Single-particle resonances in a deformed relativistic potential

The positive-parity single-neutron levels in an axially-deformed relativistic quadrupole Woods-Saxon potential are analyzed. Neutron states are obtained as the solutions of the corresponding single-particle Dirac equation, using the coupled-channels method in the coordinate space. The evolution of the levels close to the continuum threshold and, in particular, the occurrence of single-neutron resonant states as the functions of the axial deformation parameter 0 ⩽ β ⩽ 0.5, are examined using the eigenphase representation. Calculations are performed for different values of the radius of the potential ( R/r 0 ) 3 , corresponding to a variation of the mass number A .