| Article | |
| Report number | CERN-TH-1345 |
| Title | Harmonic-oscillator pattern arising from an algebraic approach to chiral symmetry |
| Author(s) | Buccella, F ; Celeghini, E ; Savoy, C A |
| Affiliation | (CERN) |
| Publication | 1972 |
| In: | Nuovo Cimento A 7 ser.2, 2 (1972) pp.281-92 |
| Subject category | Particle Physics - Theory |
| Abstract | The Weinberg equation for the (mass)/sup 2/ operator (Q/sub 5//sup +/, (Q/sub 5//sup +/, m/sup 2/))=0, between meson states, is saturated in a perturbative approach. The generator Z of the mixing operators is completely established as Z=(W*M)/sub z/, where W is the W-spin operator and M is the co-ordinate of the three-dimensional harmonic oscillator. In a perturbative expansion of the (mass)/sup 2/ operator, the lowest term consists of two parts, the harmonic-oscillator energy and a spin-orbit coupling of the form (-1)/sup L+1/(L.S+/sup 1///sub 2 /). The resulting (mass)/sup 2/ consists of families of equispaced linearly rising trajectories. (11 refs). |
Record created 2005-08-19, last modified 2010-06-10
