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Analytic continuation of single-particle resonance energy and wave function in relativistic mean field theory
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 in 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
Zr and, for the first time, this approach is employed to investigate
both the energies, widths and wave functions for resonant states close
to the continuum threshold. Predictions are also compared with corresponding
results obtained from the scattering phase shift method.Comment: 19 pages, 9 figure
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