One-particle exchange in the double-folded potential in a semiclassical approximation

Soubbotin, V. B.; Viñas, X.

doi:10.1088/0954-3899/25/10/308

Cited by 10 publications

(9 citation statements)

References 24 publications

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“…For Skyrme forces the binding energies for finite nuclei obtained including these h4 -contributions are close to the Strutinsky results [13] although some differences persist due to the approximations used for obtaining the T [ρ] functional in the ETF approach [15]. Very recently [16], the ETF approach has been employed to obtain the semiclassical density matrix up to h2 order in coordinate space for the case of a non-local HF potential for finite range effective nucleon-nucleon forces.…”

Section: Introductionsupporting

confidence: 64%

“…At this TF level there is no semiclassical spin-orbit contribution. On the other hand, as it has been pointed out in previous literature the Slater approach to the density matrix cannot be very accurate for describing the exchange part specially if the non-local effects are important [18,16].…”

Section: Introductionmentioning

confidence: 96%

“…In this section we derive the ETF HF energy for a non-local potential following closely the method presented in Refs. [15,16]. We start from the quantal one-body Hamiltonian which for each kind of particle reads…”

Section: Introductionmentioning

confidence: 99%

“…Corrections to the one-body density matrix that take into account finite-size effects have been considered in the past [18,19]. However, we will use here the recently developed ETF approach to the one-body density matrix [16]. Usually, the semiclassical methods of TF type are based on the Wigner-Kirkwood h expansion of the density matrix [20].…”

Section: Introductionmentioning

confidence: 99%

“…We will use the latter way that has been applied in the case of non-local potentials in refs. [15,16].…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Semiclassical approximation to the Hartree-Fock method in finite nuclei

Gridnev,

Soubbotin,

Viñas

et al. 2017

Preprint

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In this paper we review the semiclassical extended Thomas-Fermi theory for describing the ground-state properties of nuclei. The binding energies calculated in this approach do not contain shell effects and, in this sense, they are analogous to those obtained from the mass formula. We discuss some techniques for incorporating the shell effects which are missing in the semiclassical calculation, such as the so-called expectation value method and the Kohn-Sham scheme. We present numerical applications for effective zero-range Skyrme forces and finite-range Gogny forces.

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Section: Introductionsupporting

confidence: 64%

Section: Introductionmentioning

confidence: 96%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…We will use the latter way that has been applied in the case of non-local potentials in refs. [15,16].…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Semiclassical approximation to the Hartree-Fock method in finite nuclei

Gridnev,

Soubbotin,

Viñas

et al. 2017

Preprint

View full text Add to dashboard Cite

show abstract

Kohn-Sham Approximation with Finite Range Forces

Viñas

Centelles

Soubbotin

et al. 2002

The Nuclear Many-Body Problem 2001

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Microscopically-constrained Fock energy density functionals from chiral effective field theory. I. Two-nucleon interactions

2011

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The density matrix expansion (DME) of Negele and Vautherin is a convenient tool to map finiterange physics associated with vacuum two-and three-nucleon interactions into the form of a Skymelike energy density functional (EDF) with density-dependent couplings. In this work, we apply the improved formulation of the DME proposed recently in arXiv:0910.4979 by Gebremariam et al. to the non-local Fock energy obtained from chiral effective field theory (EFT) two-nucleon (NN) interactions at next-to-next-to-leading-order (N 2 LO). The structure of the chiral interactions is such that each coupling in the DME Fock functional can be decomposed into a cutoff-dependent coupling constant arising from zero-range contact interactions and a cutoff-independent coupling function of the density arising from the universal long-range pion exchanges. This motivates a new microscopically-guided Skyrme phenomenology where the density-dependent couplings associated with the underlying pion-exchange interactions are added to standard empirical Skyrme functionals, and the density-independent Skyrme parameters subsequently refit to data. A Mathematica notebook containing the novel density-dependent couplings is provided.

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One-particle exchange in the double-folded potential in a semiclassical approximation

Cited by 10 publications

References 24 publications

Semiclassical approximation to the Hartree-Fock method in finite nuclei

Semiclassical approximation to the Hartree-Fock method in finite nuclei

Kohn-Sham Approximation with Finite Range Forces

Microscopically-constrained Fock energy density functionals from chiral effective field theory. I. Two-nucleon interactions

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