Optimal parametrization for the relativistic mean-field model of the nucleus

The parameters of the nuclear liquid drop model, such as the volume, surface, symmetry, and curvature constants, as well as bulk radii, are extracted from the nonrelativistic and relativistic energy density functionals used in microscopic calculations for finite nuclei. The microscopic liquid drop energy, obtained self-consistently for a large sample of finite, spherical nuclei, has been expanded in terms of powers of A −1/3 (or inverse nuclear radius) and the isospin excess (or neutron-to-proton asymmetry). In order to perform a reliable extrapolation in the inverse radius, the calculations have been carried out for nuclei with huge numbers of nucleons, of the order of 10 6 . The Coulomb interaction has been ignored to be able to approach nuclei of arbitrary sizes and to avoid radial instabilities characteristic of systems with very large atomic numbers. The main contribution to the fluctuating part of the binding energy has been removed using the Green's function method to calculate the shell correction. The limitations of applying the leptodermous expansion to actual nuclei are discussed. While the leading terms in the macroscopic energy expansion can be extracted very precisely, the higher-order, isospin-dependent terms are prone to large uncertainties due to finite-size effects.

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“…Bulk NL-Z [36], NL-Z2 [37], and NL3 [38]. The parametrization NL1 is a fit of the RMF along the strategy of Ref.…”

Section: Modelmentioning

confidence: 99%

From finite nuclei to the nuclear liquid drop: Leptodermous expansion based on self-consistent mean-field theory

et al. 2006

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“…So far the procedure corresponds to the method employed in calculations assuming spherical symmetry [19]. Using the discretization in a cartesian box, however, requires a different treatment of angular momentum and spin-orbit terms.…”

Section: B Solving the Triaxial Dirac Equationmentioning

confidence: 99%

Nuclear matter in the crust of neutron stars

2007

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The properties of inhomogeneous nuclear matter are investigated considering the self-consistent Skyrme Hartree-Fock approach with inclusion of pairing correlations. For a comparison we also consider a relativistic mean field approach. The inhomogeneous infinite matter is described in terms of cubic Wigner-Seitz cells, which leads to a smooth transition to the limit of homogeneous nuclear matter. The possible existence of various structures in the so-called pasta phase is investigated within this self-consistent approach and a comparison is made to results obtained within the Thomas-Fermi approximation. Results for the proton abundances and the pairing properties are discussed for densities for which clustering phenomena are obtained.

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“…As part of an extensive optimization analysis of conventional QHD models, Rufa et al considered including an isoscalar tensor coupling [18]. They noted the trade-off between the magnitude of the spin-orbit splitting and the size of the scalar field.…”

Section: Tensor Coupling and Spin-orbit Splittingmentioning

confidence: 99%

The nuclear spin-orbit force in chiral effective field theories

1998

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A compelling feature of relativistic mean-field phenomenology has been the reproduction of spin-orbit splittings in finite nuclei after fitting only to equilibrium properties of infinite nuclear matter. This successful result occurs when the velocity dependence of the equivalent central potential that leads to saturation arises primarily because of a reduced nucleon effective mass. The spin-orbit interaction is then also specified when one works in a fourcomponent Dirac framework. Here the nature of the spin-orbit force in more general chiral effective field theories of nuclei is examined, with an emphasis on the role of the tensor coupling of the isoscalar vector meson (ω) to the nucleon.

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Optimal parametrization for the relativistic mean-field model of the nucleus

Cited by 167 publications

References 27 publications

From finite nuclei to the nuclear liquid drop: Leptodermous expansion based on self-consistent mean-field theory

From finite nuclei to the nuclear liquid drop: Leptodermous expansion based on self-consistent mean-field theory

Nuclear matter in the crust of neutron stars

The nuclear spin-orbit force in chiral effective field theories

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