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Article Dans Une Revue Physical Review D Année : 2021

Analytical asymptotics for hard diffraction

Résumé

We show that the cross section for diffractive dissociation of a small onium off a large nucleus at total rapidity $Y$ and requiring a minimum rapidity gap $Y_{\text{gap}}$ can be identified, in a well-defined parametric limit, with a simple classical observable on the stochastic process representing the evolution of the state of the onium, as its rapidity increases, in the form of color dipole branchings: It formally coincides with twice the probability that an even number of these dipoles effectively participate in the scattering, when viewed in a frame in which the onium is evolved to the rapidity $Y-Y_{\text{gap}}$. Consequently, finding asymptotic solutions to the Kovchegov-Levin equation, which rules the $Y$-dependence of the diffractive cross section, boils down to solving a probabilistic problem. Such a formulation authorizes the derivation of a parameter-free analytical expression for the gap distribution. Interestingly enough, events in which many dipoles interact simultaneously play an important role, since the distribution of the number $k$ of dipoles participating in the interaction turns out to be proportional to $1/[k(k-1)]$.
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Dates et versions

hal-03191133 , version 1 (26-02-2024)

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Anh Dung Le, Alfred H. Mueller, Stéphane Munier. Analytical asymptotics for hard diffraction. Physical Review D, 2021, 104, pp.034026. ⟨10.1103/PhysRevD.104.034026⟩. ⟨hal-03191133⟩
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