Pairing of Parafermions of Order 2: Seniority Model
High Energy Physics - Phenomenology
2008-11-26 v3 High Energy Physics - Theory
Nuclear Theory
Abstract
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.
Cite
@article{arxiv.hep-ph/0308090,
title = {Pairing of Parafermions of Order 2: Seniority Model},
author = {Charles A. Nelson},
journal= {arXiv preprint arXiv:hep-ph/0308090},
year = {2008}
}
Comments
18 pages, no figures, no macros