Beyond-mean-field dynamical correlations for nuclear mass table in deformed relativistic Hartree-Bogoliubov theory in continuum

We extend the deformed relativistic Hartree-Bogoliubov theory in continuum (DRHBc) to go beyond-mean-field framework by performing a two-dimensional collective Hamiltonian. The influences of dynamical correlations on the ground-state properties are examined in different mass regions, picking Se, Nd, and Th isotopic chains as representatives. It is found that the dynamical correlation energies (DCEs) and the rotational correction energies i in the cranking approximation have an almost equivalent effect on the description of binding energies for most deformed nuclei, and the DCEs can provide a significant improvement for the (near) spherical nuclei close to the neutron shells and thus reduce the rms deviations of S-2n by i approximate to 17%. Furthermore, it is found that the DCEs are quite sensitive to the pairing correlations; taking i Nd as an example, a 10% enhancement of pairing strength can raise the DCE by approximate to 37%.

Automated summary

In this study, the deformed relativistic Hartree-Bogoliubov theory in continuum (DRHBc) is extended to a beyond-mean-field framework through a two-dimensional collective Hamiltonian. The influences of dynamical correlations on ground-state properties in different mass regions were examined, with significant improvements seen in binding energy descriptions. Additionally, it was observed that dynamical correlation energies (DCEs) are sensitive to pairing correlations, with a notable increase in DCE with enhanced pairing strength.