2000/03/31 by Yang Sun, Cheng-Li Wu, Kumar Bhatt +1 · 1 citation
Chemistry · Mathematics · Physics and Astronomy · #Advanced NMR Techniques and Applications #Nuclear physics research studies #Quantum Chromodynamics and Particle Interactions #math-ph #math.MP #nucl-ex #nucl-th #physics.atm-clus
paper · pdf · doi:10.1016/s0375-9474(01)01457-9
published as Nucl.Phys. A703 (2002) 130-151 · 25 pages, 4 eps figures, final version accepted by Nucl. Phys. A
arxiv created 2001/11/09 · openalex publication_date 2002/05/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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-1ℏ 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.