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Line of approximate SU(3) symmetry inside the symmetry triangle of the Interacting Boson Model

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Hellenic Nuclear Physics Society   

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Line of approximate SU(3) symmetry inside the symmetry triangle of the Interacting Boson Model (EN)
Karampagia, S.
Casten, R. F.
Bonatsos, D.
info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
2020-01-01
The U(5), SU(3), and O(6) symmetries of the Interacting Boson Model (IBM) have been traditionally placed at the vertices of the symmetry triangle, while an O(5) symmetry is known to hold along the U(5)–O(6) side of the triangle. We construct [1] for the first time a symmetry line in the interior of the triangle, along which the SU(3) symmetry is preserved. This is achieved by using the contraction of the SU(3) algebra to the algebra of the rigid rotator in the large boson number limit of the IBM. The line extends from the SU(3) vertex to near the critical line of the first order shape/phase transition separating the spherical and prolate deformed phases. It lies within the Alhassid–Whelan arc of regularity, the unique valley of regularity connecting the SU(3) and U(5) vertices amidst chaotic regions, thus providing an explanation for its existence. (EN)
contraction of SU(3) algebra (EN)
IBM (EN)
Alhassid–Whelan arc of regularity (EN)
Annual Symposium of the Hellenic Nuclear Physics Society
English
Hellenic Nuclear Physics Society (HNPS) (EN)
2654-0088
2654-007X
Annual Symposium of the Hellenic Nuclear Physics Society; Τόμ. 19 (2011): HNPS2011; 16-21 (EL)
HNPS Advances in Nuclear Physics; Vol. 19 (2011): HNPS2011; 16-21 (EN)
Πνευματική ιδιοκτησία (c) 2019 D. Bonatsos, S. Karampagia, R. F. Casten (EL)
Hellenic Nuclear Physics Society
Annual Symposium of the Hellenic Nuclear Physics Society
Oral contributions



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