Analytic derivation of an approximate SU(3) symmetry inside the symmetry triangle of the interacting boson approximation model

Journal Article · Sun May 15 00:00:00 EDT 2011 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.83.054313· OSTI ID:21502460

Bonatsos, Dennis; Karampagia, S ^[1]; Casten, R F ^[2]

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1. Institute of Nuclear Physics, National Center for Scientific Research 'Demokritos', GR-15310 Aghia Paraskevi, Attiki (Greece)
2. Wright Nuclear Structure Laboratory, Yale University, New Haven, Connecticut 06520 (United States)

Using a contraction of the SU(3) algebra to the algebra of the rigid rotator in the large-boson-number limit of the interacting boson approximation (IBA) model, a line is found inside the symmetry triangle of the IBA, along which the SU(3) symmetry is preserved. 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, and it lies within the Alhassid-Whelan arc of regularity, the unique valley of regularity connecting the SU(3) and U(5) vertices in the midst of chaotic regions. In addition to providing an explanation for the existence of the arc of regularity, the present line represents an example of an analytically determined approximate symmetry in the interior of the symmetry triangle of the IBA. The method is applicable to algebraic models possessing subalgebras amenable to contraction. This condition is equivalent to algebras in which the equilibrium ground state and its rotational band become energetically isolated from intrinsic excitations, as typified by deformed solutions to the IBA for large numbers of valence nucleons.

• OSTI ID: 21502460
• Journal Information: Physical Review. C, Nuclear Physics, Vol. 83, Issue 5; Other Information: DOI: 10.1103/PhysRevC.83.054313; (c) 2011 American Institute of Physics; ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
APPROXIMATIONS
BOSONS
CHAOS THEORY
CONTRACTION
EQUILIBRIUM
EXCITATION
FASTENING
GROUND STATES
INTERACTING BOSON MODEL
NUCLEONS
PHASE TRANSFORMATIONS
ROTATIONAL STATES
SPHERICAL CONFIGURATION
SU-3 GROUPS
SYMMETRY
U-5 GROUPS
BARYONS
CALCULATION METHODS
CONFIGURATION
ELEMENTARY PARTICLES
ENERGY LEVELS
ENERGY-LEVEL TRANSITIONS
EXCITED STATES
FABRICATION
FERMIONS
HADRONS
JOINING
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICS
NUCLEAR MODELS
SHELL MODELS
SU GROUPS
SYMMETRY GROUPS
U GROUPS