On the difference between proton and neutron spin-orbit splittings in nuclei

Isakov, V. I.; Erokhina, K.I.; Mach, H.; Sanchez‐Vega, M.; Fogelberg, B.

doi:10.1140/epja/iepja1393

Cited by 28 publications

(3 citation statements)

References 30 publications

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“…6, in comparison with the empirical data in Ref. [33]. The values of the effective Landau mass at the Fermi momentum are 0.69, 0.72, 0.66, and 0.67 for NLD1, NLD2, NL3, and FSUGold, respectively.…”

Section: B Finite Nucleisupporting

confidence: 57%

Relativistic mean-field model with nonlinear derivative couplings for nuclear matter and nuclei

Chen

2014

Phys. Rev. C

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I have proposed two parameter sets, NLD1 and NLD2, for the Lagrangian with nonlinear derivative couplings in the relativistic mean-field theory. Properties of nuclear matter and finite nuclei are explored. It is shown that this Lagrangian model can lead to a softening of the equation of state and symmetry energy at high densities. Two trends for the high-density behavior of symmetry energy are obtained with NLD1 and NLD2. These two sets also give a much less repulsive Schrödinger equivalent optical potential at high nucleon energies compared to standard relativistic mean-field models and reproduce the experimental data very well. The study also shows that a good description of ground-state properties of nuclei is achieved with this Lagrangian.

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Section: B Finite Nucleisupporting

confidence: 57%

Relativistic mean-field model with nonlinear derivative couplings for nuclear matter and nuclei

Chen

2014

Phys. Rev. C

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“…A variety of parameterizations of the WS potential exists (see, e.g., Refs. [43][44][45][46], Table II in Ref. [47] and Table I in Ref.…”

Section: The Theoretical Framework: Microscopic Energy and The Nuclea...mentioning

confidence: 99%

Global calculations of microscopic energies and nuclear deformations: Isospin dependence of the spin-orbit coupling

Wyss

et al. 2015

Phys. Rev. C

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Background:The deviation between different model calculations that may occur when one goes toward regions where the masses are unknown is getting increased attention. This is related to the uncertainties of the different models which may have not been fully understood.Purpose: To explore in detail the effect of the isospin dependence of the spin-orbital force in the Woods-Saxon potential on global binding energy and deformation calculations. Method:The microscopic energies and nuclear deformations of about 1850 even-even nuclei are calculated systematically within the macroscopic-microscopic framework using three Woods-Saxon parameterizations, with different isospin dependences, which were constructed mainly for nuclear spectroscopy calculations. Calculations are performed in the deformation space (β2, γ, β4). Both the monopole and doubly stretched quadrupole interactions are considered for the pairing channel.Results: The ground state deformations obtained by the three calculations are quite similar to each other. Large differences are seen mainly in neutron-rich nuclei and in superheavy nuclei. Systematic calculations on the shapecoexisting second minima are also presented. As for the microscopic energies of the ground states, the results are also very close to each other. Only in a few cases the difference is larger than 2 MeV. The total binding energy is estimated by adding the macroscopic energy provided by the usual liquid drop model with its parameters fitted through the least square root and minimax criteria. Calculations are also compared with the results of other macroscopic-microscopic mass models.Conclusions: All the three calculations give similar values for the deformations, microscopic energies and binding energies of most nuclei. One may expect to have a better understanding of the isospin dependence of the spinorbital force with more data on proton-and neutron-rich nuclei.

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“…[22,23]) to be about 5 MeV below the higher spin-orbit partner orbitals πνf 5/2 . The energies of the proton π (g 7/2 , d, s, h 11/2 ) orbitals were taken to be the same as those empirically deduced for neutrons, relative to the πνg 9/2 orbitals, in the absence of residual interactions.…”

Section: Comparison With Shell-model Calculationsmentioning

confidence: 93%