High energy amplitude in the dipole approach with pomeron loops: asymptotic solution
✍ Scribed by E. Levin
- Book ID
- 103866014
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 272 KB
- Volume
- 763
- Category
- Article
- ISSN
- 0375-9474
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✦ Synopsis
In this paper an analytical solution for the high energy scattering amplitude is suggested. This solution has several unexpected features: (i) the asymptotic amplitude is a function of dipole sizes and, therefore, this amplitude shows the gray disc structure at high energy, instead of black disc behaviour which was expected; (ii) the amplitude approaches the asymptotic limit in the same way as the solution to the Balitsky-Kovchegov equation does (∝ exp(-CY 2 )), but the coefficient C in eight times smaller than for the Balitsky-Kovchegov equation; (iii) the process of merging of two dipoles into one, only influences the high energy asymptotic behaviour by changing the initial condition from Z(Y ; [
The value of γ 0 is determined by the process of merging of two dipoles into one. With this new initial condition the Balitsky-JIMWLK approach describes the high energy asymptotic behaviour of the scattering amplitude without any modifications recently suggested.