<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msup><mml:mi>I</mml:mi><mml:mn>4</mml:mn></mml:msup></mml:math>dependence in nuclear symmetry energy

Jiang, Hui; Bao, M.; Chen, Lie‐Wen; Zhao, Y. M.

doi:10.1103/physrevc.90.064303

Cited by 30 publications

(42 citation statements)

References 52 publications

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“…Very recently, Jiang et al [55] extracted the coefficient of the I 4 term with the double difference of the symmetry energy term together with the measured masses (AME2012) [56], and a value of a (4) sym = 3.28 MeV was obtained. Here, we also show in Fig.…”

Section: Resultsmentioning

confidence: 99%

Mass dependence of symmetry energy coefficients in the Skyrme force

et al. 2015

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Based on the semi-classical extended Thomas-Fermi approach, we study the mass dependence of the symmetry energy coefficients of finite nuclei for 36 different Skyrme forces. The reference densities of both light and heavy nuclei are obtained. Eight models based on nuclear liquid drop concept and the Skyrme force SkM* suggest the symmetry energy coefficient a sym = 22.90 ± 0.15 MeV at A = 260, and the corresponding reference density is ρ A ≃ 0.1 fm −3 at this mass region. The standard Skyrme energy density functionals give negative values for the coefficient of the I 4 term in the binding energy formula, whereas the latest Weizsäcker-Skyrme formula and the experimental data suggest positive values for the coefficient. * wangning@gxnu.edu.cn

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Section: Resultsmentioning

confidence: 99%

Mass dependence of symmetry energy coefficients in the Skyrme force

et al. 2015

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“…[24], the kinetic part of E sym,4 (ρ 0 ) is predicted to be 7.18 ± 2.52 MeV by considering the high-momentum tail in the single-nucleon momentum distributions based on an interacting Fermi gas model that could be due to short-range correlations of nucleon-nucleon interactions. Most recently, a significantly large value of E sym,4 (ρ 0 ) = 20.0 ± 4.6 is estimated within an extended semi-empirical nuclear mass formula [25] by analyzing the fourth-order symmetry energy of finite nuclei [26][27][28][29] extracted from nuclear mass data. Given such a large uncertainty, a systematic study on the fourth-order symmetry energy is therefore critically important, and this provides the main motivation of the present work.…”

Section: Introductionmentioning

confidence: 99%

Nuclear matter fourth-order symmetry energy in nonrelativistic mean-field models

Zhang

Chen

2017

Phys. Rev. C

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Background: Nuclear matter fourth-order symmetry energy Esym,4(ρ) may significantly influence the properties of neutron stars such as the core-crust transition density and pressure as well as the proton fraction at high densities. The magnitude of Esym,4(ρ) is, however, largely uncertain. Purpose: Based on systematic analyses of several popular non-relativistic energy density functionals with mean-field approximation, we estimate the value of the Esym,4(ρ) at nuclear normal density ρ0 and its density dependence, and explore the correlation between Esym,4(ρ0) and other macroscopic quantities of nuclear matter properties. Method: We use the empirical values of some nuclear macroscopic quantities to construct model parameter sets by Monte Carlo method for four different energy density functionals with mean-field approximation, namely, the conventional Skyrme-Hartree-Fock (SHF) model, the extended SkyrmeHartree-Fock (eSHF) model, the Gogny-Hartree-Fock (GHF) model, and the momentum-dependent interaction (MDI) model. With the constructed samples of parameter sets, we can estimate the density dependence of Esym,4(ρ) and analyze the correlation of Esym,4(ρ0) with other macroscopic quantities.Results: The value of Esym,4(ρ0) is estimated to be 1.02 ± 0.49 MeV for the SHF model, 1.02 ± 0.50 MeV for the eSHF model, 0.70 ± 0.60 MeV for the GHF model, and 0.74 ± 0.63 MeV for the MDI model. Moreover, our results indicate that the density dependence of Esym,4(ρ) is model dependent, especially at higher densities. Furthermore, we find that the Esym,4(ρ0) has strong positive (negative) correlation with isoscalar (isovector) nucleon effective mass m * s,0 (m * v,0 ) at ρ0. In particular, for the SHF and eSHF models, the Esym,4(ρ) is completely determined by the isoscalar and isovector nucleon effective masses m * s (ρ) and m * v (ρ), and the analytical expression is given. Conclusions: In the mean-field models, the magnitude of Esym,4(ρ0) is generally less than 2 MeV, and its density dependence depends on models, especially at higher densities. Esym,4(ρ0) is strongly correlated with m * s,0 and m * v,0 .

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“…To study the spin dynamics, the quadratic Zeeman energy q should be suddenly tuned. This can be experimentally achieved by controlling a magnetic field or a microwave pulse, since q = q M + q B , where q M and q B are the quadratic Zeeman energy induced by the microwave pulse and magnetic field, respectively [52][53][54]. During the preparation of the initial state, we fix the magnetic field so that its contribution to the quadratic Zeeman energy is equal to our final quadratic Zeeman energy q f , i.e., q f = q B ∝ B 2 , which can be easily identified by measuring the Zeeman splitting induced by the magnetic field B.…”

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Observation of Dynamical Quantum Phase Transitions with Correspondence in an Excited State Phase Diagram

et al. 2020

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Dynamical quantum phase transitions are closely related to equilibrium quantum phase transitions for ground states. Here, we report an experimental observation of a dynamical quantum phase transition in a spinor condensate with correspondence in an excited state phase diagram, instead of the ground state one. We observe that the quench dynamics exhibits a non-analytical change with respect to a parameter in the final Hamiltonian in the absence of a corresponding phase transition for the ground state there. We make a connection between this singular point and a phase transition point for the highest energy level in a subspace with zero spin magnetization of a Hamiltonian. We further show the existence of dynamical phase transitions for finite magnetization corresponding to the phase transition of the highest energy level in the subspace with the same magnetization. Our results open a door for using dynamical phase transitions as a tool to probe physics at higher energy eigenlevels of many-body Hamiltonians.

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I4dependence in nuclear symmetry energy

Abstract: In this paper we investigate the possible I 4 dependence [I = (N − Z)/A] in "experimental" symmetry energy extracted from nuclear masses. Our results show that the inclusion of the I 4 term in mass formulas leads to sizable changes for symmetry energy coefficients of the I 2 terms.

Cited by 30 publications

References 52 publications

Mass dependence of symmetry energy coefficients in the Skyrme force

Mass dependence of symmetry energy coefficients in the Skyrme force

Nuclear matter fourth-order symmetry energy in nonrelativistic mean-field models

Observation of Dynamical Quantum Phase Transitions with Correspondence in an Excited State Phase Diagram

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