A systematic study of Zr and Sn isotopes in the Relativistic Mean Field theory

Abstract

The ground-state properties of Zr and Sn isotopes are studied within the relativistic mean field theory. Zr and Sn isotopes have received tremendous attention due to various reasons, including the predicted giant halos in the neutron-rich Zr isotopes, the unique feature of being robustly spherical in the region of ${}^{100}$Sn $\sim$ ${}^{132}$Sn and the particular interest of Sn isotopes to nuclear astrophysics. Furthermore, four (semi-) magic neutron numbers, 40, 50, 82 and 126, make these two isotopic chains particularly important to test the pairing correlations and the deformations in a microscopic model. In the present work, we carry out a systematic study of Zr and Sn isotopes from the proton drip line to the neutron drip line with deformation effects, pairing correlations and blocking effects for nuclei with odd number of neutrons properly treated. A constrained calculation with quadrupole deformations is performed to find the absolute minimum for each nucleus on the deformation surface. All ground-state properties, including the separation energies, the odd-even staggerings, the nuclear radii, the deformations and the single-particle spectra are analyzed and discussed in detail.

arXiv commentthe final version to appear in Modern Physics Letters A. more figures, discussions, and references added. the data remain unchanged

References in corpus (8)

• Nuclear Ground-State Masses and Deformations
• A Giant Halo at the Neutron Drip Line
• Odd-Even Staggering of Nuclear Masses: Pairing or Shape Effect?
• Equilibrium shapes and high-spin properties of the neutron-rich A~100 nuclei
• Relativistic mean field theory for deformed nuclei with pairing correlations
• Proton and neutron skins of light nuclei within the Relativistic Mean Field theory
• The surface diffuseness and the spin-orbital splitting in relativistic continuum Hartree-Bogoliubov theory
• Hartree-Fock-Bogoliubov calculation of charge radii of Sn, Ba, Yb, and Pb isotopes

Cited by in corpus (10)

• Masses, Deformations and Charge Radii--Nuclear Ground-State Properties in the Relativistic Mean Field Model
• Deformed relativistic Hartree-Bogoliubov theory in continuum with a point-coupling functional. II. Examples of odd Nd isotopes
• New analysis method of the halo phenomenon in finite many-fermion systems. First applications to medium-mass atomic nuclei
• Halo phenomenon in finite many-fermion systems. Atom-positron complexes and large-scale study of atomic nuclei
• Predicting magic numbers of nuclei with semi-realistic nucleon-nucleon interactions
• Tetrahedral correlations in ${}^{80}$Zr and ${}^{98}$Zr
• Properties of exotic nuclei and their linkage to the nucleonic interaction
• Nuclear structure investigation of even-even Sn isotopes within the covariant density functional theory
• A systematic study of neutron magic nuclei with N = 8, 20, 28, 50, 82, and 126 in the relativistic mean field theory
• Ground state properties and shape evolution in Pt isotopes within the covariant density functional theory