TY - JOUR
T1 - Dual approach to Regge dips
AU - Gell, Y.
AU - Horn, D.
AU - Jacob, M.
AU - Weyers, J.
N1 - Funding Information:
The first success of duality was in its application to nN charge exchange (CEX): resonances in the rtN system reproduce indeed some properties characteristic of the high energy behaviour of the scattering amplitudes \[1 \]. In particular it turns out that the contribution of each prominent ~rN resonance to the A' and B amplitudes vanishes for values of the momentum transfer squared (t), which coincide with the values expected from a high energy analysis, namely t -----0.2 GeV 2 and t - -0.5 to -0.6 GeV 2 respectively. In the Regge language, one associates the zero at t -----0.6 with the first nonsense wrong-signature zero of the p trajectory, expected at least for the t-channel spin-flip amplitude B. However, duality and the absence of exotic resonances in the mr system lead to a p-f exchange degeneracy pattern which requires a nonsense choosing p trajectory and thus implies a zero at this t value (t--0.6) also for the non-flip t-channel n nucleon CEX amplitude, A '. Experi- * Supported in part by the U.S. National Bureau of Standards. :~ Now at CI~RN, Geneva.
PY - 1971/11/1
Y1 - 1971/11/1
N2 - The analysis of πN charge exchange suggests that some prominent features associated with Regge dips are also properties of each of the leading peripheral resonances, duality holding in an almost local sense. The use of local duality, together with a simple Regge prescription for the dips leads, however, to very strong restrictions for more complicated spin structures. We study as a test case πΔ charge exchange and show how such constraints could still work and produce a nonsense zero. The equivalence between the t-channel Regge pole and s-channel absorptive description of the dip structure is, however, lost. A different s-channel description emerges and leads to a strong prediction for two step decays of higher resonances. A qualitative discussion of a few other reaction is briefly presented.
AB - The analysis of πN charge exchange suggests that some prominent features associated with Regge dips are also properties of each of the leading peripheral resonances, duality holding in an almost local sense. The use of local duality, together with a simple Regge prescription for the dips leads, however, to very strong restrictions for more complicated spin structures. We study as a test case πΔ charge exchange and show how such constraints could still work and produce a nonsense zero. The equivalence between the t-channel Regge pole and s-channel absorptive description of the dip structure is, however, lost. A different s-channel description emerges and leads to a strong prediction for two step decays of higher resonances. A qualitative discussion of a few other reaction is briefly presented.
UR - https://www.scopus.com/pages/publications/49649154512
U2 - 10.1016/0550-3213(71)90294-X
DO - 10.1016/0550-3213(71)90294-X
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AN - SCOPUS:49649154512
SN - 0550-3213
VL - 33
SP - 379
EP - 396
JO - Nuclear Physics, Section B
JF - Nuclear Physics, Section B
IS - 2
ER -