TY - JOUR

T1 - The BFKL pomeron calculus in zero transverse dimensions

T2 - Diffractive processes and survival probability for central diffractive production

AU - Kozlov, M.

AU - Levin, E.

AU - Khachatryan, V.

AU - Miller, J.

N1 - Funding Information:
We want to thank Asher Gotsman, Edmond Iancu, Uri Maor and Al Mueller for very useful discussions on the subject of this paper. This research was supported in part by the Israel Science Foundation, founded by the Israeli Academy of Science and Humanities and by BSF grant # 20004019.

PY - 2007/7/15

Y1 - 2007/7/15

N2 - 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.

AB - 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.

KW - BFKL pomeron

KW - Diffractive cross sections

KW - Exact solution

KW - Mean field approach

KW - Pomeron loops

UR - http://www.scopus.com/inward/record.url?scp=34447292153&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysa.2007.04.017

DO - 10.1016/j.nuclphysa.2007.04.017

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AN - SCOPUS:34447292153

SN - 0375-9474

VL - 791

SP - 382

EP - 405

JO - Nuclear Physics A

JF - Nuclear Physics A

IS - 3-4

ER -