๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On the relationship between the Glauber approximation and the watson multiple-scattering theory

โœ Scribed by J.M Eisenberg

Publisher
Elsevier Science
Year
1972
Tongue
English
Weight
682 KB
Volume
71
Category
Article
ISSN
0003-4916

No coin nor oath required. For personal study only.

โœฆ Synopsis

The relationship between Watson's multiple-scattering theory and Glauber's approximate multiple-scattering theory for high energies is explored, and a direct derivation of the latter from the former is presented in the context of potential scattering. The cancelations between all off-shell contributions to the first A terms of the Watson series for the transition matrix (for a system of A scatterers) and the remainder of the infinite series are explicitly exhibited in the high-energy limit. This cancelation is complete for A = 2, but is only partial when A > 3 in which situation on-shell components of the first A terms also enter into canceling the remainder of the series. A comparison is given between these results and those of previous efforts to derive Glauber's approximation from the Watson theory.

INTR~OUCTION

๐Ÿ“œ SIMILAR VOLUMES

On the relationship between the Glauber
On the relationship between the Glauber approximation and the Watson multiple-scattering theory: J. M. Eisenberg. Department of Physics, University of Virginia, Charlottesville, Virginia 22901
๐Ÿ“‚ Article ๐Ÿ“… 1972 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 87 KB

The constitutive map is introduced to replace the familiar relation ij : EE and B = &. Its objective is a rigorous functional separation between field-and constitutive equations. The possibility to implement this functional separation is shown to depend critically on the introduction of electric cha

The impulse, multiple-scattering, glaube
The impulse, multiple-scattering, glauber and no-recoil approximations
โœ E.A. Remler ๐Ÿ“‚ Article ๐Ÿ“… 1971 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 563 KB

It is pointed out that the usual forms of the impulse approximation and multiple scattering equations are deficient in a no-recoil limit. This is the limit in which the scatterer suffers negligable recoil during intermediate collisions leading to a given final state. A version of the impulse approxi

THE RELATIONSHIP BETWEEN HOT-DECK MULTIP
THE RELATIONSHIP BETWEEN HOT-DECK MULTIPLE IMPUTATION AND WEIGHTED LIKELIHOOD
โœ MARIE REILLY; MARGARET PEPE ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 331 KB ๐Ÿ‘ 2 views

Hot-deck imputation is an intuitively simple and popular method of accommodating incomplete data. Users of the method will often use the usual multiple imputation variance estimator which is not appropriate in this case. However, no variance expression has yet been derived for this easily implemente