Green's function method for the spin and pseudospin symmetries in the single-particle resonant states
| Autor: | Ting-Ting Sun, Long Qian, Wan-Li Lu, Yu-Xiao Li |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Physics
Nuclear Theory 010308 nuclear & particles physics High Energy Physics::Phenomenology FOS: Physical sciences 01 natural sciences Nuclear Theory (nucl-th) symbols.namesake Green's function Dirac equation Quantum mechanics 0103 physical sciences Homogeneous space symbols Level structure Condensed Matter::Strongly Correlated Electrons Continuum (set theory) Symmetry (geometry) 010306 general physics Energy (signal processing) Spin-½ |
| Zdroj: | Physical Review C. 99 |
| ISSN: | 2469-9993 2469-9985 |
| DOI: | 10.1103/physrevc.99.034310 |
| Popis: | We investigate the spin and pseudospin symmetry in the single-particle resonant states by solving the Dirac equation containing a Woods-Saxon potential with Green's function method. Taking double-magic nucleus $^{208}$Pb as an example, three spin doublets $3d$, $2h$, and $1j$ and three pseudospin doublets $3\tilde{p}$, $1\tilde{i}$, and $1\tilde{j}$ are obtained for the single-neutron resonant states. By analyzing the energy splittings, we find that the threshold effect plays an important role in resonant pseudospin doubles. Besides, there is a reversed level structure of pseudospin doublets in the continuum. Differently, all the width splittings of either the spin doublets or the pseudospin doublets are systematically positive and the splittings are very small except $1\tilde{j}$ doublet. Further studies show that the splittings of the energies and widths for the resonant (pseudo)spin doublets are independent. Besides, the similarity properties of the wave functions of the spin and pseudospin doublets still maintain well in resonant states. 10 pages, 8 figures, 1 table. arXiv admin note: text overlap with arXiv:1710.02923 |
| Databáze: | OpenAIRE |
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