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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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Elsevier |
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English |
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ISSN |
0146-6410 |
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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.; Holt, J.W.; Navarro, J.; Pastore, A. |
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Title |
Landau sum rules with noncentral quasiparticle interactions |
Type |
Journal Article |
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Year |
2023 |
Publication |
Physical Review C |
Abbreviated Journal |
Phys. Rev. C |
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Volume |
108 |
Issue |
3 |
Pages |
034003 - 7pp |
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Keywords |
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Abstract |
We derive explicit expressions for the Landau sum rules for the case of the most general spin-dependent quasiparticle interaction including all possible tensor interactions. For pure neutron matter, we investigate the convergence of the sum rules at different orders of approximation. Employing modern nuclear Hamiltonians based on chiral effective field theory, we find that the inclusion of noncentral interactions improves the convergence of the sum rules only for low densities (n <= 0.1 fm-3). Around nuclear matter saturation density, we find that even ostensibly perturbative nuclear interactions violate the sum rules considerably. By artificially weakening the strength of the nuclear Hamiltonian, the convergence can be improved. |
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Address |
[Davesne, D.] Univ Lyon, Univ Lyon 1, 43 Blvd 11 Novembre 1918, F-69622 Villeurbanne, France, Email: davesne@ipnl.in2p3.fr; |
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Publisher |
Amer Physical Soc |
Place of Publication |
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English |
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ISSN |
2469-9985 |
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Conference |
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Notes |
WOS:001088200900001 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
5750 |
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Author |
Davesne, D.; Becker, P.; Pastore, A.; Navarro, J. |
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Title |
Infinite matter properties and zero-range limit of non-relativistic finite-range interactions |
Type |
Journal Article |
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Year |
2016 |
Publication |
Annals of Physics |
Abbreviated Journal |
Ann. Phys. |
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Volume |
375 |
Issue |
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Pages |
288-312 |
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Keywords |
Equation of state; Effective interaction; Infinite matter |
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Abstract |
We discuss some infinite matter properties of two finite-range interactions widely used for nuclear structure calculations, namely Gogny and M3Y interactions. We show that some useful informations can be deduced for the central, tensor and spin orbit terms from the spin-isospin channels and the partial wave decomposition of the symmetric nuclear matter equation of state. We show in particular that the central part of the Gogny interaction should benefit from the introduction of a third Gaussian and the tensor parameters of both interactions can be deduced from special combinations of partial waves. We also discuss the fact that the spin orbit of the M3Y interaction is not compatible with local gauge invariance. Finally, we show that the zero-range limit of both families of interactions coincides with the specific form of the zero-range Skyrme interaction extended to higher momentum orders and we emphasize from this analogy its benefits. |
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Address |
[Davesne, D.; Becker, P.] Univ Lyon 1, Univ Lyon, CNRS IN2P3, Nucl Phys Inst Lyon,UMR 5822, F-69622 Villeurbanne, France, Email: pbecker@ipnl.in2p3.fr |
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Publisher |
Academic Press Inc Elsevier Science |
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English |
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Edition |
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ISSN |
0003-4916 |
ISBN |
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Area |
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Expedition |
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Conference |
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Notes |
WOS:000389788100017 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
2887 |
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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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English |
Summary Language |
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Series Volume |
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Series Issue |
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Edition |
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ISSN |
0556-2813 |
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: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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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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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 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: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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Publisher |
Iop Publishing Ltd |
Place of Publication |
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English |
Summary Language |
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Original Title |
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Abbreviated Series Title |
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Edition |
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ISSN |
0954-3899 |
ISBN |
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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 |
Davesne, D.; Pastore, A.; Navarro, J. |
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Title |
Extended Skyrme equation of state in asymmetric nuclear matter |
Type |
Journal Article |
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Year |
2016 |
Publication |
Astronomy & Astrophysics |
Abbreviated Journal |
Astron. Astrophys. |
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Volume |
585 |
Issue |
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Pages |
A83 - 11pp |
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Keywords |
dense matter; equation of state |
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Abstract |
We present a new equation of state for infinite systems (symmetric, asymmetric, and neutron matter) based on an extended Skyrme functional that has been constrained by microscopic Brueckner-Bethe-Goldstone results. The resulting equation of state reproduces the main features of microscopic calculations very accurately and is compatible with recent measurements of two times Solar-mass neutron stars. We provide all necessary analytical expressions to facilitate a quick numerical implementation of quantities of astrophysical interest. |
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Address |
[Davesne, D.] Univ Lyon 1, CNRS, Inst Phys Nucl Lyon, UMR 5822,IN2P3, 43 Bd 11 Novembre 1918, F-69622 Villeurbanne, France, Email: alessandro.pastore@york.ac.uk |
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Publisher |
Edp Sciences S A |
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English |
Summary Language |
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Abbreviated Series Title |
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Edition |
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ISSN |
1432-0746 |
ISBN |
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Area |
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Expedition |
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Conference |
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Notes |
WOS:000369710300090 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
2562 |
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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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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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Author |
Davesne, D.; Holt, J.W.; Pastore, A.; Navarro, J. |
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Title |
Effect of three-body forces on response functions in infinite neutron matter |
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 |
1 |
Pages |
014323 - 7pp |
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Keywords |
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Abstract |
We study the impact of three-body forces on the response functions of cold neutron matter. These response functions are determined in the random phase approximation from a residual interaction expressed in terms of Landau parameters. Special attention is paid to the noncentral part, including all terms allowed by the relevant symmetries. Using Landau parameters derived from realistic nuclear two-and three-body forces grounded in chiral effective field theory, we find that the three-body term has a strong impact on the excited states of the system and in the static and long-wavelength limit of the response functions for which a new exact formula is established. |
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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 |
0556-2813 |
ISBN |
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Area |
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Expedition |
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Conference |
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Notes |
WOS:000349353100001 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
2111 |
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