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Recently, it has been recently shown that the linear response theory in symmetric nuclear matter can be used as a tool to detect finite size instabilities for different Skyrme functionals. In particular it has been shown that there is a…

Nuclear Theory · Physics 2015-06-11 A. Pastore , D. Davesne , K. Bennaceur , J. Meyer , V. Hellemans

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…

Nuclear Theory · Physics 2015-06-18 D. Davesne , A. Pastore , J. Navarro

The formalism of linear response theory for Skyrme forces including tensor terms presented in article [1] is generalized for the case of a Skyrme energy density functional in infinite matter. We also present analytical results for the…

Nuclear Theory · Physics 2015-06-04 A. Pastore , D. Davesne , Y. Lallouet , M. Martini , K. Bennaceur , J. Meyer

The stability of the equation of state predicted by Skyrme-type interactions is examined. We consider simultaneously symmetric nuclear matter and pure neutron matter. The stability is defined by the inequalities that the Landau parameters…

Nuclear Theory · Physics 2009-11-07 Jerome Margueron , Jesus Navarro , Van Giai Nguyen

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…

Nuclear Theory · Physics 2019-12-11 D. Davesne , A. Pastore , J. Navarro

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.…

Nuclear Theory · Physics 2015-06-11 A. Pastore , D. Davesne , J. Navarro

Self-consistent mean field methods based on phenomenological Skyrme effective interactions are known to exhibit spurious spin and spin-isospin instabilities both at zero and finite temperatures when applied to homogeneous nuclear matter at…

Nuclear Theory · Physics 2010-11-03 N. Chamel , S. Goriely

Zero-range effective interactions are commonly used in nuclear physics to describe a many-body system in the mean-field framework. If they are employed in beyond- mean-field models, an artificial ultraviolet divergence is generated by the…

Nuclear Theory · Physics 2013-04-19 K. Moghrabi , M. Grasso , X. Roca-Maza , G. Coló , N. Van Giai

The formalism of the linear response for the Skyrme energy density functional including tensor terms derived in articles [1,2] for nuclear matter is applied here to the case of pure neutron matter. As in article [2] we present analytical…

Nuclear Theory · Physics 2015-06-05 A. Pastore , M. Martini , V. Buridon , D. Davesne , K. Bennaceur , J. Meyer

The problem of the divergences which arise in beyond mean-field calculations, when a zero-range effective interaction is employed, has not been much considered so far. Some of us have proposed, quite recently, a scheme to regularize a…

Nuclear Theory · Physics 2014-10-22 Marco Brenna , Gianluca Colò , Xavier Roca-Maza

The Brussels-Montreal Skyrme functionals have been successful to describe properties of both finite nuclei and infinite homogeneous nuclear matter. In their latest version, these functionals have been equipped with two extra…

Nuclear Theory · Physics 2015-06-22 A. Pastore , M. Martini , D. Davesne , J. Navarro , S. Goriely , N. Chamel

The mean field properties and equation of state for asymmetric nuclear matter are studied by using a simple effective interaction which has a single finite range Gaussian term. The study of finite nuclei with this effective interaction is…

Nuclear Theory · Physics 2013-02-15 B. Behera , X. Vinas , M. Bhuyan , T. R. Routray , B. K. Sharma , S. K. Patra

We study the effects of the tensor force, present in modern effective nucleon-nucleon interactions, in the spin instability of nuclear and neutron matter. Stability conditions of the system against certain very low energy excitation modes…

Nuclear Theory · Physics 2015-06-15 J. Navarro , A. Polls

It has been recently shown, that some Skyrme functionals can lead to non-converging 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…

Nuclear Theory · Physics 2015-05-20 A. Pastore , D. Tarpanov , D. Davesne , J. Navarro

The effects of a zero-range tensor component of the effective interaction on nuclear response functions are determined in the so-called RPA approach. Explicit formula in the case of symmetric homogeneous isotropic nuclear matter are given…

Nuclear Theory · Physics 2009-09-02 D. Davesne , M. Martini , K. Bennaceur , J. Meyer

We give a brief review on the development of phenomenological NN interactions and the corresponding quantification of statistical uncertainties. We look into the uncertainty of effective interactions broadly used in mean field calculations…

Nuclear Theory · Physics 2016-02-01 R. Navarro Perez , J. E. Amaro , E. Ruiz Arriola

Self-consistent mean-field models are a powerful tool in the investigation of nuclear structure and low-energy dynamics. They are based on effective energy-density functionals, often formulated in terms of effective density-dependent…

Nuclear Theory · Physics 2008-11-26 J. R. Stone , P. -G. Reinhard

The phenomenological Skyrme energy density functional theory is one of the most popular theories for dealing with finite nuclei and infinite nuclear matter, including neutron star matter. However, the density dependence of the effective…

Nuclear Theory · Physics 2025-01-06 Mingya Duan , Michael Urban

Most of the Skyrme interactions are known to predict spin or isospin instabilities beyond the saturation density of nuclear matter which contradict predictions based on realistic interactions. A modification of the standard Skyrme…

Nuclear Theory · Physics 2015-05-13 Jérôme Margueron , Hiroyuki Sagawa

Generalized density dependence in Skyrme effective interactions is investigated to get forces valid beyond the mean field approximation. Preliminary results are presented for infinite symmetric and asymmetric nuclear matter up to pure…

Nuclear Theory · Physics 2015-06-26 B. Cochet , K. Bennaceur , P. Bonche , T. Duguet , J. Meyer
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