Pairing of parafermions of order 2: seniority model
Abstract
As generalizations of the fermion seniority model, four multimode Hamiltonians are considered to investigate some of the consequences of the pairing of parafermions of order 2. Two and fourparticle states are explicitly constructed for H_{A} equiv GAdaggerA with A^{\dagger } \equiv \frac{1}{2} \sum_{m\gt0} c_{m}^{\dagger }c_{m}^{\dagger } and the distinct H_{C} equiv GCdaggerC with C^{\dagger } \equiv \frac{1}{2} \sum_{m\gt0} c_{m}^{\dagger }c_{m}^{\dagger } , and for the timereversal invariant H_{()} equiv G(Adagger  Cdagger)(A  C) and H_{(+)} equiv G(Adagger + Cdagger)(A + C), which has no analogue in the fermion case. The spectra and degeneracies are compared with those of the usual fermion seniority model.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 February 2004
 DOI:
 10.1088/03054470/37/6/038
 arXiv:
 arXiv:hepph/0308090
 Bibcode:
 2004JPhA...37.2497N
 Keywords:

 High Energy Physics  Phenomenology;
 High Energy Physics  Theory;
 Nuclear Theory
 EPrint:
 18 pages, no figures, no macros