2017
DOI: 10.1103/physrevc.95.034311
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Nuclear energy density functional and the nuclear α decay

Abstract: The nuclear α decay of heavy nuclei is investigated based on the nuclear energy density functional, which leads to the α potential inside the parent nucleus in terms of the proton and neutron density profiles of the daughter nucleus. We use the Skyrme force model, Gogny force model, and relativistic mean field model to get the nucleon density profiles inside heavy nuclei. Once the nucleon density profiles are determined, the parameters of the nuclear α potential are fitted to the observed α decay half-lives of… Show more

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Cited by 12 publications
(20 citation statements)
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“…16 summarizes several of the constraints on the neutron skin thickness of 208 Pb from both nuclear experiment and mean field model calculations. For the mean field theory calculations, we obtained [72,125] Skyrme parameters fitted to the neutron matter equation of state from chiral effective field theory [76,78] and the binding energies of doubly-closed-shell nuclei. From nuclear experiments, we see that the overlapping region of neutron skin has the boundary, 0.16 < ∆ R np < 0.18 fm, which implies that 40 ≤ L ≤ 60 MeV.…”
Section: Resultsmentioning
confidence: 99%
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“…16 summarizes several of the constraints on the neutron skin thickness of 208 Pb from both nuclear experiment and mean field model calculations. For the mean field theory calculations, we obtained [72,125] Skyrme parameters fitted to the neutron matter equation of state from chiral effective field theory [76,78] and the binding energies of doubly-closed-shell nuclei. From nuclear experiments, we see that the overlapping region of neutron skin has the boundary, 0.16 < ∆ R np < 0.18 fm, which implies that 40 ≤ L ≤ 60 MeV.…”
Section: Resultsmentioning
confidence: 99%
“…A common framework is to employ polytropic equations of state [64][65][66][67], which have the freedom to change the adiabatic index and account for the possibility of phase transitions at specified densities. In addition, Skyrme Hartee-Fock or relativistic mean field (RMF) models [40,[68][69][70][71][72], whose parameters are fitted to the properties of finite nuclei close to saturation density, are generally extrapolated to much higher densities in order to study the mass-radius relationship for neutron stars.…”
Section: Equation Of Statementioning
confidence: 99%
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“…Note that we use the same energy density functional for f i and f no as used in the bulk matter EOS. By applying the Lagrange multiplier method with the constraints for baryon and charge number density, we have [82]…”
Section: Parameterized Nuclear Energy Density Functionalmentioning
confidence: 99%
“…In the second case there is a significant free neutron fraction Y n ≈ 0.8 and a broad neutron distribution is clearly seen. We refer the reader to References [35,44] and more recent works [62,[65][66][67] for a detailed discussion of the inner crust composition in the absence of accretion.…”
Section: Pristine Crust Compositionmentioning
confidence: 99%