123493964
High-energy limits of Feynman-like diagrams with Veneziano amplitudes☆
Abstract We study a generalized box diagram where the Feynman propagators in the t -channel are replaced by Veneziano amplitudes. It is shown that the high-energy limit depends on the direction in which s tends to infinity in the complex plane. Moreover an unexpected dependence on the intercept of the input trajectory is obtained. Therefore, the usual procedure to derive in off-mass-shell theories the high-energy behaviour and the singularity structure in the j -plane from the asymptotic properties at s → −∞ is not justified in general.
123720258
CREMONA PROBLEMS RELATED TO STATIC PION--NUCLEON THEORY.
Certain mathematical aspects of the static pion-nucleon theory are investigated. We start from the fact that the theory in its uniformized form (cuts transformed away) leads to a system of functional equations for the S-matrix. The nonlinear mapping involved in the functional equations is a second-order Cremona transformation. After a summary of the general properties of Cremona transformations, the special transformations are studied which arise in the symmetric scalar and the Chew-Low theory respectively. The emphasis is on the possibility to separate, by means of a finite-order Cremona transformation, the functional equations into a set of uncoupled ones. For the symmetric scalar theory, the separation is trivial. For the Chew-Low theory, a proof of nonseparability is given.
123155416
Problems in the Design of Cryogenic Target Facilities for Electron Scattering Experiments
This paper describes a proposed target facility for use in a program of electron scattering experiments at the Naval Research Laboratory electron linear accelerator on inelastic electron scattering experiments on low atomic number elements as H1, H2, H3, He3 and He4, all of which in the liquid or solid state provide compact, high density, well localized, targets of pure elements. Problems discussed are: (a) electron energy dissipation in cryogenic targets by continuous electron beams of 5-60 MeV energy, (b) target design dimensions such as target diameter to beam diameter ratios, permitting maximum incident beam current, (c) treatment of pulsed electron beams using "instantaneous line source theory" in estimation of maximum permissible current densities, (d) vapor production and mechanical shock in targets based in part on bubble chamber theory, and (e) thermal radiation into the target shields from the scattering chamber wall.