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arXiv · 1409.8412

Green's function method for single-particle resonant states in relativistic mean field theory

T. T. Sun·S. Q. Zhang·Y. Zhang·J. N. Hu·J. Meng
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Abstract

Relativistic mean field theory is formulated with the Green's function method in coordinate space to investigate the single-particle bound states and resonant states on the same footing. Taking the density of states for free particle as a reference, the energies and widths of single-particle resonant states are extracted from the density of states without any ambiguity. As an example, the energies and widths for single-neutron resonant states in $^{120}$Sn are compared with those obtained by the scattering phase-shift method, the analytic continuation in the coupling constant approach, the real stabilization method and the complex scaling method. Excellent agreements are found for the energies and widths of single-neutron resonant states.

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T. T. Sun, S. Q. Zhang, Y. Zhang, J. N. Hu, J. Meng. 2014-09-30. Green's function method for single-particle resonant states in relativistic mean field theory. https://doi.org/10.1103/physrevc.90.054321

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