A Skyrme parametrization from subnuclear to neutron star densities

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

doi:10.1016/s0375-9474(97)00596-4

Cited by 1,032 publications

(1,359 citation statements)

References 90 publications

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“…The energy of the atomic nucleus can be expressed by means of an energy density functional [47][48][49][50], containing five parts: the kinetic energy, a Skyrme potential energy functional modeling the strong force in the particle-hole channel, a pairing energy functional, a Coulomb energy functional, and terms to approximately correct for the spurious-motion caused by broken symmetries E = E kin + E Sk + E pairing + E Coulomb + E corr . (1) For the kinetic energy and the Coulomb energy functional comprising a direct term and the exchange term in Slater approximation we use the same expressions as presented in Ref.…”

Section: The Self-consistent Mean-field Methodsmentioning

confidence: 99%

“…radii of doubly-magic nuclei and on properties of infinite nuclear matter [47]. As discussed in Sect.…”

Section: Time-odd Termsmentioning

confidence: 99%

“…In Article I, a set of 36 parameterizations for the Skyrme interaction including a zero-range tensor force has been determined using a fitting protocol almost identical to the one used for the SLyx parameterizations [47,48]. These parameterizations, labeled TIJ, systematically cover a wide range of the C J t ≡ −C T t + 1 2 C F t coupling constants of the tensor terms in spherical symmetry, see Articles I and II for further details.…”

Section: F Parameterizationsmentioning

confidence: 99%

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Tensor part of the Skyrme energy density functional. III. Time-odd terms at high spin

2012

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This article extends previous studies on the effect of tensor terms in the Skyrme energy density functional by breaking of time-reversal invariance. We have systematically probed the impact of tensor terms on properties of superdeformed rotational bands calculated within the cranked HartreeFock-Bogoliubov approach for different parameterizations covering a wide range of values for the isoscalar and isovector tensor coupling constants. We analyze in detail the contribution of the tensor terms to the energies and dynamical moments of inertia and study their impact on quasi-particle spectra. Special attention is devoted to the time-odd tensor terms, the effect of variations of their coupling constants and finite-size instabilities.

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Section: The Self-consistent Mean-field Methodsmentioning

confidence: 99%

“…radii of doubly-magic nuclei and on properties of infinite nuclear matter [47]. As discussed in Sect.…”

Section: Time-odd Termsmentioning

confidence: 99%

Section: F Parameterizationsmentioning

confidence: 99%

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Tensor part of the Skyrme energy density functional. III. Time-odd terms at high spin

2012

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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%

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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“…The Skyrme-Lyon parameterization Sly230a, already employed for astrophysical applications in ref. [20], is taken as a reference, since it has been especially fitted to describe neutron-rich matter [21,22]. It is compared to two other Skyrme forces : the earlier SGII [23], whose parameters are optimized to describe nuclear collective motion, and SIII, one of the first and more simple Skyrme parameterizations [24].…”

Section: Introductionmentioning

confidence: 99%

Isospin-dependent clusterization of neutron-star matter

2007

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Because of the presence of a liquid-gas phase transition in nuclear matter, compactstar matter can present a region of instability against the formation of clusters. We investigate this phase separation in a matter composed of neutrons, protons and electrons, within a Skyrme-Lyon mean-field approach. Matter instability and phase properties are characterized through the study of the free-energy curvature. The effect of β-equilibrium is also analyzed in detail, and we show that the opacity to neutrinos has an influence on the presence of clusterized matter in finite-temperature proto-neutron stars.

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A Skyrme parametrization from subnuclear to neutron star densities

Cited by 1,032 publications

References 90 publications

Tensor part of the Skyrme energy density functional. III. Time-odd terms at high spin

Tensor part of the Skyrme energy density functional. III. Time-odd terms at high spin

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

Isospin-dependent clusterization of neutron-star matter

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