Odd systems in deformed relativistic Hartree Bogoliubov theory in continuum

Details Odd systems in deformed relativistic Hartree Bogoliubov theory in continuum Odd systems in deformed relativistic Hartree Bogoliubov theory in continuum

2012-03-07

arxiv.org/abs/1203.1363v2

Physics

Nuclear Physics

Nuclear Theory

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

Scientific paper

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.

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