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SU(3) Symmetry and Scissors Mode Vibrations in Nuclei | | Yang Sun
; Cheng-Li Wu
; Kumar Bhatt
; Mike Guidry
; | | Date: |
7 Mar 2000 | | Journal: | Nucl.Phys. A703 (2002) 130-151 | | Subject: | Nuclear Theory; Mathematical Physics; Atomic and Molecular Clusters | nucl-th math-ph math.MP nucl-ex physics.atm-clus | | Affiliation: | University of Tennessee), Cheng-Li Wu (Chung Yuan Christian University), Kumar Bhatt (University of Mississippi), Mike Guidry (University of Tennessee | | 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$hbar$ 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. | | Source: | arXiv, nucl-th/0003011 | | Services: | Forum | Review | PDF | Favorites | |
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