CONTENT OF UNITARITY CONSTRAINTS ON A POMERON POLE OF INTERCEPT ONE

We present a consistent picture of a pomeron pole with intercept one, together with its cuts, which evades the decoupling arguments. We use the reggeon cut discontinuity formulae to introduce Gribov's reggeon calculus as an exact solution of multiparticle t-channel unitarity. We show how, withi...

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Main Authors: Cardy, J, White, A
Format: Journal article
Language:English
Published: 1974
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author Cardy, J
White, A
author_facet Cardy, J
White, A
author_sort Cardy, J
collection OXFORD
description We present a consistent picture of a pomeron pole with intercept one, together with its cuts, which evades the decoupling arguments. We use the reggeon cut discontinuity formulae to introduce Gribov's reggeon calculus as an exact solution of multiparticle t-channel unitarity. We show how, within the calculus, two-pomeron iterations of a singular kernel can be responsible for the zero in the triple-pomeron vertex. Using the concept of a bare pomeron pole as a multiperipheral production process which is subsequently renormalised by other effects, we apply the reggeon calculus analysis to inclusive cross sections. We find that the inclusive sum rule decoupling arguments are avoided because of the addition of enhanced absorptive corrections to the conventional Regge pole contributions. However, we show that in this picture the combined pole and two-pomeron cut contribution to the total cross section factories to order (ln s)-2. We also show that, when the correct helicity structure of the pomeron is taken into account, the s-channel unitarity condition for pomeron scattering amplitudes does not lead to any serious decouplings. © 1974.
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spelling oxford-uuid:99b420cb-4d70-4062-8f2b-1cd19fc108e52022-03-27T00:16:14ZCONTENT OF UNITARITY CONSTRAINTS ON A POMERON POLE OF INTERCEPT ONEJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:99b420cb-4d70-4062-8f2b-1cd19fc108e5EnglishSymplectic Elements at Oxford1974Cardy, JWhite, AWe present a consistent picture of a pomeron pole with intercept one, together with its cuts, which evades the decoupling arguments. We use the reggeon cut discontinuity formulae to introduce Gribov's reggeon calculus as an exact solution of multiparticle t-channel unitarity. We show how, within the calculus, two-pomeron iterations of a singular kernel can be responsible for the zero in the triple-pomeron vertex. Using the concept of a bare pomeron pole as a multiperipheral production process which is subsequently renormalised by other effects, we apply the reggeon calculus analysis to inclusive cross sections. We find that the inclusive sum rule decoupling arguments are avoided because of the addition of enhanced absorptive corrections to the conventional Regge pole contributions. However, we show that in this picture the combined pole and two-pomeron cut contribution to the total cross section factories to order (ln s)-2. We also show that, when the correct helicity structure of the pomeron is taken into account, the s-channel unitarity condition for pomeron scattering amplitudes does not lead to any serious decouplings. © 1974.
spellingShingle Cardy, J
White, A
CONTENT OF UNITARITY CONSTRAINTS ON A POMERON POLE OF INTERCEPT ONE
title CONTENT OF UNITARITY CONSTRAINTS ON A POMERON POLE OF INTERCEPT ONE
title_full CONTENT OF UNITARITY CONSTRAINTS ON A POMERON POLE OF INTERCEPT ONE
title_fullStr CONTENT OF UNITARITY CONSTRAINTS ON A POMERON POLE OF INTERCEPT ONE
title_full_unstemmed CONTENT OF UNITARITY CONSTRAINTS ON A POMERON POLE OF INTERCEPT ONE
title_short CONTENT OF UNITARITY CONSTRAINTS ON A POMERON POLE OF INTERCEPT ONE
title_sort content of unitarity constraints on a pomeron pole of intercept one
work_keys_str_mv AT cardyj contentofunitarityconstraintsonapomeronpoleofinterceptone
AT whitea contentofunitarityconstraintsonapomeronpoleofinterceptone