, J.] Univ Libre Brussels, Inst Astron & Astrophys, B-1050 Brussels, Belgium, Email: apastore@ulb.ac.be |
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Corporate Author |
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Thesis |
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Publisher |
Iop Publishing Ltd |
Place of Publication |
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Editor |
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Language |
English |
Summary Language |
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Original Title |
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Series Editor |
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Series Title |
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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 |
0954-3899 |
ISBN |
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Medium |
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Area |
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Expedition |
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Conference |
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Notes |
WOS:000334662500015 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
1750 |
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Permanent link to this record |
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Author |
Becker, P.; Davesne, D.; Meyer, J.; Navarro, J.; Pastore, A. |
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Title |
Solution of Hartree-Fock-Bogoliubov equations and fitting procedure using the N2LO Skyrme pseudopotential in spherical symmetry |
Type |
Journal Article |
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Year |
2017 |
Publication |
Physical Review C |
Abbreviated Journal |
Phys. Rev. C |
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Volume |
96 |
Issue |
4 |
Pages |
044330 - 17pp |
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Keywords |
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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. |
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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; |
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Corporate Author |
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Thesis |
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Publisher |
Amer Physical Soc |
Place of Publication |
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Editor |
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Language |
English |
Summary Language |
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Original Title |
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Series Editor |
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Series Title |
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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 |
2469-9985 |
ISBN |
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Medium |
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Area |
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Expedition |
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Conference |
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Notes |
WOS:000413768400005 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
3338 |
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Permanent link to this record |
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Author |
Davesne, D.; Navarro, J.; Meyer, J.; Bennaceur, K.; Pastore, A. |
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Title |
Two-body contributions to the effective mass in nuclear effective interactions |
Type |
Journal Article |
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Year |
2018 |
Publication |
Physical Review C |
Abbreviated Journal |
Phys. Rev. C |
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Volume |
97 |
Issue |
4 |
Pages |
044304 - 7pp |
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Keywords |
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Abstract |
Starting from general expressions of well-chosen symmetric nuclear matter quantities derived for both zero-and finite-range effective theories, we derive some universal relations between them. We first showthat, independently of the range, the two-body contribution is enough to describe correctly the saturation mechanism but gives an effective mass value around m(*)/m similar or equal to 0.4 when the other properties of the saturation point are set near their generally accepted values. Then, we show that a more elaborated interaction (for instance, an effective two-body density-dependent term on top of the pure two-body term) is needed to reach the accepted value m(*)/m similar or equal to 0.7-0.8. |
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Address |
[Davesne, D.; Meyer, J.; Bennaceur, K.] Univ Claude Bernard Lyon 1, Univ Lyon, CNRS, IPNL,UMR 5822, 4 Rue E Fermi, F-69622 Villeurbanne, France, Email: davesne@ipnl.in2p3.fr; |
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Corporate Author |
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Thesis |
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Publisher |
Amer Physical Soc |
Place of Publication |
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Editor |
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Language |
English |
Summary Language |
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Original Title |
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Series Editor |
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Series Title |
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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 |
2469-9985 |
ISBN |
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Medium |
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Area |
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Expedition |
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Conference |
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Notes |
WOS:000429456600002 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
3554 |
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Permanent link to this record |