Conservation and breaking of pseudospin symmetry
Pseudospin symmetry (PSS) is a relativistic dynamical symmetry connected with the lower component of the Dirac spinor. Here, we investigate the conservation and breaking of PSS in the single-nucleon resonant states, as an example, using Green's function method that provides a novel way to preci...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-12-01
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| Series: | Physics Letters B |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269323006548 |
| _version_ | 1797454378195484672 |
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| author | Ting-Ting Sun Zhi Pan Li Peter Ring |
| author_facet | Ting-Ting Sun Zhi Pan Li Peter Ring |
| author_sort | Ting-Ting Sun |
| collection | DOAJ |
| description | Pseudospin symmetry (PSS) is a relativistic dynamical symmetry connected with the lower component of the Dirac spinor. Here, we investigate the conservation and breaking of PSS in the single-nucleon resonant states, as an example, using Green's function method that provides a novel way to precisely describe not only the resonant energies and widths but also the spacial density distributions for both narrow and wide resonances. The PSS conservation and breaking are perfectly displayed in the evolution of resonant parameters and density distributions with the potential depth: In the PSS limit, i.e., when the attractive scalar and repulsive vector potentials have the same magnitude but opposite sign, PSS is exactly conserved with strictly the same energy and width between the PS partners as well as identical density distributions of the lower components. As the potential depth increases, the PSS is broken gradually with energy and width splittings and a phase shift in the density distributions. |
| first_indexed | 2024-03-09T15:36:22Z |
| format | Article |
| id | doaj.art-bd43d35e24004e7a8fb33c3bc4cc6dc7 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-03-09T15:36:22Z |
| publishDate | 2023-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-bd43d35e24004e7a8fb33c3bc4cc6dc72023-11-26T05:11:48ZengElsevierPhysics Letters B0370-26932023-12-01847138320Conservation and breaking of pseudospin symmetryTing-Ting Sun0Zhi Pan Li1Peter Ring2School of Physics and Microelectronics, Zhengzhou University, Zhengzhou 450001, China; Guangxi Key Laboratory of Nuclear Physics and Nuclear Technology, Guangxi Normal University, Guilin 541004, China; Corresponding authors.School of Physical Science and Technology, Southwest University, Chongqing 400715, China; Corresponding authors.Physik-Department der Technischen Universität München, D-85748 Garching, Germany; Corresponding authors.Pseudospin symmetry (PSS) is a relativistic dynamical symmetry connected with the lower component of the Dirac spinor. Here, we investigate the conservation and breaking of PSS in the single-nucleon resonant states, as an example, using Green's function method that provides a novel way to precisely describe not only the resonant energies and widths but also the spacial density distributions for both narrow and wide resonances. The PSS conservation and breaking are perfectly displayed in the evolution of resonant parameters and density distributions with the potential depth: In the PSS limit, i.e., when the attractive scalar and repulsive vector potentials have the same magnitude but opposite sign, PSS is exactly conserved with strictly the same energy and width between the PS partners as well as identical density distributions of the lower components. As the potential depth increases, the PSS is broken gradually with energy and width splittings and a phase shift in the density distributions.http://www.sciencedirect.com/science/article/pii/S0370269323006548Pseudospin symmetryConservation and breakingResonant statesGreen's function method |
| spellingShingle | Ting-Ting Sun Zhi Pan Li Peter Ring Conservation and breaking of pseudospin symmetry Physics Letters B Pseudospin symmetry Conservation and breaking Resonant states Green's function method |
| title | Conservation and breaking of pseudospin symmetry |
| title_full | Conservation and breaking of pseudospin symmetry |
| title_fullStr | Conservation and breaking of pseudospin symmetry |
| title_full_unstemmed | Conservation and breaking of pseudospin symmetry |
| title_short | Conservation and breaking of pseudospin symmetry |
| title_sort | conservation and breaking of pseudospin symmetry |
| topic | Pseudospin symmetry Conservation and breaking Resonant states Green's function method |
| url | http://www.sciencedirect.com/science/article/pii/S0370269323006548 |
| work_keys_str_mv | AT tingtingsun conservationandbreakingofpseudospinsymmetry AT zhipanli conservationandbreakingofpseudospinsymmetry AT peterring conservationandbreakingofpseudospinsymmetry |