Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2003-08-07
J.Phys.A37:2497-2508,2004
Physics
High Energy Physics
High Energy Physics - Phenomenology
18 pages, no figures, no macros
Scientific paper
10.1088/0305-4470/37/6/038
As generalizations of the fermion seniority model, four multi-mode Hamiltonians are considered to investigate some of the consequences of the pairing of parafermions of order two. 2-particle and 4-particle states are explicitly constructed for H_A = - G A^+ A with A^+}= 1/2 Sum c_{m}^+ c_{-m}^+ and the distinct H_C = - G C^+ C with C^+}= 1/2 Sum c_{-m}^+ c_{m}^+, and for the time-reversal invariant H_(-)= -G (A^+ - C^+)(A-C) and H_(+) = -G (A^+dagger + C^+)(A+C), which has no analogue in the fermion case. The spectra and degeneracies are compared with those of the usual fermion seniority model.
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