Calculation of β-decay rates in a relativistic model with momentum-dependent self-energies

Marketin, Tomislav; Vretenar, Dario; Ring, P.

doi:10.1103/physrevc.75.024304

Cited by 81 publications

(109 citation statements)

References 21 publications

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“…Experimentally, the isoscalar effective mass m * s and the isovector effective mass m * v at normal nuclear density ρ 0 have been constrained to be m * s,0 ≈ 0.8m and m * v,0 ≈ 0.7m, respectively [42,91,92,[98][99][100][101][102][103]. With these constrained values for the isoscalar and isovector effective masses, Eq.…”

Section: A Isospin-and Momentum-dependent MDI Interactionmentioning

confidence: 99%

Higher-order effects on the incompressibility of isospin asymmetric nuclear matter

et al. 2009

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Analytical expressions for the saturation density of asymmetric nuclear matter as well as its binding energy and incompressibility at saturation density are given up to fourth order in the isospin asymmetry δ = (ρ n − ρ p )/ρ using 11 characteristic parameters defined by the density derivatives of the binding energy per nucleon of symmetric nuclear matter, the symmetry energy E sym (ρ), and the fourth-order symmetry energy E sym,4 (ρ) at normal nuclear density ρ 0 . Using an isospin-and momentum-dependent modified Gogny interaction (MDI) and the Skyrme-Hartree-Fock (SHF) approach with 63 popular Skyrme interactions, we have systematically studied the isospin dependence of the saturation properties of asymmetric nuclear matter, particularly the incompressibilityat saturation density. Our results show that the magnitude of the higher order K sat,4 parameter is generally small compared to that of the K sat,2 parameter. The latter essentially characterizes the isospin dependence of the incompressibility at saturation density and can be expressed asL, where L and K sym represent, respectively, the slope and curvature parameters of the symmetry energy at ρ 0 and J 0 is the third-order derivative parameter of symmetric nuclear matter at ρ 0 . Furthermore, we have constructed a phenomenological modified Skyrme-like (MSL) model that can reasonably describe the general properties of symmetric nuclear matter and the symmetry energy predicted by both the MDI model and the SHF approach. The results indicate that the higher order J 0 contribution to K sat,2 generally cannot be neglected. In addition, it is found that there exists a nicely linear correlation between K sym and L as well as between J 0 /K 0 and K 0 . These correlations together with the empirical constraints on K 0 , L, E sym (ρ 0 ), and the nucleon effective mass lead to an estimate of K sat,2 = −370 ± 120 MeV.

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Section: A Isospin-and Momentum-dependent MDI Interactionmentioning

confidence: 99%

Higher-order effects on the incompressibility of isospin asymmetric nuclear matter

et al. 2009

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“…We note that the difference between the nucleon vector and scalar self-energies determines the spin-orbit potential, whereas their sum defines the effective single-nucleon potential and is constrained by the nuclear matter binding energy at saturation density. From the energy spacings between spinorbit partner states in finite nuclei, the constraint 0.55 M ≤ M * Dirac ≤ 0.6 M has been obtained on the value of the Dirac mass [93,94].…”

Section: Nucleon Effective Massmentioning

confidence: 99%

Isospin-dependent properties of asymmetric nuclear matter in relativistic mean field models

2007

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Using various relativistic mean-field models, including the nonlinear ones with meson field selfinteractions, those with density-dependent meson-nucleon couplings, and the point-coupling models without meson fields, we have studied the isospin-dependent bulk and single-particle properties of asymmetric nuclear matter. In particular, we have determined the density dependence of nuclear symmetry energy from these different relativistic mean-field models and compare the results with the constraints recently extracted from analyses of experimental data on isospin diffusion and isotopic scaling in intermediate-energy heavy ion collisions as well as from measured isotopic dependence of the giant monopole resonances in even-A Sn isotopes. Among the 23 parameter sets in the relativistic mean-filed model that are commonly used for nuclear structure studies, only a few are found to give symmetry energies that are consistent with the empirical constraints. We have also studied the nuclear symmetry potential and the isospin-splitting of the nucleon effective mass in isospin asymmetric nuclear matter. We find that both the momentum dependence of the nuclear symmetry potential at fixed baryon density and the isospin-splitting of the nucleon effective mass in neutron-rich nuclear matter depend not only on the nuclear interactions but also on the definition of the nucleon optical potential.

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“…The available continuum QRPA calculations with DF3a agree well with the half-lives of both Fe and Zn isotopes. The overestimation of half-lives for Ni isotopes with neutron number before N = 50 shell closure is a common problem in self-consistent relativistic QRPA calculations, which is also found in RHB+QRPA model with the meson-exchange effective interactions [24,25,27]. By increasing the nucleon effective mass, half-lives of Ni isotopes can be reduced, hence become close to the experimental data.…”

mentioning

confidence: 78%

“…By increasing the nucleon effective mass, half-lives of Ni isotopes can be reduced, hence become close to the experimental data. However, the increase of m * in relativistic model is limited by a realistic description of nuclear matter equation of state and ground-state properties of finite nuclei [24,25]. Therefore, some other effects in mean field framework, such as tensor force, and the effects beyond the mean field, such as the particle vibration coupling effect, should be investigated for better reproducing nuclear β-decay half-lives.…”

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confidence: 99%

Nuclearβ-decay half-lives in the relativistic point-coupling model

Wang

Niu

et al. 2016

J. Phys. G: Nucl. Part. Phys.

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The self-consistent proton-neutron quasiparticle random phase approximation approach is employed to calculate β-decay half-lives of neutron-rich even-even nuclei with 8 Z 30. A newly proposed nonlinear point-coupling effective interaction PC-PK1 is used in the calculations. It is found that the isoscalar proton-neutron pairing interaction can significantly reduce β-decay half-lives. With an isospin-dependent isoscalar proton-neutron pairing strength, our results well reproduce the experimental β-decay half-lives, although the pairing strength is not adjusted using the half-lives calculated in this study.

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Calculation of β-decay rates in a relativistic model with momentum-dependent self-energies

Cited by 81 publications

References 21 publications

Higher-order effects on the incompressibility of isospin asymmetric nuclear matter

Higher-order effects on the incompressibility of isospin asymmetric nuclear matter

Isospin-dependent properties of asymmetric nuclear matter in relativistic mean field models

Nuclearβ-decay half-lives in the relativistic point-coupling model

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