Nuclear asymmetry energy and isovector stiffness within the effective surface approximation

Błocki, J.; Magner, A. G.; Ring, P.; Vlasenko, Andrii

doi:10.1103/physrevc.87.044304

Cited by 17 publications

(203 citation statements)

References 34 publications

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“…Another example is offered by Ref. [64] which expresses the IVGDR energy constant in terms of symmetry energy, saturation density and surface stiffness coefficient, Q sti f f , as,…”

Section: B Correlations Between Nuclear Observables and Parameters Omentioning

confidence: 99%

Nuclear skin and the curvature of the symmetry energy

Raduta

Gulminelli

2018

Phys. Rev. C

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The effect of correlations between the slope and the curvature of the symmetry energy on ground state nuclear observables is studied within the extended Thomas-Fermi approximation. We consider different isovector probes of the symmetry energy, with a special focus on the neutron skin thickness of 208 Pb. We use a recently proposed meta-modelling technique to generate a large number of equation of state models, where the empirical parameters are independently varied. The results are compared to a set of calculations using 17 different Skyrme interactions. We show that the curvature parameter plays a non-negligible role on the neutron skin, while the effect is reduced in Skyrme functionals because of the correlation with the slope parameter.

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“…Another example is offered by Ref. [64] which expresses the IVGDR energy constant in terms of symmetry energy, saturation density and surface stiffness coefficient, Q sti f f , as,…”

Section: B Correlations Between Nuclear Observables and Parameters Omentioning

confidence: 99%

Nuclear skin and the curvature of the symmetry energy

Raduta

Gulminelli

2018

Phys. Rev. C

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“…Actually there is a variety of neutron star properties which are sensitive to SE, that is the maximum mass value and the corresponding radius, the onset of the direct Urca process, the crust-core transition density and pressure e.t.c. [2,9] Recently, there is an extended theoretical [10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,57,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,…”

Section: Introductionmentioning

confidence: 99%

Effects of the symmetry energy on the isovector properties of neutron-rich nuclei within a Thomas-Fermi approach

Papazoglou

Moustakidis

2014

Phys. Rev. C

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We employ a variational method, in the framework of the Thomas-Fermi approximation, to study the effect of the symmetry energy on the neutron skin thickness and the symmetry energy coefficients of various neutron rich nuclei. We concentrate our interest on 208 Pb, 124 Sn, 90 Zr, and 48 Ca, although the method can be applied in the totality of medium and heavy neutron rich nuclei. Our approach has the advantage that the isospin asymmetry function α(r), which is the key quantity to calculate isovector properties of various nuclei, is directly related with the symmetry energy as a consequence of the variational principle. Moreover, the Coulomb interaction is included in a self-consistent way and its effects can be separated easily from the nucleon-nucleon interaction. We confirm, both qualitatively and quantitatively, the strong dependence of the symmetry energy on the various isovector properties for the relevant nuclei, using possible constraints between the slope and the value of the symmetry energy at the saturation density. PACS number(s): 21.65. Ef, 21.65.Mn, 21.65.Cd, 21.10.Gv

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“…These constants are proportional to the corresponding surface tension coefficients σ ± = b (±) S /(4πr 2 0 ) through the solutions (28) and (32) for ρ ± (ξ), which can be taken into account in leading order of a/R (Appendix A) . These coefficients σ ± are the same as found in the expressions for capillary pressures of the macroscopic boundary conditions; see Appendix A2, and [34,35,51,52] with new values ε ± modified by L and K − derivative corrections of (23) and (26), also [54,55]). Within the improved ES approximation where higher order corrections in the small parameter a/R are taken into account, we derived in [52] equations for the nuclear surface itself (see also [34,35,51]).…”

Section: Isovector Energy and Stiffnessmentioning

confidence: 99%

“…These coefficients σ ± are the same as found in the expressions for capillary pressures of the macroscopic boundary conditions; see Appendix A2, and [34,35,51,52] with new values ε ± modified by L and K − derivative corrections of (23) and (26), also [54,55]). Within the improved ES approximation where higher order corrections in the small parameter a/R are taken into account, we derived in [52] equations for the nuclear surface itself (see also [34,35,51]). For more exact isoscalar and isovector particle densities we account for the main terms at next order of the parameter a/R in the Lagrange equations [see (A.1) for the isovector and [34,35,51] for the isoscalar case].…”

Section: Isovector Energy and Stiffnessmentioning

confidence: 99%

“…For small isovector-and isoscalar-multipole ES-radius vibrations of the finite neutron and proton Fermiliquid drops around the spherical nuclear shape, one has δR ± (t) = Rα ± S (t)Y λ0 (r) with a small timedependent amplitudes α ± S (t) = α ± S exp(−iωt). The macroscopic boundary conditions (surface continuity and force-equilibrium equations) at the ES are given by [41,42,52]:…”

Section: The Fermi-liquid Droplet Modelmentioning

confidence: 99%

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Semiclassical approaches to nuclear dynamics

2017

Self Cite

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The extended Gutzwiller trajectory approach is presented for the semiclassical description of nuclear collective dynamics, in line with the main topics of the fruitful activity of V.G. Solovjov. Within the Fermi-liquid droplet model, the leptodermous effective surface approximation was applied to calculations of energies, sum rules and transition densities for the neutron-proton asymmetry of the isovector giant-dipole resonance and found to be in good agreement with the experimental data. By using the Strutinsky shell correction method, the semiclassical collective transport coefficients such as nuclear inertia, friction, stiffness, and moments of inertia can be derived beyond the quantum perturbation approximation of the response function theory and the cranking model.The averaged particle-number dependence of the low-lying collective vibrational states are described in good agreement with basic experimental data, mainly due to an enhancement of the collective inertia as compared to its irrotational flow value. Shell components of the moment of inertia are derived in terms of the periodic-orbit free-energy shell corrections. A good agreement between the semiclassical extended Thomas-Fermi moments of inertia with shell corrections and the quantum results is obtained for different nuclear deformations and particle numbers. Shell effects are shown to be exponentially dampted out with increasing temperature in all the transport coefficients.Comment: 83 pages, 39 figures, 4 tables, corrected typos and improved Englis

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Nuclear asymmetry energy and isovector stiffness within the effective surface approximation

Cited by 17 publications

References 34 publications

Nuclear skin and the curvature of the symmetry energy

Nuclear skin and the curvature of the symmetry energy

Effects of the symmetry energy on the isovector properties of neutron-rich nuclei within a Thomas-Fermi approach

Semiclassical approaches to nuclear dynamics

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