Partial-wave analysis of dual amplitude with mandelstam analyticity
Teoretičeskaâ i matematičeskaâ fizika, Tome 20 (1974) no. 3, pp. 338-352
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The partial-wave projection of the dual amplitude with Mandelstam analyticity is studied.
It is shown that the resonances in the model can be completely Reggeized. From the point
of view of the structure of the $J$ plane, the preferable class of trajectories consists of those
that satisfy the asymptotic bound $O(\ln^{1+\varepsilon}s)\leqslant\vert\alpha(s)\vert\leqslant O(s^{1/2})$, for which the singularities in the $J$ plane are exhausted by poles on the parent and on the daughter trajectory and also at nonsense points with wrong signature. From the point of view of two-particle unitarity, trajectories that take a half-integral value at the threshold are preferable.
@article{TMF_1974_20_3_a6,
author = {L. L. Enkovskii},
title = {Partial-wave analysis of dual amplitude with mandelstam analyticity},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {338--352},
publisher = {mathdoc},
volume = {20},
number = {3},
year = {1974},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1974_20_3_a6/}
}
L. L. Enkovskii. Partial-wave analysis of dual amplitude with mandelstam analyticity. Teoretičeskaâ i matematičeskaâ fizika, Tome 20 (1974) no. 3, pp. 338-352. http://geodesic.mathdoc.fr/item/TMF_1974_20_3_a6/