Prediction of the excitation energies of the 2${}_1^{+}$ states for superheavy nuclei based on the microscopically derived Grodzins relation

Abstract

As the result of synthesis of nuclei with large proton numbers a new region of investigations of the structure of nuclei has been discovered. Due to the recent significant increase in the yield of superheavy nuclei their gamma-spectroscopic studies became possible. The purpose of paper is to predict the excitation energies of the $2_1^{+}$ states of nuclei with Z$\ge 100$ using the microscopic variant of the Grodzins relation derived based on the geometrical collective model. The excitation energies of the $2_1^{+}$ states of the even-even nuclei from ${}^{256}$Fm to ${}_{120}^{296}$X which differ from each other in the number of $\alpha$-particles are predicted. It is shown that at the beginning of the chain of the studied nuclei the excitation energies of the $2_1^{+}$ states don't exceed 100 keV. Then $E(2_1^{+})$ sharply increases with $A$ and reaches maximum value of $400-500$ keV in ${}^{284}$Fl or ${}^{292}$Og.

arXiv comment7 pages, 2 figures

References in corpus (18)

• Nuclear Ground-State Masses and Deformations
• A New Parameterization for the Lagrangian Density of Relativistic Mean Field Theory
• Nuclear ground-state masses and deformations: FRDM(2012)
• Shell structure of superheavy nuclei in self-consistent mean-field models
• Structure of even-even nuclei using a mapped collective Hamiltonian and the D1S Gogny interaction
• The pseudo-spin symmetry in Zr and Sn isotopes from the proton drip line to the neutron drip line
• Spin symmetry in the anti-nucleon spectrum
• Density-Dependent Relativistic Hartree-Fock Approach
• Spherical Relativistic Hartree theory in a Woods-Saxon basis
• Shell Corrections of Superheavy Nuclei in Self-Consistent Calculations
• New Result in the Production and Decay of an Isotope, 278[113], of the 113th Element
• Fission half-lives of super-heavy nuclei in a microscopic approach
• Multidimensionally-constrained covariant density functional theories --- nuclear shapes and potential energy surfaces
• Covariant density functional theory: Reexamining the structure of superheavy nuclei
• Isospin dependence of nucleon effective mass in Dirac Brueckner-Hartree-Fock approach
• Fully self-consistent relativistic Brueckner-Hartree-Fock theory for finite nuclei
• Structure of Superheavy Nuclei Along Element 115 Decay Chains
• Derivation of the Grodzins relation in collective nuclear model

Cited by in corpus (2)

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