August 21st, 2019

лошадь, диаграмма, Фейнман

Новый интеграл с бесселями взят!

Ответ, правда, немножко громоздкий, но то мелочи:))))

The Integral Over 2 Spherical Bessel Functions Multiplied by a Gaussian: https://arxiv.org/abs/1908.07374

In this paper, the integral (λ10λ20λ30)∫∞0rλ3+2exp(−αr2)jλ1(k1r)jλ2(k2r)dr, where k1, k2 and α are positive, is evaluated analytically. The result is a finite sum over the modified spherical Bessel function of the first kind. This result will be useful for nuclear scattering calculations, where harmonic oscillator nuclear wavefunctions are used or when evaluating momentum space matrix elements for a Gaussian potential.

7 pages
лошадь, диаграмма, Фейнман

Турецкий обзор о плазменных кильватерных методах ускорения

A Brief Review of Plasma Wakefield Acceleration: https://arxiv.org/abs/1908.07207

Plasma Wakefield Accelerators promise huge acceleration gradients that are three orders of magnitude greater than today's conventional radio frequency (RF) accelerators. These novel accelerators show also the potential of diminishing the size of the future accelerators nearly by the same factor. This review gives brief explanations and the working principles of the Plasma Wakefield Accelerators and shows the recent developments of the field. The current challenges are given and the potential future use of the Plasma Wakefield Accelerators are discussed.

11 pages, 3 figures, 2 tables