The BFKL pomeron calculus in zero transverse dimensions: Diffractive processes and survival probability for central diffractive production

M. Kozlov*, E. Levin, V. Khachatryan, J. Miller

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

In this paper we discuss the processes of diffractive production in the framework of the BFKL pomeron calculus in zero transverse dimension. Considering the diffractive production of a bunch of particles with not very large masses, namely, ln (M2 / m2) ≪ frac(1, over(α, ̄)S) ln (frac(Nc2, over(α, ̄)S2)), we found explicit formulae for calculation of the cross sections for the single and double diffractive production as well as for the value of the survival probability for the diffractive central production. These formulae include the influence of the correlations due to so-called pomeron loops on the values of all discussed observables. The comparison with the other approaches on the market is given. The main conclusion of this comparison: the Mueller-Patel-Salam-Iancu approximation gives sufficiently good descriptions and close to the exact result for elastic and diffractive cross section but considerable overshoot the value of the survival probability.

Original languageEnglish
Pages (from-to)382-405
Number of pages24
JournalNuclear Physics A
Volume791
Issue number3-4
DOIs
StatePublished - 15 Jul 2007

Funding

FundersFunder number
Israeli Academy of Science and Humanities
United States-Israel Binational Science Foundation20004019
Israel Science Foundation

    Keywords

    • BFKL pomeron
    • Diffractive cross sections
    • Exact solution
    • Mean field approach
    • Pomeron loops

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