Dual bootstrap in cluster models

J. R. Freeman; Y. Zarmi

doi:10.1016/0550-3213(76)90535-6

Dual bootstrap in cluster models

J. R. Freeman, Y. Zarmi

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Abstract

The t-dependent dual bootstrap scheme is studied in various cluster models in the j-plane. The importance of the analytic structure of the input amplitudes and proper counting of the contribution of intermediate states to the unitarity sum is shown. Certain counting procedures that correlate clusters and gaps in rapidity lead to integral equations which are not of the usual Chew-Goldberger-Low type. It is these counting procedures that may lead to a self-consistent bootstrap scheme (i.e. no cuts in the output amplitude). Some problems related to the roles of the reggeon-reggeon amplitudes, both in the planar bootstrap and in the calculation of the pomeron, are briefly discussed.

Original language	English
Pages (from-to)	303-332
Number of pages	30
Journal	Nuclear Physics B
Volume	112
Issue number	2
DOIs	https://doi.org/10.1016/0550-3213(76)90535-6
State	Published - 20 Sep 1976
Externally published	Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/0550-3213(76)90535-6

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title = "Dual bootstrap in cluster models",

abstract = "The t-dependent dual bootstrap scheme is studied in various cluster models in the j-plane. The importance of the analytic structure of the input amplitudes and proper counting of the contribution of intermediate states to the unitarity sum is shown. Certain counting procedures that correlate clusters and gaps in rapidity lead to integral equations which are not of the usual Chew-Goldberger-Low type. It is these counting procedures that may lead to a self-consistent bootstrap scheme (i.e. no cuts in the output amplitude). Some problems related to the roles of the reggeon-reggeon amplitudes, both in the planar bootstrap and in the calculation of the pomeron, are briefly discussed.",

author = "Freeman, {J. R.} and Y. Zarmi",

note = "Funding Information: * Supported in part by the U.S.-Israel Binational Science Foundation.",

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AU - Freeman, J. R.

AU - Zarmi, Y.

N1 - Funding Information: * Supported in part by the U.S.-Israel Binational Science Foundation.

PY - 1976/9/20

Y1 - 1976/9/20

N2 - The t-dependent dual bootstrap scheme is studied in various cluster models in the j-plane. The importance of the analytic structure of the input amplitudes and proper counting of the contribution of intermediate states to the unitarity sum is shown. Certain counting procedures that correlate clusters and gaps in rapidity lead to integral equations which are not of the usual Chew-Goldberger-Low type. It is these counting procedures that may lead to a self-consistent bootstrap scheme (i.e. no cuts in the output amplitude). Some problems related to the roles of the reggeon-reggeon amplitudes, both in the planar bootstrap and in the calculation of the pomeron, are briefly discussed.

AB - The t-dependent dual bootstrap scheme is studied in various cluster models in the j-plane. The importance of the analytic structure of the input amplitudes and proper counting of the contribution of intermediate states to the unitarity sum is shown. Certain counting procedures that correlate clusters and gaps in rapidity lead to integral equations which are not of the usual Chew-Goldberger-Low type. It is these counting procedures that may lead to a self-consistent bootstrap scheme (i.e. no cuts in the output amplitude). Some problems related to the roles of the reggeon-reggeon amplitudes, both in the planar bootstrap and in the calculation of the pomeron, are briefly discussed.

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DO - 10.1016/0550-3213(76)90535-6

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JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 2

ER -

Dual bootstrap in cluster models

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