Parameter optimization for the latest quark-meson coupling energy-density functional

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2019

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Martinez, K.L.
Thomas, A.W.
Stone, J.R.
Guichon, P.A.M.

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Physical Review C (nuclear physics), 2019; 100(2):024333-1-024333-16

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K.L. Martinez, A.W. Thomas, J.R. Stone, P.A.M. Guichon

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Abstract

The quark-meson-coupling (QMC) model self-consistently relates the dynamics of the internal quark structure of a hadron to the relativistic mean fields arising in nuclear matter. It offers a natural explanation to some open questions in nuclear theory, including the origin of many-body nuclear forces and their saturation, the spin-orbit interaction, and properties of hadronic matter at a wide range of densities. The QMC energy density functionals QMC-I and QMCπ-I have been successfully applied to calculate ground state observables of finite nuclei in the Hartree-Fock + BCS approximation, as well as to predict properties of dense nuclear matter and cold nonrotating neutron stars. Here we report the latest development of the model, QMCπ-II, which includes higher order terms in density in the expansion of the relativistic energy-density functional, as well as the self-interaction of the σ meson. A derivative-free optimization algorithm has been employed to determine a new set of the model parameters and their statistics, including errors and correlations. QMCπ-II predictions for a wide range of properties of even-even nuclei across the nuclear chart, with fewer adjustable parameters, are comparable with other models. The nuclear incompressibility is significantly reduced in this version, leading to a description of giant monopole resonances which is consistent with experimental data.

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©2019 American Physical Society

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