Islands of Shape Coexistence: Theoretical Predictions and Experimental Evidence
Parameter-free theoretical predictions based on a dual shell mechanism within the proxy-SU(3) symmetry of atomic nuclei, as well as covariant density functional theory calculations using the DDME2 functional indicate that shape coexistence (SC) based on the particle-hole excitation mechanism cannot...
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MDPI AG
2022-12-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/15/1/29 |
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| author | Andriana Martinou Dennis Bonatsos Spyridon Kosmas Peroulis Konstantinos Eleftherios Karakatsanis Theodoros John Mertzimekis Nikolay Minkov |
| author_facet | Andriana Martinou Dennis Bonatsos Spyridon Kosmas Peroulis Konstantinos Eleftherios Karakatsanis Theodoros John Mertzimekis Nikolay Minkov |
| author_sort | Andriana Martinou |
| collection | DOAJ |
| description | Parameter-free theoretical predictions based on a dual shell mechanism within the proxy-SU(3) symmetry of atomic nuclei, as well as covariant density functional theory calculations using the DDME2 functional indicate that shape coexistence (SC) based on the particle-hole excitation mechanism cannot occur everywhere on the nuclear chart but is restricted on islands lying within regions of 7–8, 17–20, 34–40, 59–70, 96–112, 146–168 protons or neutrons. Systematics of data for even-even nuclei possessing <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>K</mi><mo>=</mo><mn>0</mn></mrow></semantics></math></inline-formula> (beta) and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>K</mi><mo>=</mo><mn>2</mn></mrow></semantics></math></inline-formula> (gamma) bands support the existence of these islands, on which shape coexistence appears whenever the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>K</mi><mo>=</mo><mn>0</mn></mrow></semantics></math></inline-formula> bandhead <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msubsup><mn>0</mn><mn>2</mn><mo>+</mo></msubsup></semantics></math></inline-formula> and the first excited state of the ground state band <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msubsup><mn>2</mn><mn>1</mn><mo>+</mo></msubsup></semantics></math></inline-formula> lie close in energy, with nuclei characterized by <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msubsup><mn>0</mn><mn>2</mn><mo>+</mo></msubsup></semantics></math></inline-formula> lying below the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msubsup><mn>2</mn><mn>1</mn><mo>+</mo></msubsup></semantics></math></inline-formula> found in the center of these islands. In addition, a simple theoretical mechanism leading to multiple-shape coexistence is briefly discussed. |
| first_indexed | 2024-03-09T11:09:20Z |
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| language | English |
| last_indexed | 2024-03-09T11:09:20Z |
| publishDate | 2022-12-01 |
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| series | Symmetry |
| spelling | doaj.art-b30a8a8fec8a4b9cb08086e2e4dfa1b32023-12-01T00:50:41ZengMDPI AGSymmetry2073-89942022-12-011512910.3390/sym15010029Islands of Shape Coexistence: Theoretical Predictions and Experimental EvidenceAndriana Martinou0Dennis Bonatsos1Spyridon Kosmas Peroulis2Konstantinos Eleftherios Karakatsanis3Theodoros John Mertzimekis4Nikolay Minkov5Institute of Nuclear and Particle Physics, National Centre for Scientific Research “Demokritos”, GR-15310 Aghia Paraskevi, Attiki, GreeceInstitute of Nuclear and Particle Physics, National Centre for Scientific Research “Demokritos”, GR-15310 Aghia Paraskevi, Attiki, GreeceInstitute of Nuclear and Particle Physics, National Centre for Scientific Research “Demokritos”, GR-15310 Aghia Paraskevi, Attiki, GreeceDepartment of Physics, Faculty of Science, University of Zagreb, HR-10000 Zagreb, CroatiaDepartment of Physics, National and Kapodistrian University of Athens, Zografou Campus, GR-15784 Athens, GreeceInstitute of Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, 72 Tzarigrad Road, 1784 Sofia, BulgariaParameter-free theoretical predictions based on a dual shell mechanism within the proxy-SU(3) symmetry of atomic nuclei, as well as covariant density functional theory calculations using the DDME2 functional indicate that shape coexistence (SC) based on the particle-hole excitation mechanism cannot occur everywhere on the nuclear chart but is restricted on islands lying within regions of 7–8, 17–20, 34–40, 59–70, 96–112, 146–168 protons or neutrons. Systematics of data for even-even nuclei possessing <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>K</mi><mo>=</mo><mn>0</mn></mrow></semantics></math></inline-formula> (beta) and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>K</mi><mo>=</mo><mn>2</mn></mrow></semantics></math></inline-formula> (gamma) bands support the existence of these islands, on which shape coexistence appears whenever the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>K</mi><mo>=</mo><mn>0</mn></mrow></semantics></math></inline-formula> bandhead <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msubsup><mn>0</mn><mn>2</mn><mo>+</mo></msubsup></semantics></math></inline-formula> and the first excited state of the ground state band <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msubsup><mn>2</mn><mn>1</mn><mo>+</mo></msubsup></semantics></math></inline-formula> lie close in energy, with nuclei characterized by <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msubsup><mn>0</mn><mn>2</mn><mo>+</mo></msubsup></semantics></math></inline-formula> lying below the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msubsup><mn>2</mn><mn>1</mn><mo>+</mo></msubsup></semantics></math></inline-formula> found in the center of these islands. In addition, a simple theoretical mechanism leading to multiple-shape coexistence is briefly discussed.https://www.mdpi.com/2073-8994/15/1/29shape coexistenceproxy-SU(3) symmetrycovariant density functional theory |
| spellingShingle | Andriana Martinou Dennis Bonatsos Spyridon Kosmas Peroulis Konstantinos Eleftherios Karakatsanis Theodoros John Mertzimekis Nikolay Minkov Islands of Shape Coexistence: Theoretical Predictions and Experimental Evidence Symmetry shape coexistence proxy-SU(3) symmetry covariant density functional theory |
| title | Islands of Shape Coexistence: Theoretical Predictions and Experimental Evidence |
| title_full | Islands of Shape Coexistence: Theoretical Predictions and Experimental Evidence |
| title_fullStr | Islands of Shape Coexistence: Theoretical Predictions and Experimental Evidence |
| title_full_unstemmed | Islands of Shape Coexistence: Theoretical Predictions and Experimental Evidence |
| title_short | Islands of Shape Coexistence: Theoretical Predictions and Experimental Evidence |
| title_sort | islands of shape coexistence theoretical predictions and experimental evidence |
| topic | shape coexistence proxy-SU(3) symmetry covariant density functional theory |
| url | https://www.mdpi.com/2073-8994/15/1/29 |
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