119898052
Euclidean Yang-Mills theory in constant background fields and unstable modes
Within Euclidean SU(2) Yang-Mills theory considered in certain constant non-Abelian background fields the explicit construction of gluon and ghost Green functions is presented, paying special attention to unstable modes. The propagators obtained turn out to be purely real. The propagator expressions given for two different background fields are related to each other in the coincidence limit of these background configurations. On the basis of the derived results the imaginary part of the Euclidean Yang-Mills theory effective action is discussed, showing that no higher-loop corrections beyond the well known 1-loop result appear. Also arguments are given that the 1-loop imaginary part should not be trusted.
122415880
Discontinuity of the Regge trajectory in the dual resonance model
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.
121260932
On the existence of doubly negative charged heavy ions
Abstract In former investigations for the production of negative ions with a Penning source some peaks appeared in the mass spectra which correspond to a mass half of that of the negative ion X − . The electric and magnetic deflection of these ion beams has shown that these beams are particularly composed of doubly charged negative ions. Beam intensities of O −− , Te −− , Bi −− , F −− , Cl −− , Br −− and I −− were measured on the order of 0.2 to 2 nA.
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.