On the Cuts of Scattering Amplitudes
โ Scribed by Pierpaolo Mastrolia
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 214 KB
- Volume
- 183
- Category
- Article
- ISSN
- 0920-5632
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Using unitarity, analyticity in the Lehmann-Martin ellipse, and asymptotic polynomial boundedness, rigorous high energy upper bounds are established on the derivatives of the absorptive parts A@, t) of elastic scattering amplitudes at i = 0. These are used to obtain a number of useful results includ
Nonlinear first-order equations, similar to Calogero's equations, are derived for the forward and backward one-dimensional scattering amplitudes. In particular, the even potential case yields two uncoupled equations for the even and odd parity phase shifts. The present approach provides a fast and a
## Abstract Let __D~j~__,__j__ = 1,2, be two bounded domains (obstacles) in โ^__n__^, __n__ โฅ 2, with the boundaries ฮ~__j__~. Let __A~j~__ be the scattering amplitude corresponding to __D~j~__. The Dirichlet boundary condition is assumed on ฮ~__j__~. A formula is derived for __A__:= __A__~1~ โ __A