Nuclear ground-state masses and deformations: FRDM(2012)

Abstract

We tabulate the atomic mass excesses and binding energies, ground-state shell-plus-pairing corrections, ground-state microscopic corrections, and nuclear ground-state deformations of 9318 nuclei ranging from ${}^{16}$O to $A=339$. The calculations are based on the finite-range droplet macroscopic model and the folded-Yukawa single-particle microscopic model. Relative to our FRDM(1992) mass table in {\sc Atomic Data and Nuclear Data Tables} [{\bf 59} 185 (1995)], the results are obtained in the same model, but with considerably improved treatment of deformation and fewer of the approximations that were necessary earlier, due to limitations in computer power. The more accurate execution of the model and the more extensive and more accurate experimental mass data base now available allows us to determine one additional macroscopic-model parameter, the density-symmetry coefficient $L$, which was not varied in the previous calculation, but set to zero. Because we now realize that the FRDM is inaccurate for some highly deformed shapes occurring in fission, because some effects are derived in terms of perturbations around a sphere, we only adjust its macroscopic parameters to ground-state masses. The values of ten constants are determined directly from an optimization to fit ground-state masses of 2149 nuclei ranging from ${}^{16}$O to ${}_{106}^{265}$Sg and ${}_{108}^{264}$Hs. The error of the mass model is 0.5595~MeV. We also provide masses in the FRLDM, which in the more accurate treatments now has an error of 0.6618 MeV. But in contrast to the FRDM, it is suitable for studies of fission and has been extensively so applied elsewhere, with FRLDM(2002) constants. The FRLDM(2012) fits 31 fission barrier heights from ${}^{70}$Se to ${}^{252}$Cf with a root-mean-square deviation of 1.052 MeV.

233 pages, 41 figures. arXiv admin note: text overlap with arXiv:nucl-th/9308022

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• Dynamic model of a non-equilibrium chemical composition formation in the shell of single neutron stars
• Iso-scalar liquid drop model
• Probing Nuclear Geometry through Multi-Particle Azimuthal Correlations and Rapidity-Even Dipolar Flow in ${}^{16}$O+${}^{16}$O Collisions
• Structure of the quartetting ground state of $N=Z$ nuclei
• Interplay of quadrupole and octupole degrees of freedom in the Gd isotopes
• Effects of high-$j$ orbitals, pairing and deformed neutron shells on upbendings of ground-state bands in neutron-rich even-even isotopes ${}^{170-184}$Hf
• Investigation of ground state properties and shape evolution in Hf isotopes using the CDFT approach
• Neutron stars from crust to core within the Quark-meson coupling model
• Implication of shell quenching in scandium isotopes around N=20
• Re examination of \b{eta} decay in Hg, Pb and Po Isotopes
• Capture Rates of Highly Degenerate Neutrons
• Landscape of nuclear deformation softness with spherical quasi-particle random phase approximation
• Measuring the nuclear magnetic quadrupole moment of optically trapped ytterbium atoms in the metastable state
• Probing the structural evolution along the fission path in the superheavy nucleus ${}^{256}$Sg
• Bulk and decay properties of neutron-deficient odd-mass Hg isotopes around A = 185
• A comprehensive study of decay modes associated with Pb isotopes
• Theoretical studies on structural properties and decay modes of ${}^{284-375}$119 isotopes
• Tetrahedral shape and Lambda impurity effect in ${}^{80}$Zr with a multidimensionally constrained relativistic Hartree-Bogoliubov model
• Higher-order anisotropic flow correlations in Xe-Xe collisions at $\sqrt{{\mathrm{s}}_{\mathrm{NN}}}=5.44TeV$
• Gamma Ray Heating and Neutrino Cooling Rates due to Weak Interaction Processes on sd-shell Nuclei in Stellar Cores
• Probability for synthesis of superheavy nuclei with Z=121
• A New Determination of the (Z,A) Dependence of Coherent Muon-to-Electron Conversion
• High-precision mass measurements of the ground and isomeric states in ${}^{124,125}$Ag
• Neural network enhanced Bayesian global analysis of relativistic heavy ion collisions
• Gamma-ray Signatures of r-Process Radioactivity from the Collapse of Magnetized White Dwarfs
• Nuclear astrophysics
• Quadrupole-Octupole Residual Interaction in the Proxy-$SU(3)$ Scheme
• A Quantization-Constrained Parameter Method for Studying $\alpha$ and Cluster Decay
• Imprints of octupole collectivity in uranium-238 on relativistic heavy-ion flow observables
• Investigation of $\beta$-decay properties of neutron-rich Cerium isotopes
• Energy rates due to Fe isotopes during presupernova evolution of massive stars
• Investigation of Gamow-Teller strength of 186Hg within deformed pn-QRPA
• Exploratory study on the masses of odd-$Z$ nuclei and $r$-process simulation based on the deformed relativistic Hartree-Bogoliubov theory in continuum
• Signature of bi-modal fission in Uranium nuclei
• Allowed and forbidden beta-decay log ft values of neutron-rich Pb and Bi isotopes
• Inter-band B(E1) Strengths in Heavy Nuclei based on the Proxy-SU(3) Scheme
• Sub-barrier fusion hindrance and absence of neutron transfer channels
• Model for independent particle motion
• Astrophysical Reaction Rates for Charged-Particle Induced Reactions on Proton-Rich Nuclides
• Principal Components of Nuclear Mass Model Residuals
• Level Densities from 0-30 MeV
• Charge symmetry breaking effects of $\omega$-${\rho }^0$ mixing in relativistic mean-field model
• Quantifying the Quark Gluon Plasma
• Kinetic energy of fission fragments within a dynamical model
• Implications of nuclear interaction for nuclear structure and astrophysics within the relativistic mean-field model
• Neutron emission during fission and its impact on fission-fragment mass distribution studied by Langevin model
• The thermal index of neutron-star matter in the virial approximation
• Shape transitions and ground-state properties of tungsten isotopes in covariant density functional theory
• Impact of microscopic structural transitions on particle stability and lifetimes of hot nuclei
• Characterizing the initial conditions of heavy-ion collisions at the LHC with mean transverse momentum and anisotropic flow correlations
• Reentrance of proton-neutron pairing in hot nuclear systems
• Radioactive Molecules as Laboratories of Fundamental Physics
• Mass Probe of Tetrahedral Symmetry in Atomic Nuclei
• First high-precision direct determination of the atomic mass of a superheavy nuclide
• Rigorous proof of the Strutinsky energy theorem and foundations of nuclear density functional theory
• Investigation of weak-rates for odd-A nuclei for presupernova simulations
• Impact of nuclear masses on r-process nucleosynthesis: bulk properties versus shell effects