11 research outputs found
Proton spectral functions in finite nuclei based on the extended Brueckner–Hartree–Fock approach
Deformed relativistic Hartree-Bogoliubov theory in continuum with a point-coupling functional. II. Examples of odd Nd isotopes
The aim of this work is to extend the deformed relativistic
Hartree-Bogoliubov theory in continuum (DRHBc) based on the point-coupling
density functionals to odd- and odd-odd nuclei and examine its applicability
by taking odd- Nd isotopes as examples. In the DRHBc theory, the densities
and potentials with axial deformation are expanded in terms of Legendre
polynomials, and the relativistic Hartree-Bogoliubov equations are solved in a
Dirac Woods-Saxon basis to include the continuum effects. For an odd- or
odd-odd nucleus, the blocking effect of unpaired nucleon(s) is taken into
account with the equal filling approximation. To determine its ground state, an
automatic blocking procedure is adopted, in which the orbital with the lowest
quasiparticle energy is blocked during the iteration. This procedure is
justified by comparing with the results from the orbital-fixed blocking
calculations, in which the blocked orbital near the Fermi surface is fixed
during the iteration. The ground states for both light and heavy nuclei can be
provided by the automatic blocking procedure as the orbital-fixed blocking
procedure, but with considerably reduced computational cost. The numerical
details for even-even nuclei are found to be valid for odd- and odd-odd
nuclei as well. Taking Nd isotopes including both even-even and odd- ones as
examples, the calculated ground-state properties with PC-PK1 are in good
agreement with the available experimental data. This work paves the way to
construct the DRHBc mass table including all even-even, odd- and odd-odd
nuclei in the nuclear chart.Comment: 39 pages, 13 figures, and 1 tabl
Deformed relativistic Hartree-Bogoliubov theory in continuum with a point-coupling functional. II. Examples of odd Nd isotopes
Background: One fascinating frontier in nuclear physics is the study of exotic nuclei. The deformed relativistic Hartree-Bogoliubov theory in continuum (DRHBc), which simultaneously includes the nuclear superfluidity, deformation, and continuum effects, can provide proper descriptions for both stable and exotic nuclei. In a previous work [Zhang et al., Phys. Rev. C 102, 024314 (2020)], the DRHBc theory based on the point-coupling density functionals was developed and the DRHBc calculation, previously accessible only for light nuclei, was extended for all even-even nuclei in the nuclear chart. The ground-state properties for the even-even nuclei with 8 Z 120 from the DRHBc calculations have been summarized [Zhang et al., At. Data Nucl. Data Tables 144, 101488 (2022)]. Purpose: The aim of this paper is to extend the point-coupling DRHBc theory to odd -A and odd-odd nuclei and examine its applicability by taking odd -A Nd isotopes as examples. Method: In the DRHBc theory, the densities and potentials with axial deformation are expanded in terms of Legendre polynomials, and the relativistic Hartree-Bogoliubov equations are solved in a Dirac Woods-Saxon basis to include the continuum effects. For an odd -A or odd-odd nucleus, the blocking effect of the unpaired nucleon(s) is taken into account with the equal filling approximation. To determine its ground state, an automatic blocking procedure is adopted, in which the orbital with the lowest quasiparticle energy is blocked during the iteration. This procedure is justified by comparing with the results from the orbital-fixed blocking calculations, in which the blocked orbital near the Fermi surface is fixed during the iteration. The ground states for both light and heavy nuclei can be provided by the automatic blocking procedure as the orbital-fixed blocking procedure, but with considerably reduced computational cost. Results: The numerical details for even-even nuclei, including the convergence on the energy cutoff, angular momentum cutoff, and Legendre expansion, are found to be valid for odd -A and odd-odd nuclei as well. The ground-state properties of odd -A Nd isotopes are calculated with the density functional PC-PK1. The calculated physical observables, such as binding energies, two-neutron and one-neutron separation energies, and charge radii, are in good agreement with the available experimental data for the whole Nd isotopic chain. Conclusions: The point-coupling DRHBc theory is extended to odd -A and odd-odd nuclei by including the blocking effect. Taking Nd isotopes including both even-even and odd -A ones as examples, the calculated ground-state properties with PC-PK1 are in good agreement with the available experimental data. This paper paves the way to construct the DRHBc mass table including all even-even, odd -A, and odd-odd nuclei in the nuclear chart.11Nsciescopu
Nuclear mass table in deformed relativistic Hartree–Bogoliubov theory in continuum, I: Even–even nuclei
© 2022 Elsevier Inc.Ground-state properties of even–even nuclei with 8≤Z≤120 from the proton drip line to the neutron drip line have been investigated using the deformed relativistic Hartree–Bogoliubov theory in continuum (DRHBc) with the density functional PC-PK1. With the effects of deformation and continuum included simultaneously, 2583 even–even nuclei are predicted to be bound. The calculated binding energies, two-nucleon separation energies, root-mean-square (rms) radii of neutron, proton, matter, and charge distributions, quadrupole deformations, and neutron and proton Fermi surfaces are tabulated and compared with available experimental data. The rms deviation from the 637 mass data is 1.518 MeV, providing one of the best microscopic descriptions for nuclear masses. The drip lines obtained from DRHBc calculations are compared with other calculations, including the spherical relativistic continuum Hartree–Bogoliubov (RCHB) and triaxial relativistic Hartree–Bogoliubov (TRHB) calculations with PC-PK1. The deformation and continuum effects on the limits of the nuclear landscape are discussed. Possible peninsulas consisting of bound nuclei beyond the two-neutron drip line are predicted. The systematics of the two-nucleon separation energies, two-nucleon gaps, rms radii, quadrupole deformations, potential energy curves, neutron densities, neutron mean-field potentials, and pairing energies in the DRHBc calculations are also discussed. In addition, the α decay energies extracted are in good agreement with available data.11Nsciescopu