Highest weight irreducible representations favored by nuclear forces within SU(3)-symmetric fermionic systems
The consequences of the attractive, short-range nucleon-nucleon (NN) interaction on the wave functions of nuclear models bearing the SU(3) symmetry are reviewed. The NN interaction favors the most symmetric spatial SU(3) irreducible representation (irrep), which corresponds to the maximal spatial ov...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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EDP Sciences
2021-01-01
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| Series: | EPJ Web of Conferences |
| Online Access: | https://www.epj-conferences.org/articles/epjconf/pdf/2021/06/epjconf_hinpw62021_02006.pdf |
| _version_ | 1819135119136391168 |
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| author | Martinou Andriana Sarantopoulou S. Karakatsanis K.E. Bonatsos Dennis |
| author_facet | Martinou Andriana Sarantopoulou S. Karakatsanis K.E. Bonatsos Dennis |
| author_sort | Martinou Andriana |
| collection | DOAJ |
| description | The consequences of the attractive, short-range nucleon-nucleon (NN) interaction on the wave functions of nuclear models bearing the SU(3) symmetry are reviewed. The NN interaction favors the most symmetric spatial SU(3) irreducible representation (irrep), which corresponds to the maximal spatial overlap among the fermions. The consideration of the highest weight (hw) irreps in nuclei and in alkali metal clusters, leads to the prediction of a prolate to oblate shape transition beyond the mid–shell region. Subsequently, the consequences of the use of the hw irreps on the binding energies and two-neutron separation energies in the rare earth region are discussed within the proxy-SU(3) scheme, by considering a very simple Hamiltonian, containing only thethree dimensional (3D) isotropic harmonic oscillator (HO) term and the quadrupole-quadrupole interaction. This Hamiltonian conserves the SU(3) symmetry and treats the nucleus as a rigid rotator. |
| first_indexed | 2024-12-22T10:14:01Z |
| format | Article |
| id | doaj.art-8f5470d9c0cb496e8fd9fe6e7ccfb4c8 |
| institution | Directory Open Access Journal |
| issn | 2100-014X |
| language | English |
| last_indexed | 2024-12-22T10:14:01Z |
| publishDate | 2021-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | EPJ Web of Conferences |
| spelling | doaj.art-8f5470d9c0cb496e8fd9fe6e7ccfb4c82022-12-21T18:29:46ZengEDP SciencesEPJ Web of Conferences2100-014X2021-01-012520200610.1051/epjconf/202125202006epjconf_hinpw62021_02006Highest weight irreducible representations favored by nuclear forces within SU(3)-symmetric fermionic systemsMartinou Andriana0Sarantopoulou S.1Karakatsanis K.E.Bonatsos Dennis2Institute of Nuclear and Particle Physics, National Centre of Scientific Research “Demokritos”,Institute of Nuclear and Particle Physics, National Centre of Scientific Research “Demokritos”,Institute of Nuclear and Particle Physics, National Centre of Scientific Research “Demokritos”,The consequences of the attractive, short-range nucleon-nucleon (NN) interaction on the wave functions of nuclear models bearing the SU(3) symmetry are reviewed. The NN interaction favors the most symmetric spatial SU(3) irreducible representation (irrep), which corresponds to the maximal spatial overlap among the fermions. The consideration of the highest weight (hw) irreps in nuclei and in alkali metal clusters, leads to the prediction of a prolate to oblate shape transition beyond the mid–shell region. Subsequently, the consequences of the use of the hw irreps on the binding energies and two-neutron separation energies in the rare earth region are discussed within the proxy-SU(3) scheme, by considering a very simple Hamiltonian, containing only thethree dimensional (3D) isotropic harmonic oscillator (HO) term and the quadrupole-quadrupole interaction. This Hamiltonian conserves the SU(3) symmetry and treats the nucleus as a rigid rotator.https://www.epj-conferences.org/articles/epjconf/pdf/2021/06/epjconf_hinpw62021_02006.pdf |
| spellingShingle | Martinou Andriana Sarantopoulou S. Karakatsanis K.E. Bonatsos Dennis Highest weight irreducible representations favored by nuclear forces within SU(3)-symmetric fermionic systems EPJ Web of Conferences |
| title | Highest weight irreducible representations favored by nuclear forces within SU(3)-symmetric fermionic systems |
| title_full | Highest weight irreducible representations favored by nuclear forces within SU(3)-symmetric fermionic systems |
| title_fullStr | Highest weight irreducible representations favored by nuclear forces within SU(3)-symmetric fermionic systems |
| title_full_unstemmed | Highest weight irreducible representations favored by nuclear forces within SU(3)-symmetric fermionic systems |
| title_short | Highest weight irreducible representations favored by nuclear forces within SU(3)-symmetric fermionic systems |
| title_sort | highest weight irreducible representations favored by nuclear forces within su 3 symmetric fermionic systems |
| url | https://www.epj-conferences.org/articles/epjconf/pdf/2021/06/epjconf_hinpw62021_02006.pdf |
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