From homogeneous matter to finite nuclei: Role of the effective mass

Abstract

Recent astronomical observations, nuclear-reaction experiments, and microscopic calculations have placed new constraints on the nuclear equation of state (EoS) and revealed that most nuclear structure models fail to satisfy those constraints upon extrapolation to infinite matter. A reverse procedure for imposing EoS constraints on nuclear structure has been elusive. Here we present for the first time a method to generate a microscopic energy density functional (EDF) for nuclei from a given immutable EoS. The method takes advantage of a natural Ansatz for homogeneous nuclear matter, the Kohn-Sham framework, and the Skyrme formalism. We apply it to the realistic nuclear EoS of Akmal-Pandharipande-Ravenhall and describe successfully closed-(sub)shell nuclei. In the process, we provide predictions for the neutron skin thickness of nuclei based directly on the given EoS. Crucially, bulk and static nuclear properties are found practically independent of the assumed effective mass value - a unique result in bridging EDF of finite and homogeneous systems in general.

arXiv commentv3 (some typos corrected, esp. Table I and Fig. 4): 8 pages, incl. 5 figures, 1 table

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Cited by in corpus (19)

• Dense Nuclear Matter Equation of State from Heavy-Ion Collisions
• Constraints on the curvature of nuclear symmetry energy from recent astronomical data within the KIDS framework
• Constraining the density dependence of the symmetry energy with nuclear data and astronomical observations in the KIDS framework
• Bayesian inference of neutron-star observables based on effective nuclear interactions
• Analysis of nuclear structure in a converging expansion scheme
• Bayesian inference of finite-nuclei observables based on the KIDS model
• Quasi-elastic electron scattering with KIDS nuclear energy density functional
• Quasielastic Charged-Current Neutrino-Nucleus Scattering with Nonrelativistic Nuclear Energy Density Functionals
• Inclusive electron scattering in the quasielastic region with Korea-IBS-Daegu-SKKU density functional
• Application of an ab-initio-inspired energy density functional to nuclei: impact of the effective mass and the slope of the symmetry energy on bulk and surface properties
• Effects of Many-body Interactions in Hypernuclei with Korea-IBS-Daegu-SKKU Functionals
• Composition of scalar mesons and their effects on nuclear matter properties in an extended linear sigma model
• KIDS density functional for deformed nuclei: Examples of the even-even Nd isotopes
• Neutron star equation of state and tidal deformability with nuclear energy density functionals
• Influence of the effective mass on the properties of nuclear matter at finite density and temperature
• New Skyrme parametrizations to describe finite nuclei and neutron star matter with realistic effective masses
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• New Skyrme parametrizations to describe finite nuclei and neutron star matter with realistic effective masses. II. Adjusting the spin-dependent terms
• Analysis of elastic $\alpha$-${}^{12}$C scattering with global optimization in the cluster effective field theory