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BFKL Pomeron calculus: solution to equations for nucleus-nucleus scattering in the saturation domain

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Abstract

In this paper we solve the equation for nucleus-nucleus scattering in the BFKL Pomeron calculus, suggested by Braun [1–3]. We find these solutions analytically at high energies as well as numerically in the entire region of energies inside the saturation region. The semi-classical approximation is used to select out the infinite set of the parasite solutions. The nucleus-nucleus cross sections at high energy are estimated and compared with the Glauber-Gribov approach. It turns out that the exact formula gives the estimates that are very close to the ones based on Glauber-Gribov formula which is important for the practical applications.

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Authors and Affiliations

  1. Departamento de Física, Universidad Técnica Federico Santa María, and Centro Científico-Tecnológico de Valparaíso, Avda. España 1680, Casilla 110-V, Valparaíso, Chile

    Carlos Contreras & Eugene Levin

  2. Department of Particle Physics, School of Physics and Astronomy, Tel Aviv University, Tel Aviv, 69978, Israel

    Eugene Levin

  3. Escuela de Ingeniería Civil, Facultad de Ingeniería, Universidad de Valparaíso, Avda Errazuriz 1834, Valparaíso, Chile

    Rodrigo Meneses

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  1. Carlos Contreras
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  2. Eugene Levin
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Correspondence to Eugene Levin.

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ArXiv ePrint: 1302.0128

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Contreras, C., Levin, E. & Meneses, R. BFKL Pomeron calculus: solution to equations for nucleus-nucleus scattering in the saturation domain. J. High Energ. Phys. 2013, 85 (2013). https://doi.org/10.1007/JHEP04(2013)085

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