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The Isovector Channel of the Energy Density Functional

【摘要】:正Both relativistic and non-relativistic energy density functional models have been widely used in describing the nuclear many-body system.Systematical calculations show that both relativistic and non-relativistic models give quite similar results for the ground state properties and low-energy dynamics of stable nuclei.However,significant differences are found when calculations go to the extreme cases of high isospin and high density.The origin of these differences is still not clear.The non-relativistic Skyrme-Hartree-Fock (SHF) model has been extensively employed in the investigation of nuclear structure since the first work of Vautherin and Brink.In 1970s,almost at the same time as SHF,the Relativistic-Mean-Field(RMF) model was developed to give a competitive description of finite nuclei.The relativistic Quark-Meson-Coupling model(QMC) was proposed by Guichon.However,the Hartree approximation is usually used in both RMF and QMC models.The real treatment of the Fock term remains interesting.Detailed comparisons between relativistic models within the non-relativistic Hartree-Fock approximation and the Skyrme model can be instructive in clearing the picture.In this work,we compare the non-relativistic approximations of the QMC and RMF models and SHF models,with focusing on possible relationship.We list the QMC energy density functional within the Hartree-Fock approximation and make comparison with RMF and Skyrme models.We find that the discrepancy of these models is mainly caused by the isovector channel of the energy density functional.A new Skyrme parametrization is obtained by the comparison.We also give the calculation results of the new parametrization.

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