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

Research output: Contribution to journalArticle

57 Citations (Scopus)

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 vlg9/2 in 60Ca 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 122Zr and, for the first time, this approach is employed to investigate both the energies, widths, and wave functions for l ≠ 0 resonant states close to the continuum threshold. Predictions are also compared with corresponding results obtained from the scattering phase shift method.

Original languageEnglish
Pages (from-to)343081-343088
Number of pages8
JournalPhysical Review C - Nuclear Physics
Volume70
Issue number3
DOIs
Publication statusPublished - Sep 1 2004

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wave functions
Dirac equation
energy
eigenvectors
eigenvalues
phase shift
continuums
neutrons
nuclei
thresholds
predictions
scattering

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics

Cite this

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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 vlg9/2 in 60Ca 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 Pad{\'e} approximant of the second kind. The RMF-ACCC approach is then applied to 122Zr and, for the first time, this approach is employed to investigate both the energies, widths, and wave functions for l ≠ 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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Analytic continuation of single-particle resonance energy and wave function in relativistic mean field theory. / Zhang, S. S.; Meng, J.; Zhou, S. G.; Hillhouse, G. C.

In: Physical Review C - Nuclear Physics, Vol. 70, No. 3, 01.09.2004, p. 343081-343088.

Research output: Contribution to journalArticle

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