Spin instabilities of infinite nuclear matter and effective tensor interactions

Navarro, J.; Polls, A.

doi:10.1103/physrevc.87.044329

Cited by 20 publications

(38 citation statements)

References 45 publications

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“…Another interesting point of Ref. [13] is that the authors have shown that instabilities manifest themselves in another quantity that is easier to calculate than the full response function, namely the spin susceptibility that is obtained as a proper limit to zero energy and momentum transfer of Eq. (75).…”

Section: Instabilitiesmentioning

confidence: 99%

“…[13] an interesting comparison between instabilities induced by zero-range and finite-range interactions is carried out. It has been shown that in the case of zero-range interactions the addition of tensor terms favours the appearance of instablities but this is not the case for the finiterange forces.…”

Section: Instabilitiesmentioning

confidence: 99%

“…Review papers have been devoted to this topic [11,12]. Many of the currently employed mean-field or DFT-based methods are not well calibrated in the spin-isospin channel and/or suffer from spin and spin-isospin instabilities (i.e., spontaneous magnetization) above some critical density (see, e.g., [13] and references therein). There is obviously a strong need to improve the predictive power of the models as far as the spin-isospin states are concerned, and it must be established to which extent the tensor terms are important in this channel.…”

Section: Introductionmentioning

confidence: 99%

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Tensor interaction in mean-field and density functional theory approaches to nuclear structure

Sagawa

Colò

2014

Progress in Particle and Nuclear Physics

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The importance of the tensor force for nuclear structure has been recognized long ago. Recently, the interest for this topic has been revived by the study of the evolution of nuclear properties far from the stability line. However, in the context of the effective theories that describe medium-heavy nuclei, the role of the tensor force is still debated. This review focuses on ground-state properties like masses and deformation, on single-particle states, and on excited vibrational and rotational modes. The goal is to assess which properties, if any, can bring clear signatures of the tensor force within the mean-field or density functional theory framework. It will be concluded that, while evidences for a clear neutron-proton tensor force exist despite quantitative uncertainties, the role of the tensor force among equal particles is less well established.

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Section: Instabilitiesmentioning

confidence: 99%

Section: Instabilitiesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Tensor interaction in mean-field and density functional theory approaches to nuclear structure

Sagawa

Colò

2014

Progress in Particle and Nuclear Physics

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“…It consists in describing the ph interaction in terms of Landau parameters, including both central and tensor components, and calculating the RPA response function with no further approximations. Actually we shall apply and extend the method previously developed to obtain the RPA response function [7,9,10,11]. We shall explore the convergence of the response in terms of the number of Landau parameters.…”

Section: Introductionmentioning

confidence: 99%

Nuclear matter response function with a central plus tensor Landau interaction

Pastore

Davesne

Navarro

2014

J. Phys. G: Nucl. Part. Phys.

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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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“…The parameters are usually fixed to reproduce some selected spinorbit splittings, with either a partial or a complete fit of parameters. However, the parametrizations can lead to the appearance of unphysical instabilities of the Fermi surface both in the zero-and long-range regimes [16][17][18]. To avoid them we have proposed [19,20] to incorporate into the fitting procedure the constraints obtained from linear response theory.…”

mentioning

confidence: 99%

Partial-wave decomposition of the finite-range effective tensor interaction

et al. 2016

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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 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. One of the key ingredients of the bare nucleon-nucleon (NN) interaction is the tensor part, which represents the most distinct manifestation on meson exchange process. Among the most important properties related to the tensor interaction, one can mention the quadrupole moment of the deuteron, the properties of excited states [1][2][3][4], the contribution to the spin-orbit splitting [5], and the shell evolution along isotopic chains [6]. Within the context of phenomenological interactions, one should in particular keep in mind that the strong competition between spin-orbit and tensor on the shell structure properties of atomic nuclei [2, 7-9], prevents to freely explore the parameter space, since a variation in the tensor can lead to a substantial change in the shell structure with the appearance of new magic numbers. A detailed discussion and list of references about these issues is given in the recent review article of Sagawa and Coló [10].Despite their importance, only a few exploratory attempts have been made in the past [11,12] to include explicit tensor terms within non-relativistic self-consistent mean-field or density functional nuclear models. More recently, such terms have been added to existing zero-or finite-range effective interactions, as the popular families of Skyrme [13], Gogny [14] or M3Y [15]. The parameters are usually fixed to reproduce some selected spinorbit splittings, with either a partial or a complete fit of parameters. However, the parametrizations can lead to the appearance of unphysical instabilities of the Fermi surface both in the zero-and long-range regimes [16][17][18]. To avoid them we have proposed [19,20] to incorporate into the fitting procedure the constraints obtained from linear response theory. Furthermore, we have also suggested [19,21,22] some new constraints from microscopic calculations based on the bare NN interaction: specifically, a partial wave decomposition on the so-called N3LO Skyrme pseudo-potential of the symmetric nuclear matter (SNM) equation of state (EoS) allows one to clearly identify the contribution of each term of the effective interaction, even for the tensor part. This decomposition can be used for an initial guess of the interaction parameters. The N3LO pseudo-potential represents the most general non-local zero-range pseudo-potential that incl...

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Spin instabilities of infinite nuclear matter and effective tensor interactions

Cited by 20 publications

References 45 publications

Tensor interaction in mean-field and density functional theory approaches to nuclear structure

Tensor interaction in mean-field and density functional theory approaches to nuclear structure

Nuclear matter response function with a central plus tensor Landau interaction

Partial-wave decomposition of the finite-range effective tensor interaction

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