Showing papers by "Fred Cooper published in 1973"
TL;DR: In this article, the moments of the multiplicity distribution of high-energy particle production were used to obtain a reasonable one-parameter fit to all the National Accelerator Laboratory (NAL) multiplicity data at 100, 200, and 300 GeV.
Abstract: Utilizing some assumptions about high-energy collisions that underlie thermodynamic and hydrodynamic models of high-energy particle production, we find simple relationships among the moments of the multiplicity distribution $〈{N}^{q}〉$ that are reasonably well satisfied by recent data from the National Accelerator Laboratory (NAL) on ${\ensuremath{\pi}}^{\ensuremath{-}}$ production. Using $〈{N}_{\mathrm{ch}}〉=2{{E}_{\mathrm{lab}}}^{\frac{1}{4}}$ we obtain a reasonable one-parameter fit to all the NAL multiplicity data except ${f}_{2}$ and ${f}_{3}$ at 100, 200, and 300 GeV.
6 citations
01 Jan 1973
TL;DR: In this article, the authors considered the hadrons to be normal modes of an underlying field theory possessing gauge invariance of the second kind, and showed that the electromagnetic field couples to the underlying gauge fields via minimal coupling, and that the form factors of the proton are given by a power series in the 3+1 dimensional Legendre polynomials.
Abstract: In this report we would like to show how one can describe the physical properties of the hadrons, such as the mass spectrum and electromagnetic form factors by considering the hadrons to be normal modes of an underlying field theory possessing gauge invariance of the second kind.1, 2, 3 In this picture, there is at each point in space-time an infinite number of irreducible tensorial fields \(\phi^{\mu_{1}\mu_{2}... \mu_{\textup{k}}}\) and Rarita-Schwinger fields, \(\Psi_{\alpha} \ ^{\mu_{1}\mu_{2}... \mu_{\textup{k}}}\). These fields have bilinear interactions dictated by gauge invariance, and the system (at each point in space-time) is a one-dimensional lattice with interactions between nearest neighbors in the Lorentz index space k. The physical particles are the normal modes of this system and therefore have structure. We show in Section 3 how the masses and coupling constants of the underlying field theory determine the parameters of the physical particles. If we assume that the electromagnetic field couples to the underlying gauge fields via minimal coupling, then we find that the form factors F1 and F2 of the proton are given by a power series in the 3+1 dimensional Legendre polynomials \({{P}_{k}}\left( {\frac{{p \cdot p'}}{{{{m}^{2}}}}} \right) \) and tnat an infinite number of narrow resonances appear in the amplitude for Compton scattering off hadrons.