Configuration interaction relativistic Hartree-Fock model

Kavli Affiliate: Jia Liu

| First 5 Authors: Jia Liu, Yi Fei Niu, Wen Hui Long, ,

| Summary:

The configuration interaction relativistic Hartree-Fock (CI-RHF) model is
developed in this work. Compared to the conventional configuration interaction
shell model (CISM), the CI-RHF model can be applied to study the structural
properties of a wide range of nuclei without readjusting any parameters, as the
effective Hamiltonian for different model space can be deduced consistently
from a universal density-dependent Lagrangian based on the Hartree-Fock
single-particle basis. The convergence of intermediate-state excitations has
been examined in evaluating the effective interactions, and the
core-polarization effects are illustrated, by using $^{18}$O as an example.
Employing the CI-RHF model, both the bulk properties and low-lying spectra of
even-even nuclei $^{18sim 28}$Ne have been well reproduced with the model
space restricted to the $sd$ shell. Studies of the isotopic evolution
concerning charge radii and low-lying spectra highlight the shell closure at
$N=14$ for neon isotopes. Furthermore, the cross-shell calculations extending
from the $sd$ to $pf$ shell successfully reproduced the low-lying spectra of
$^{30}$Ne and $^{32}$Ne. Notably, remarkably low excitation energies
$E(2^{+}_{1})$ of $^{30}$Ne suggest the disappearance of the conventional
magicity $N=20$.

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