Reflection asymmetric relativistic mean field approach and its application to the octupole deformed nucleus ${}^{226}$Ra

Abstract

A Reflection ASymmetric Relativistic Mean Field (RAS-RMF) approach is developed by expanding the equations of motion for both the nucleons and the mesons on the eigenfunctions of the two-center harmonic-oscillator potential. The efficiency and reliability of the RAS-RMF approach are demonstrated in its application to the well-known octupole deformed nucleus ${}^{226}$Ra and the available data, including the binding energy and the deformation parameters, are well reproduced.

4 pages, 2 figures, and 2 tables, to appear in Chinese Physics Letters

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• Microscopic core-quasiparticle coupling model for spectroscopy of odd-mass nuclei with octupole correlations
• Microscopic analysis of octupole shape transitions in neutron-rich actinides with relativistic energy density functional
• Octupole deformation for Ba isotopes in a reflection-asymmetric relativistic mean-field approach
• Pairing gaps and Fermi energies at scission for 296Lv alpha-decay
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• Resolving the spurious-state problem in the Dirac equation with finite difference method
• Generator coordinate method for nuclear octupole excitations: status and perspectives
• Multi-dimensional potential energy surfaces and non-axial octupole correlations in actinide and transfermium nuclei from relativistic mean field models
• Ground state and fission properties of even-$A$ uranium isotopes from multidimensionally-constrained relativistic mean field model
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• Two-center harmonic oscillator basis for Skyrme-DFT calculations (I): formalism and Proof of Principle