Symmetry and the Regge Trajectory of the Pion
- 25 October 1968
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 174 (5), 1932-1936
- https://doi.org/10.1103/physrev.174.1932
Abstract
An off-shell generalization of symmetry is developed, which is applicable to unequal-mass reactions involving arbitrary spins. The symmetry breaking at is also investigated. These methods are used to analyze the hypothesis that the pion Regge trajectory has the Toller quantum number at zero momentum transfer, as seems to be implied by high-energy photoproduction data. We find that if this hypothesis is correct, then the pion trajectory is necessarily quite complicated. The trajectory must mix with another trajectory. The vertex function then shows a zero near , in agreement with some fits to high-energy data, but this zero is factorizable. Moreover, a model is exhibited that seems consistent with the hypothesis of partially conserved axial-vector current.
Keywords
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