Analytical asymptotics for hard diffraction

نویسندگان

چکیده

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

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ژورنال

عنوان ژورنال: Physical review

سال: 2021

ISSN: ['0556-2813', '1538-4497', '1089-490X']

DOI: https://doi.org/10.1103/physrevd.104.034026