Deformed fermion realization of sp(4) and its reductions
A specific q-deformation of the compact symplectic sp(4) algebra, one that is suitable for nuclear physics applications, is realized in terms of q-deformed fermion creation and annihilation operators of the shell-model. The generators of the algebra close on four distinct realizations of the uq(2) sub-algebra. These reductions, which correspond to different pairing interactions, yield a complete classification of the basis states. An analysis of the role of the q-deformation is based on a comparison of the results for energies of the lowest isovector-paired 0+ states in the deformed and non-deformed cases.
Publication Source (Journal or Book title)
Acta Physica Hungarica, Series A: Heavy Ion Physics
Georgieva, A., Sviratcheva, K., Gueorguiev, V., & Draayer, J. (2004). Deformed fermion realization of sp(4) and its reductions. Acta Physica Hungarica, Series A: Heavy Ion Physics, 19 (3-4), 227-231. https://doi.org/10.1556/APH.19.2004.3-4.11