E. Etim

A vector meson dominance approach to scale invariance

Abstract A model of scale invariance for both deep inelastic scattering and e + e − annihilation incorporating an infinite number of vector mesons is proposed. Structure functions are calculated explicitly in good agreement with experiments. Precocious scaling arises naturally in the model.

Massive lepton pair production and the size of the photon

Abstract An intuitive picture for understanding scaling in hadronic as well as non hadronic processes is proposed which makes use of shrinkage of the size of the particle with its mass. An explicit model in agreement with experiment is also discussed.

Hadronic contributions to the muon anomalous magnetic moment

Abstract The hadronic contribution to the muon anomalous magnetic moment is calculated using recent results from colliding beam experiments; a value of (68 ± 9) × 10 −9 is obtained.

Gribov-Lipatov reciprocity from conservation constraints and O(4) symmetry

Abstract The physical basis of the Gribov-Lipatov reciprocity is traced to energy-momentum conservation, N -plane analyticity and O(4) symmetry.

Deep inelastic structure functions from collinear SU(1,1) symmetry

Abstract We exhibit a model of deep inelastic processes, based on conformal symmetry arguments, in which the structure functions for the scattering and annihilation channels both scale and are related by the Gribov-Lipatov relation. Analytic continuation, however, is not valid in general.

Comments on the leptonic couplings of the ψ(3.1 GeV) resonance

ConclusionAs discussed previously, taking the dip which is seen in the e+e− data about 1 MeV below the peak at its face value, one is led to demand a large total width which however cannot now be attributed to known leptonic channels. The problem of the destructive interference before the resonance can be partially understood provided one employs a negative-metric boson of the Lee-Wick type. Also, the charge asymmetry in μ+μ- channel as observed requires one to relax the pureV-A structure and thus give up chirality. Lastly, the possibility of spin other than 1 is still open. We hope to return to these problems elsewhere.

Inversion transformation in quantum field theory and reciprocity constraints

Abstract The transformation by reciprocal radii, as an isomorphism between the two collinear SU(1, 1) subgroups of the conformal group in the scaling limit, is shown to induce the reciprocity relations between scattering and annihilation structure functions.

Possible implications of the Gribov-Lipatov reciprocity relations in inclusive processes

Some of the consequences of the Gribov--Lipatov reciprocity relatiow for structure functions that will be tested at Frascati and other e/sup +/e/sup -/ storage-ring facilities are discussed. A plot of the pion structure functions for various values of the annihilation parameter

FIELD--CURRENT IDENTITY AND VACUUM POLARIZATION EFFECTS OF HADRONS.

Abstract Vacuum polarization effects of hadrons are calculated in the vector dominance approximation and an application is made in evaluating π 0 - ω interference in the process e + + e - → π + + π - .