Symplectic structure and monopole strength in {sup 12}C

Journal Article · Tue Feb 15 00:00:00 EST 2011 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.83.024301· OSTI ID:21499402

Yoshida, T; Itagaki, N; Kato, K ^[1]

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1. Center for Nuclear Study, Graduate School of Science, University of Tokyo, 7-3-1 Hongo, 133-0033 Tokyo (Japan)

The relation between the monopole transition strength and existence of cluster structure in the excited states is discussed based on an algebraic cluster model. The structure of {sup 12}C is studied with a 3{alpha} model, and the wave function for the relative motions between {alpha} clusters are described by the symplectic algebra Sp(2, R){sub z}, which corresponds to the linear combinations of SU(3) states with different multiplicities. Introducing Sp(2,R){sub z} algebra works well for reducing the number of the basis states, and it is also shown that states connected by the strong monopole transition are classified by a quantum number {Lambda} of the Sp(2,R){sub z} algebra.

• OSTI ID: 21499402
• Journal Information: Physical Review. C, Nuclear Physics, Vol. 83, Issue 2; Other Information: DOI: 10.1103/PhysRevC.83.024301; (c) 2011 American Institute of Physics; ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
CARBON 12
CLUSTER MODEL
EXCITED STATES
MONOPOLES
MULTIPLICITY
SU-3 GROUPS
WAVE FUNCTIONS
CARBON ISOTOPES
ENERGY LEVELS
EVEN-EVEN NUCLEI
FUNCTIONS
ISOTOPES
LIE GROUPS
LIGHT NUCLEI
MATHEMATICAL MODELS
NUCLEAR MODELS
NUCLEI
STABLE ISOTOPES
SU GROUPS
SYMMETRY GROUPS