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Analytic continuation of single-particle resonance energy and wave function in relativistic mean field theory

S. S. Zhang·J. Meng·S. G. Zhou·G. C. Hillhouse
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Abstract

Single-particle resonant states in spherical nuclei are studied by an analytic continuation in the coupling constant (ACCC) method within the framework of the self-consistent relativistic mean field (RMF) theory. Taking the neutron resonant state $ν1g_{9/2}$ in $^{60}$Ca as an example, we examine the analyticity of the eigenvalue and eigenfunction for the Dirac equation with respect to the coupling constant by means of a $\pade$ approximant of the second kind. The RMF-ACCC approach is then applied to $^{122}$Zr and, for the first time, this approach is employed to investigate both the energies, widths and wave functions for $l\ne 0$ resonant states close to the continuum threshold. Predictions are also compared with corresponding results obtained from the scattering phase shift method.

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S. S. Zhang, J. Meng, S. G. Zhou, G. C. Hillhouse. 2004-03-03. Analytic continuation of single-particle resonance energy and wave function in relativistic mean field theory. https://doi.org/10.1103/physrevc.70.034308

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