O(12) limit and complete classification of symmetry schemes in proton-neutron interacting boson model

Details O(12) limit and complete classification of symmetry schemes in proton-neutron interacting boson model O(12) limit and complete classification of symmetry schemes in proton-neutron interacting boson model

2002-05-03

arxiv.org/abs/nucl-th/0205012v1

Pramana60:59-74,2003

Physics

Nuclear Physics

Nuclear Theory

22 pages, 1 figure

Scientific paper

10.1007/BF02705069

It is shown that the proton-neutron interacting boson model (pnIBM) admits new symmetry limits with O(12) algebra which break F-spin but preserves the quantum number M_F. The generators of O(12) are derived and the quantum number `v' of O(12) for a given boson number N is determined by identifying the corresponding quasi-spin algebra. The O(12) algebra generates two symmetry schemes and for both of them, complete classification of the basis states and typical spectra are given. With the O(12) algebra identified, complete classification of pnIBM symmetry limits with good M_F is established.

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