Finite- to zero-range relativistic mean-field interactions

Abstract

We study the relation between the finite-range (meson-exchange) and zero-range (point-coupling) representations of effective nuclear interactions in the relativistic mean-field framework. Starting from the phenomenological interaction DD-ME2 with density-dependent meson-nucleon couplings, we construct a family of point-coupling effective interactions for different values of the strength parameter of the isoscalar-scalar derivative term. In the meson-exchange picture this corresponds to different values of the $\sigma$-meson mass. The parameters of the isoscalar-scalar and isovector-vector channels of the point-coupling interactions are adjusted to nuclear matter and ground-state properties of finite nuclei. By comparing results for infinite and semi-infinite nuclear matter, ground-state masses, charge radii, and collective excitations, we discuss constraints on the parameters of phenomenological point-coupling relativistic effective interaction.

25 pages, 5 figures, accepted for publication in Physical Review C

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• Description of the Giant Monopole Resonance in the Even-A ${}^{112-124}$Sn Isotopes within the Microscopic Model Including Quasiparticle-Phonon Coupling
• Current Developments in Nuclear Density Functional Methods
• Spin-orbit interaction in relativistic nuclear structure models
• Charmed hypernuclei within density-dependent relativistic mean-field theory
• Stability of the manifold boundary approximation method for reductions of nuclear structure models
• Classical and Bayesian error analysis of the relativistic mean-field model for doubly magic nuclei