Towards accurate nuclear mass tables in covariant density functional theory

Abstract

The current investigation focuses on detailed analysis of the anchor based optimization approach (ABOA), its comparison with alternative global fitting protocols and on the global analysis of the truncation of basis effects in the calculation of binding energies. It is shown that ABOA provides a solution which is close to that obtained in alternative approaches but at small portion of their computational time. The application of softer correction function after few initial iterations of ABOA stabilizes and speeds up its convergence. For the first time, the numerical errors in the calculation of binding energies related to the truncation of bosonic and fermionic bases have been globally investigated with respect of asymptotic values corresponding to the infinite basis in the framework of covariant density functional theory (CDFT). These errors typically grow up with the increase of the mass and deformation of the nuclei. To reduce such errors in bosonic sector below 10 keV for almost all nuclei with proton number $Z<120$ one should truncate the bosonic basis at $N_B=28$ instead of presently used $N_B=20$. The reduction of the errors in binding energies due to the truncation of the fermionic basis in CDFT is significantly more numerically costly. For the first time it is shown that the pattern and the speed of the convergence of binding energies as a function of the size of fermionic basis given by $N_F$ depend on the type of covariant energy density functional. The use of explicit density dependence of the meson-nucleon coupling constants or point couplings slows down substantially the speed of convergence of binding energies as a function of $N_F$. A new procedure for finding the asymptotic values of binding energies is suggested in the present paper: it allows better control of numerical errors.

26 pages, 11 figures

References in corpus (12)

• The r-process of stellar nucleosynthesis: Astrophysics and nuclear physics achievements and mysteries
• New parametrization for the nuclear covariant energy density functional with point-coupling interaction
• Relativistic Nuclear Energy Density Functionals: adjusting parameters to binding energies
• Relativistic Mean-Field Hadronic Models under Nuclear Matter Constraints
• 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
• Beyond the relativistic mean-field approximation (III): collective Hamiltonian in five dimensions
• Global study of beyond-mean-field correlation energies in covariant energy density functional theory using a collective Hamiltonian method
• Deformed Coordinate-Space Hartree-Fock-Bogoliubov Approach to Weakly Bound Nuclei and Large Deformations
• Global microscopic calculations of ground-state spin and parity for odd-mass nuclei
• Applications of reduced basis methods to the nuclear single particle spectrum
• Anchor-based optimization of energy density functionals

Cited by in corpus (1)

• Implication of shell quenching in scandium isotopes around N=20