Odd systems in deformed relativistic Hartree Bogoliubov theory in continuum

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.

4 pages, 3 figures; Chin. Phys. Lett., in press

References in corpus (2)

• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• Microscopic justification of the Equal Filling approximation

Cited by in corpus (23)

• Hidden pseudospin and spin symmetries and their origins in atomic nuclei
• Quasi-free Neutron Knockout Reaction Reveals a Small $s$-orbital Component in the Borromean Nucleus ${}^{17}$B
• Predictive power for superheavy nuclear mass and possible stability beyond the neutron drip line in deformed relativistic Hartree-Bogoliubov theory in continuum
• Deformed relativistic Hartree-Bogoliubov theory in continuum with a point-coupling functional. II. Examples of odd Nd isotopes
• Density-dependent deformed relativistic Hartree-Bogoliubov theory in continuum
• Collapse of the $N=28$ shell closure in the newly discovered ${}^{39}$Na and the development of deformed halos towards the neutron dripline
• Ground state properties and potential energy surfaces of ${}^{270}$Hs from multidimensionally-constrained relativistic mean field model
• Angular momentum projection in the deformed relativistic Hartree-Bogoliubov theory in continuum
• Multipole expansion of densities in the deformed relativistic Hartree-Bogoliubov theory in continuum
• Possible existence of bound nuclei beyond neutron drip lines driven by deformation
• Green's function method for the spin and pseudospin symmetries in the single-particle resonant states
• Examination of the evidence for a proton halo in ${}^{22}$Al
• Continuum Skyrme-Hartree-Fock-Bogoliubov theory with Green's function method for odd-$A$ nuclei
• Shell structure and shape transition in odd-$Z$ superheavy nuclei with proton numbers $Z=117,119$: insights from deformed relativistic Hartree-Bogoliubov in continuum
• Study of single-particle resonant states with Green's function method
• Multireference covariant density-functional theory for the low-lying states of odd-mass nuclei
• Unified mechanism behind the even-parity ground state and neutron halo of ${}^{11}$Be
• Nuclear shape evolution of neutron-deficient Au and kink structure of Pb isotopes
• Triaxial relativistic Hartree-Bogoliubov theory in continuum for exotic nuclei
• Ground-state properties and structure evolutions of odd-$A$ transuranium Bk isotopes from deformed relativistic Hartree-Bogoliubov theory in continuum
• Exploratory study on the masses of odd-$Z$ nuclei and $r$-process simulation based on the deformed relativistic Hartree-Bogoliubov theory in continuum
• Nuclear Pairing Energy vs Mean Field Energy: Do They Talk To Each Other For Searching The Energy Minimum?
• Models for Pairing Phenomena