New angular momentum coupling method based on Wigner rotation theory

Abstract

We present a new method for constructing the total angular momentum of many-nucleon states. We find that the restrictions imposed by the fermion antisymmetry on the total state are fully absorbed into the single-j space when the broken rotational symmetry of the product state is restored by angular momentum projection. For different j-shells, any total angular momentum that obeys the selection rule is allowed, just as for non-identical particles. The method based on this reorganization is conceptually different from the traditional J and m schemes and may help to improve the efficiency of angular momentum coupling in nuclear many-body calculations.

7 pages, 0 figures

References in corpus (11)

• The Shell Model as Unified View of Nuclear Structure
• A microscopic benchmark-study of triaxiality in low-lying states of 76Kr
• Triaxial projected shell model study of gamma-vibrational bands in even-even Er isotopes
• State-of-the-art of beyond mean field theories with nuclear density functionals
• Nonaxial-octupole effect in superheavy nuclei
• Efficacy of the SU(3) scheme for ab initio large-scale calculations beyond the lightest nuclei
• Toward extremes of angular momentum: Application of the Pfaffian algorithm in realistic calculations
• Variational approximations to exact solutions in shell-model valence spaces: calcium isotopes in the pf-shell
• Projection of angular momentum via linear algebra
• Filter diagonalization of shell-model calculations
• Abnormal Bifurcation of the Double Binding Energy Differences and Proton-Neutron Pairing: Nuclei Close to $N=Z$ Line from Ni to Rb