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October 14, 2024 to November 15, 2024
YITP
Asia/Tokyo timezone

Modified homotopy approach for diffractive production in the saturation region

Oct 17, 2024, 4:30 PM
30m
Panasonic Auditorium, Yukawa Hall (YITP)

Panasonic Auditorium, Yukawa Hall

YITP

1st and 2nd weeks (Hadron structure and interactions) 1-day Workshop (1st week)

Speaker

José Garrido (Universidad Técnica Federico Santa María)

Description

We present the results of using the homotopy method to solve the nonlinear evolution equation for diffractive production in deep inelastic scattering (DIS). Initially, we introduce part of the nonlinear corrections as the first step in this approach. This allows for an analytical solution to the simplified nonlinear evolution equation, taking into account the initial and boundary conditions. In the next step, we demonstrate that the perturbative procedure can be employed to address the remaining nonlinear corrections. The results show that these corrections are small and can be effectively estimated using a regular iterative procedure.

Primary authors

Carlos Contreras (Universidad Técnica Federico Santa María) Eugene Levin (Tel Aviv University) José Garrido (Universidad Técnica Federico Santa María) Rodrigo Meneses (Universidad de Valparaíso)

Presentation materials