SU(3) Symmetry and Scissors Mode Vibrations in Nuclei

Abstract

We show that a nearly perfect SU(3) symmetry emerges from an extended Projected Shell Model. Starting from a deformed potential we construct separate bases for neutron and proton collective rotational states by exact angular momentum projection. These rotational states are then coupled by diagonalizing a residual pairing plus quadrupole interaction. The states obtained exhibit a one-to-one correspondence with an SU(3) spectrum up to high angular momentum and excitation, and their wave functions have a near-maximal overlap with the SU(3) states. They can also be classified as rotational bands built on spin-1$\hslash$ phonon excitations, which may correspond to a geometrical scissors mode and its generalizations. This work is a direct demonstration that numerical angular momentum projection theory extends the Elliott's original idea to heavy nuclear systems.

25 pages, 4 eps figures, final version accepted by Nucl. Phys. A

References in corpus (2)

• Multi-Phonon $\gamma$-Vibrational Bands and the Triaxial Projected Shell Model
• Superdeformed Band in ^{36}Ar Described by Projected Shell Model

Cited by in corpus (9)

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• The Nuclear Scissors Mode in a Solvable Model
• Shell model method for Gamow-Teller Transitions in heavy, deformed nuclei
• Multi-Shell Shell Model for Heavy Nuclei
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• Scissors Modes:The first overtone
• Entanglement in the states of the Two-Rotor-Model
• Scissors Modes: The elusive breathing overtone
• Inter-band B(E1) Strengths in Heavy Nuclei based on the Proxy-SU(3) Scheme