Study of Proton Magic Even-Even Isotopes and Giant Halos of Ca Isotopes with Relativistic Continuum Hartree-Bogoliubov Theory

Abstract

We study the proton magic O, Ca, Ni, Zr, Sn, and Pb isotope chains from the proton drip line to the neutron drip line with the relativistic continuum Hartree-Bogoliubov (RCHB) theory. Particulary, we study in detail the properties of even-even Ca isotopes due to the appearance of giant halos in neutron rich Ca nuclei near the neutron drip line. The RCHB theory is able to reproduce the experimental binding energies $E_b$ and two neutron separation energies $S_{2n}$ very well. The predicted neutron drip line nuclei are ${}^{28}$O, ${}^{72}$Ca, ${}^{98}$Ni, ${}^{136}$Zr, ${}^{176}$Sn, and ${}^{266}$Pb, respectively. Halo and giant halo properties predicted in Ca isotopes with $A>60$ are investigated in detail from the analysis of two neutron separation energies, nucleon density distributions, single particle energy levels, the occupation probabilities of energy levels including continuum states. The spin-orbit splitting and the diffuseness of nuclear potential in these Ca isotopes are studied also. Furthermore, we study the neighboring lighter isotopes in the drip line Ca region and find some possibility of giant halo nuclei in the Ne-Na-Mg drip line nuclei.

arXiv comment45 pages, 20 figures

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• The pseudo-spin symmetry in Zr and Sn isotopes from the proton drip line to the neutron drip line
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• Particles in classically forbidden area, neutron skin and halo, and pure neutron matter in Ca isotopes
• Neutron rich nuclei in density dependent relativistic Hartree-Fock theory with isovector mesons

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• Predictive power for superheavy nuclear mass and possible stability beyond the neutron drip line in deformed relativistic Hartree-Bogoliubov theory in continuum
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• Green's function method for single-particle resonant states in relativistic mean field theory
• Persistent contribution of unbound quasiparticles to the pair correlation in continuum Skyrme-Hartree-Fock-Bogoliubov approach
• Green's function method for the single-particle resonances in a deformed Dirac equation
• Green's function relativistic mean field theory for $\Lambda$ hypernuclei
• Giant neutron halos in the non-relativistic mean field approach
• Multipole expansion of densities in the deformed relativistic Hartree-Bogoliubov theory in continuum
• Green's function method for the spin and pseudospin symmetries in the single-particle resonant states
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• Influence of pairing correlations on the radius of neutron-rich nuclei
• Triaxial relativistic Hartree-Bogoliubov theory in continuum for exotic nuclei
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• Impact of intrinsic electromagnetic structure on the nuclear charge radius in relativistic density functional theory
• Extending the nuclear chart by continuum: from oxygen to titanium