Conservation laws in the $1f_{7/2}$ shell model of ${}^{48}$Cr

Abstract

Conservation laws in the $1f_{7/2}$ shell model of ${}^{48}$Cr found in numeric studies by Escuderos, Zamick and Bayman [A. Escuderos, L. Zamick, and B. F. Bayman, arXiv:0506050 (2005)] and me [K. Neergård, Phys. Rev. C \textbf{90}, 014318 (2014)] are explained by symmetry under particle-hole conjugation and the structure of the irreps of the symplectic group Sp(4). A generalization is discussed.

Some typos corrected

References in corpus (2)

• Pairing and Isospin Symmetry in Proton-Rich Nuclei
• Symplectic group structure of the 48Cr, 88Ru, and 92Pd ground states

Cited by in corpus (2)

• Fock space dualities
• Shell Model Symmetries-Honoring Franco Iachello