dorsal/arxiv
View SchemaAnalytic continuation of single-particle resonance energy and wave function in relativistic mean field theory
| Authors | S. S. Zhang, J. Meng, S. G. Zhou, G. C. Hillhouse |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0403013 |
| URL | https://arxiv.org/abs/nucl-th/0403013 |
| DOI | 10.1103/PhysRevC.70.034308 |
| Journal | Phys.Rev. C70 (2004) 034308 |
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 $\nu 1g_{9/2}$ 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.
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"abstract": "Single-particle resonant states in spherical nuclei are studied by an\nanalytic continuation in the coupling constant (ACCC) method within the\nframework of the self-consistent relativistic mean field (RMF) theory. Taking\nthe neutron resonant state $\\nu 1g_{9/2}$ in $^{60}$Ca as an example, we\nexamine the analyticity of the eigenvalue and eigenfunction for the Dirac\nequation with respect to the coupling constant by means of a $\\pade$\napproximant of the second kind. The RMF-ACCC approach is then applied to\n$^{122}$Zr and, for the first time, this approach is employed to investigate\nboth the energies, widths and wave functions for $l\\ne 0$ resonant states close\nto the continuum threshold. Predictions are also compared with corresponding\nresults obtained from the scattering phase shift method.",
"arxiv_id": "nucl-th/0403013",
"authors": [
"S. S. Zhang",
"J. Meng",
"S. G. Zhou",
"G. C. Hillhouse"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.70.034308",
"journal_ref": "Phys.Rev. C70 (2004) 034308",
"title": "Analytic continuation of single-particle resonance energy and wave function in relativistic mean field theory",
"url": "https://arxiv.org/abs/nucl-th/0403013"
},
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