Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2004-03-03
Phys.Rev. C70 (2004) 034308
Physics
Nuclear Physics
Nuclear Theory
19 pages, 9 figures
Scientific paper
10.1103/PhysRevC.70.034308
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 $\nu 1g_{9/2}$ 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.
Hillhouse G. C.
Meng Jie
Zhang Sheng
Zhou Shan-Gui
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