Exact Q-Deformed Dyson Expansion for the Nuclear J=5/2 Shell
Nuclear Theory
2019-08-17 v1
Abstract
The quon algebra, which interpolates between the Bose and Fermi algebras and depends on a free paramenter , is used to generate a deformed Dyson boson expansion of the quadrupole operator. Then we obtain a quadrupole-quadrupole hamiltonian, for a single j-shell, in terms of this deformed bosonic operator. The hamiltonian is diagonalized and its eigenvalues are compared with the ones obtained from the fermionic quadrupole-quadrupole hamiltonian. The deformation parameter helps in achieving the correct energy levels, what cannot be encountered in practice with the usual non-deformed Dyson expansion.
Cite
@article{arxiv.nucl-th/9701061,
title = {Exact Q-Deformed Dyson Expansion for the Nuclear J=5/2 Shell},
author = {S. S. Avancini and J. R. Marinelli and D. P. Menezes and M. M. Watanabe de Moraes and N. Yoshinaga},
journal= {arXiv preprint arXiv:nucl-th/9701061},
year = {2019}
}
Comments
11 pages, latex file, 1 figure (available upon request)