The neutron drip line: single-particle degrees of freedom and pairing properties as sources of theoretical uncertainties

Abstract

The sources of theoretical uncertainties in the prediction of the two-neutron drip line are analyzed in the framework of covariant density functional theory. We concentrate on single-particle and pairing properties as potential sources of these uncertainties. The major source of these uncertainties can be traced back to the differences in the underlying single-particle structure of the various covariant energy density functionals (CEDF). It is found that the uncertainties in the description of single-particle energies at the two-neutron drip line are dominated by those existing already in known nuclei. Only approximately one third of these uncertainties are due to the uncertainties in the isovector channel of CEDF's. Thus, improving the CEDF description of single-particle energies in known nuclei will also reduce the uncertainties in the prediction of the position of two-neutron drip line. The predictions of pairing properties in neutron rich nuclei depend on the CEDF. Although pairing properties affect moderately the position of the two-neutron drip line they represent only a secondary source for the uncertainties in the definition of the position of the two-neutron drip line.

18 pages, 12 figures

References in corpus (9)

• Neutron-Rich Nuclei in Heaven and Earth
• New parametrization for the nuclear covariant energy density functional with point-coupling interaction
• Relativistic Nuclear Energy Density Functionals: adjusting parameters to binding energies
• DIRHB -- a relativistic self-consistent mean-field framework for atomic nuclei
• Global performance of covariant energy density functionals: ground state observables of even-even nuclei and the estimate of theoretical uncertainties
• Covariant theory of particle-vibrational coupling and its effect on the single-particle spectrum
• Dirac-Brueckner-Hartree-Fock calculations for isospin asymmetric nuclear matter based on improved approximation schemes
• Dependence of single-particle energies on coupling constants of the nuclear energy density functional
• Covariant density functional theory: The role of the pion

Cited by in corpus (42)

• The limits of the nuclear landscape explored by the relativistic continuum Hatree-Bogoliubov theory
• Bayesian approach to model-based extrapolation of nuclear observables
• r-Process Nucleosynthesis: Connecting Rare-Isotope Beam Facilities with the Cosmos
• Towards an ab initio covariant density functional for nuclear structure
• Octupole deformation in the ground states of even-even nuclei: a global analysis within the covariant density functional theory
• Deformed relativistic Hartree-Bogoliubov theory in continuum with point coupling functional: examples of even-even Nd isotopes
• Quantified limits of the nuclear landscape
• Covariant density functional theory: Reexamining the structure of superheavy nuclei
• Covariant energy density functionals: nuclear matter constraints and global ground state properties
• Nuclear Reactions in the Crusts of Accreting Neutron Stars
• Deformed relativistic Hartree-Bogoliubov theory in continuum with a point-coupling functional. II. Examples of odd Nd isotopes
• Charge radii in covariant density functional theory: a global view
• Assessing theoretical uncertainties in fission barriers of superheavy nuclei
• Empirical pairing gaps, shell effects, and di-neutron spatial correlation in neutron-rich nuclei
• Extension of nuclear landscape to hyperheavy nuclei
• Octupole deformation in the ground states of even-even $Z\sim 96,N\sim 196$ actinides and superheavy nuclei
• Nuclear mass predictions using machine learning models
• The propagation of statistical errors in covariant density functional theory: ground state observables and single-particle properties
• Neutron drip line in the deformed relativistic Hartree-Bogoliubov theory in continuum: Oxygen to Calcium
• Covariant density functional theory input for r-process simulations in actinides and superheavy nuclei: the ground state and fission properties
• Global calculations on the microscopic energies and nuclear deformations: Isospin dependence of the spin-orbit coupling
• Possible existence of bound nuclei beyond neutron drip lines driven by deformation
• Rotational excitations in near neutron-drip line nuclei: the birth and death of particle-bound rotational bands and the extension of nuclear landscape beyond spin zero neutron drip line
• Many-body correlations in nuclear superfluidity
• Neutron-rich rare isotope production with stable and radioactive beams in the mass range A=40-60 at beam energy around 15 MeV/nucleon
• Odd-even staggering in neutron drip line nuclei
• Finite temperature pairing re-entrance in drip-line ${}^{48}$Ni nucleus
• Nuclear chart in covariant density functional theory with dynamical correlations: From Oxygen to Tin
• Quadrupole collectivity and shell closure in neutron-rich nuclei around $N=126$
• Bayesian averaging of computer models with domain discrepancies: a nuclear physics perspective
• Fayans functional for deformed nuclei. Uranium region
• KIDS density functional for deformed nuclei: Examples of the even-even Nd isotopes
• Self-consistent Theory of Finite Fermi Systems vs Skyrme-Hartree-Fock method. Spherical nuclei
• Persistence of the N = 50 shell closure over the isotopic chains of Sc, Ti, V and Cr nuclei using relativistic energy density functional
• Evolution of $N=28$ shell closure in relativistic continuum Hartree-Bogoliubov theory
• Collapse of N$=$28 magicity in exotic ${}^{40}$Mg -- Probe of deformed halo and 2n-radioactivity at Mg neutron drip-line
• Axially Deformed Proton-Neutron Relativistic Quasiparticle Finite Amplitude Method for Charge-Exchange Transitions
• Exploratory study on the masses of odd-$Z$ nuclei and $r$-process simulation based on the deformed relativistic Hartree-Bogoliubov theory in continuum
• Covariant energy density functionals: the assessment of global performance across the nuclear landscape
• Global study of separable pairing interaction in covariant density functional theory
• Model for independent particle motion
• Skyrme Functional with Tensor Terms from ab initio Calculations: Results for the Spin-Orbit Splittings