Odd systems in deformed relativistic Hartree Bogoliubov theory in continuum

TL;DR

This paper extends the deformed relativistic Hartree Bogoliubov theory in continuum to include odd nucleons, enabling detailed microscopic studies of exotic, unstable odd-A and odd-odd nuclei with deformation and continuum effects.

Contribution

It introduces a formalism and numerical approach for incorporating blocking effects in deformed relativistic Hartree Bogoliubov theory for exotic nuclei.

Findings

Validated the extended code against spherical case in $^{19}$O.

Analyzed neutron levels and density distributions in $^{15}$C.

Demonstrated the method's capability for deformed exotic nuclei.

Abstract

In order to describe the exotic nuclear structure in unstable odd-$A$ or odd-odd nuclei, the deformed relativistic Hartree Bogoliubov theory in continuum has been extended to incorporate the blocking effect due to the odd nucleon. For a microscopic and self-consistent description of pairing correlations, continuum, deformation, blocking effects, and the extended spatial density distribution in exotic nuclei, the deformed relativistic Hartree Bogoliubov equations are solved in a Woods-Saxon basis in which the radial wave functions have a proper asymptotic behavior at large $r$. The formalism and numerical details are provided. The code is checked by comparing the results with those of spherical relativistic continuum Hartree Bogoliubov theory in the nucleus $^{19}$O. The prolate deformed nucleus $^{15}$C is studied by examining the neutron levels and density distributions.