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

S. S. Zhang, J. Meng, S. G. Zhou, and G. C. Hillhouse
Phys. Rev. C 70, 034308 – Published 21 September 2004

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 ν1g92 in Ca60 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 Padé approximant of the second kind. The RMF-ACCC approach is then applied to Zr122 and, for the first time, this approach is employed to investigate both the energies, widths, and wave functions for l0 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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  • Received 2 March 2004

DOI:https://doi.org/10.1103/PhysRevC.70.034308

©2004 American Physical Society

Authors & Affiliations

S. S. Zhang1, J. Meng1,2,3,*, S. G. Zhou1,2,3, and G. C. Hillhouse4,1

  • 1School of Physics, Peking University, Beijing 100871, China
  • 2Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100080, China
  • 3Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000, China
  • 4Department of Physics, University of Stellenbosch, Private Bag X1, Matieland 7602, South Africa

  • *Electronic address: mengj@pku.edu.cn

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Vol. 70, Iss. 3 — September 2004

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