Effect of temperature on the effective mass and the neutron skin of nuclei

Yüksel, Esra; Khan, E.; Bozkurt, Kutsal

doi:10.1140/epja/i2014-14160-4

Cited by 20 publications

(24 citation statements)

References 36 publications

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“…The mechanism of formation of neutron skin in tin isotopes has been studied in Ref. [37], where the changes in the neutron skin was attributed mainly to the effect of temperature on the occupation probabilities of the single-particle states around the Fermi level. In [37] a more limited Sn isotopic chain up to 120 Sn was considered.…”

Section: Relationships For Calculations Of T -Dependent Symmetry Ementioning

confidence: 99%

“…[37], where the changes in the neutron skin was attributed mainly to the effect of temperature on the occupation probabilities of the single-particle states around the Fermi level. In [37] a more limited Sn isotopic chain up to 120 Sn was considered. Our results for larger A in this chain (from A = 124 to A = 152) also show a slow increase of the neutron skin size.…”

Section: Relationships For Calculations Of T -Dependent Symmetry Ementioning

confidence: 99%

“…[33] through inclusion of second-order gradient corrections to the TF density functionals showed their decisive role in obtaining an excellent agreement with HF results. More recently, Hartree-Fock-Bogoliubov (HFB) models [34][35][36] and a finite-temperature HF+BCS approximation with zero-range Skyrme forces [37] have been developed. A relativistic TF approximation with different relativistic mean-field (RMF) nuclear interactions has been also explored to extract the symmetry energy coefficient for several representative nuclei and to study its temperature dependence [21].…”

Section: Introductionmentioning

confidence: 99%

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Temperature dependence of the symmetry energy and neutron skins in Ni, Sn, and Pb isotopic chains

et al. 2017

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The temperature dependence of the symmetry energy for isotopic chains of even-even Ni, Sn, and Pb nuclei is investigated in the framework of the local density approximation (LDA). The Skyrme energy density functional with two Skyrme-class effective interactions, SkM* and SLy4, is used in the calculations. The temperaturedependent proton and neutron densities are calculated through the HFBTHO code that solves the nuclear SkyrmeHartree-Fock-Bogoliubov problem by using the cylindrical transformed deformed harmonic-oscillator basis. In addition, two other density distributions of 208 Pb, namely the Fermi-type density determined within the extended Thomas-Fermi (TF) method and symmetrized-Fermi local density obtained within the rigorous density functional approach, are used. The kinetic energy densities are calculated either by the HFBTHO code or, for a comparison, by the extended TF method up to second order in temperature (with T 2 term). Alternative ways to calculate the symmetry energy coefficient within the LDA are proposed. The results for the thermal evolution of the symmetry energy coefficient in the interval T = 0-4 MeV show that its values decrease with temperature. The temperature dependence of the neutron and proton root-mean-square radii and corresponding neutron skin thickness is also investigated, showing that the effect of temperature leads mainly to a substantial increase of the neutron radii and skins, especially in the more neutron-rich nuclei, a feature that may have consequences on astrophysical processes and neutron stars.

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Section: Relationships For Calculations Of T -Dependent Symmetry Ementioning

confidence: 99%

Section: Relationships For Calculations Of T -Dependent Symmetry Ementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Temperature dependence of the symmetry energy and neutron skins in Ni, Sn, and Pb isotopic chains

et al. 2017

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“…[9]. The finite-temperature HartreeFock approximation was developed [10,11] and the dependence of nuclear shape transition on the volume was studied by taking 24 Mg as an example [12]. The finite-temperature HartreeFock-Bogoliubov theory was formulated [13] and then applied to the pairing and shape transitions in rare-earth nuclei [14].…”

Section: Introductionmentioning

confidence: 99%

Shape transition with temperature of the pear-shaped nuclei in covariant density functional theory

Zhang¹,

Niu²

2017

Phys. Rev. C

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The shape evolutions of the pear-shaped nuclei 224 Ra and even-even 144−154 Ba with temperature are investigated by the finite-temperature relativistic mean field theory with the treatment of pairing correlations by the BCS approach. The free energy surfaces as well as the bulk properties including deformations, pairing gaps, excitation energy, and specific heat for the global minimum are studied. For 224 Ra, three discontinuities found in the specific heat curve indicate the pairing transition at temperature 0.4 MeV, and two shape transitions at temperatures 0.9 and 1.0 MeV, namely one from quadrupole-octupole deformed to quadrupole deformed, and the other from quadrupole deformed to spherical. Furthermore, the gaps at N =136 and Z =88 are responsible for stabilizing the octupole-deformed global minimum at low temperatures. Similar pairing transition at T ∼0.5MeV and shape transitions at T =0.5-2.2 MeV are found for even-even 144−154 Ba. The transition temperatures are roughly proportional to the corresponding deformations at the ground states.

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“…These two nuclei are benchmark in order to study the mass and neutron excess dependence on the multipole excitations. In the finite temperature mean-field approach, nuclei undergo a sharp phase transition at critical temperatures T c due to the vanishing of the pairing correlations [37,38]. In this work, the critical temperature values are calculated using the FT-HFBCS method: T c = 0.96 and 0.84 MeV for 68 Ni and 120 Sn nuclei, respectively.…”

Section: A Dipole Strength At Finite Temperaturesmentioning

confidence: 99%

Multipole excitations in hot nuclei within the finite temperature quasiparticle random phase approximation framework

et al. 2017

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The effect of temperature on the evolution of the isovector dipole and isoscalar quadrupole excitations in 68 Ni and 120 Sn nuclei is studied within the fully self-consistent finite temperature quasiparticle random phase approximation framework, based on the Skyrme-type SLy5 energy density functional. The new low-energy excitations emerge due to the transitions from thermally occupied states to the discretized continuum at finite temperatures, whereas the isovector giant dipole resonance is not strongly impacted by the increase of temperature. The radiative dipole strength at low energies is also investigated for the 122 Sn nucleus, becoming compatible with the available experimental data when the temperature is included. In addition, both the isoscalar giant quadrupole resonance and low-energy quadrupole states are sensitive to the temperature effect: while the centroid energies decrease in the case of the isoscalar giant quadrupole resonance, the collectivity of the first 2 + state is quenched and the opening of new excitation channels fragments the low-energy strength at finite temperatures.

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Effect of temperature on the effective mass and the neutron skin of nuclei

Cited by 20 publications

References 36 publications

Temperature dependence of the symmetry energy and neutron skins in Ni, Sn, and Pb isotopic chains

Temperature dependence of the symmetry energy and neutron skins in Ni, Sn, and Pb isotopic chains

Shape transition with temperature of the pear-shaped nuclei in covariant density functional theory

Multipole excitations in hot nuclei within the finite temperature quasiparticle random phase approximation framework

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