New Skyrme effective forces for supernovae and neutron rich nuclei

Chabanat, E.; Bonche, P.; Haensel, P.; Meyer, J.; Schaeffer, R.

doi:10.1088/0031-8949/1995/t56/034

Cited by 756 publications

(1,383 citation statements)

References 11 publications

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“…[35] for more details) in the (0,0) channel. Since there are no available parameterizations of the N2LO functional obtained from a consistent fitting procedure, we have taken the SLy5 Skyrme functional [7,8] and for the fourth order term we have taken 1/10 of the second order value (no change in the x (4) i=1,2 ) parameters. We notice that the analytic expansion and the numerical integration stay on top of each other as expected, demonstrating the validity of our calculations.…”

Section: Linear Response For 4th Order Componentmentioning

confidence: 99%

“…D-wave) were removed, and the contact three-body term was replaced with a density-dependent two-body term. Hereafter, the Skyrme pseudo-potential assumed the standard form that is widely used nowadays [7,8], which can reproduce with a reasonable accuracy several observables of both finite nuclei and infinite nuclear matter. From this pseudopotential it is possible to derive a functional [9], which is very useful in practical calculations.…”

Section: Introductionmentioning

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: Introductionmentioning

confidence: 99%

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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“…In the last years, tensor terms have been included either on top of existing Skyrme parametrizations like the SIII [16] and the SLy5 [17][18][19] forces (see Refs. [20,21]) or by inserting them in the global fit procedure producing new parametrizations of Skyrme interactions [22][23][24].…”

Section: Introductionmentioning

confidence: 99%

Tensor and tensor-isospin terms in the effective Gogny interaction

et al. 2012

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We discuss the need of including tensor terms in the effective Gogny interaction used in meanfield calculations. We show in one illustrative case that, with the usual tensor term that is employed in the Skyrme interaction (and that allows us to separate the like-nucleon and the neutron-proton tensor contributions), we can describe the evolution of the N = 28 neutron gap in calcium isotopes.We propose to include a tensor and a tensor-isospin term in finite-range interactions of Gogny type. The parameters of the two tensor terms allow us to treat separately the like-nucleon and the neutron-proton contributions. Two parameterizations of the tensor terms have been chosen to reproduce different neutron single-particle properties in the 48 Ca nucleus and the energy of the first 0 − state in the 16 O nucleus. By employing these two parameterizations we analyze the evolution of the N = 14, 28, and 90 neutron energy gaps in oxygen, calcium and tin isotopes, respectively.We show that the combination of the parameters governing the like-nucleon contribution is crucial to correctly reproduce the experimental (where available) or shell-model trends for the evolution of the three neutron gaps under study.

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“…We left out the spin-gradient term [10], which is cumbersome to evaluate in threedimensional calculations numerically and not very important.…”

Section: Introductionmentioning

confidence: 99%

Nuclear matter in the crust of neutron stars

2007

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The properties of inhomogeneous nuclear matter are investigated considering the self-consistent Skyrme Hartree-Fock approach with inclusion of pairing correlations. For a comparison we also consider a relativistic mean field approach. The inhomogeneous infinite matter is described in terms of cubic Wigner-Seitz cells, which leads to a smooth transition to the limit of homogeneous nuclear matter. The possible existence of various structures in the so-called pasta phase is investigated within this self-consistent approach and a comparison is made to results obtained within the Thomas-Fermi approximation. Results for the proton abundances and the pairing properties are discussed for densities for which clustering phenomena are obtained.

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New Skyrme effective forces for supernovae and neutron rich nuclei

Cited by 756 publications

References 11 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 and tensor-isospin terms in the effective Gogny interaction

Nuclear matter in the crust of neutron stars

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