Nuclear response for the Skyrme effective interaction with zero-range tensor terms. II. Sum rules and instabilities

Pastore, Alessandro; Davesne, D.; Lallouet, Yoann; Martini, M.; Bennaceur, K.; Meyer, J.

doi:10.1103/physrevc.85.054317

Cited by 41 publications

(88 citation statements)

References 55 publications

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“…In a recent series of articles, we have presented the Linear Response formalism [35,36,37,38] for a standard Skyrme functional in both symmetric nuclear matter (SNM) and pure neutron matter (PNM). In particular, using the LR formalism we have studied the presence of finite-size instabilities in the infinite medium.…”

Section: Linear Response For 4th Order Componentmentioning

confidence: 99%

“…[36,37,38,35], we have decided to express the system of coupled equations in matrix form as done in Ref. [48] and to solve them numerically to obtain the response function of the system χ (α) (q, ω).…”

Section: Linear Response For 4th Order Componentmentioning

confidence: 99%

“…The EWSR can also be calculated using double commutator techniques [49] as already explained in Ref. [37]. The calculation with this method in the channel (0,0) is particularly simple.…”

Section: Linear Response For 4th Order Componentmentioning

confidence: 99%

“…Note that only the 4th order contribution is written: W (S,I) 1 also receive other contributions from the usual Skyrme functional that are not given here (see [37] for explicit expressions).…”

Section: Appendix C System Of Equations In Each Spin-isospin Channelmentioning

confidence: 99%

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Tools for incorporating a D-wave contribution in Skyrme energy density functionals

Becker¹,

Davesne²,

Meyer³

et al. 2015

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

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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.

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Section: Linear Response For 4th Order Componentmentioning

confidence: 99%

Section: Linear Response For 4th Order Componentmentioning

confidence: 99%

“…The EWSR can also be calculated using double commutator techniques [49] as already explained in Ref. [37]. The calculation with this method in the channel (0,0) is particularly simple.…”

Section: Linear Response For 4th Order Componentmentioning

confidence: 99%

Section: Appendix C System Of Equations In Each Spin-isospin Channelmentioning

confidence: 99%

See 2 more Smart Citations

Tools for incorporating a D-wave contribution in Skyrme energy density functionals

Becker¹,

Davesne²,

Meyer³

et al. 2015

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

View full text Add to dashboard Cite

show abstract

“…[100] has been extended to a functional (not necessarily derived from an Hamiltonian) in Ref. [135]. One of the main goals of this paper is also to find an efficient way to detect the instabilities.…”

Section: Instabilitiesmentioning

confidence: 99%

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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Linear response of homogeneous nuclear matter with energy density functionals

2015

Self Cite

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To be published on Physics ReportsInternational audienceResponse 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. Besides the usual central, spin-orbit and tensor terms it could also include other components as new density-dependent terms or three-body terms. Algebraic expressions for the response functions are obtained from the Bethe-Salpeter equation for the particle-hole propagator. Applications to symmetric nuclear matter, pure neutron matter and asymmetric nuclear matter are presented and discussed. Spin-isospin strength functions are analyzed for varying conditions of density, momentum transfer, isospin asymmetry, and temperature for some representative Skyrme functionals. Particular attention is paid to the discussion of instabilities, either real or unphysical, which could manifest in finite nuclei

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Nuclear response for the Skyrme effective interaction with zero-range tensor terms. II. Sum rules and instabilities

Cited by 41 publications

References 55 publications

Tools for incorporating a D-wave contribution in Skyrme energy density functionals

Tools for incorporating a D-wave contribution in Skyrme energy density functionals

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

Linear response of homogeneous nuclear matter with energy density functionals

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