2011/01/22 by Norman D. Cook, Cook, Norman D.
Engineering · Physics and Astronomy · #Control and Stability of Dynamical Systems #FOS: Physical sciences #Nuclear Theory (nucl-th) #Quantum Physics (quant-ph) #nucl-th #quant-ph
paper · pdf · doi:10.48550/arxiv.1101.4251
8 pages, 3 figures, 1 table
arxiv created 2011/01/22 · openalex publication_date 2011/01/22 · arxiv updated 2011/01/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The symmetries inherent to the nuclear version of the Schrödinger wave-equation are identical to the symmetries of a face-centered cubic lattice, as already noted by Wigner in 1937 in the initial development of the independent-particle model (IPM) of nuclear structure. The significance of the identity is that it implies a high-density version of the IPM that has the gross properties of a liquid-drop, rather than a diffuse, chaotic gas of nucleons. As a consequence, all of the predictive strengths of the liquid-drop model (binding energies, radii, nuclear densities, vibrational states, etc.) and the "independent-particle" predictions of the IPM (nuclear spins, parities, magnetic moments, etc.) are retained in the lattice.