A UNIFIED DYNAMICAL APPROACH TO HIGH- AND LOW-ENERGY STRONG INTERACTIONS
Abstract
A discussion is presented of work conducted on lowenergy scattering, forward dispersion relations and peripheral contributions to high-energy, low- mementum transfer scattering, in which the region of application is enlarged, and the dynamics of high- and low-energy strong interactions are treated in a unified way. General consequences of the Mandeletam representation are discussed to understand low-energy scattering potential. The strip approximation is discussed which is introduced to the extent that the generalized one-meson- pi potential can be calculated. The asymptotic behavior and oscillations in the strip directions are described for the occurrence of forward-diffraction peaks ih the physical regions of high energies and low-momentumtum transfers near the strip. An outline is included of investigations proposed or in progress for: computer calculations of the spectral functions generated by iteration of a non- relativistic Yukawa potential; a calculation of adiabatic pi - pi scattering for increasihg values of the interaction parameter, lambda ; and the application of analogous methods to pi -N, and N-N scattering. (B.O.G.)
- Authors:
- Publication Date:
- Research Org.:
- LBNL (Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States))
- Sponsoring Org.:
- US AEC
- OSTI Identifier:
- 4863673
- Report Number(s):
- UCRL-9728; CERN-61-22
- NSA Number:
- NSA-15-031325
- DOE Contract Number:
- W-7405-Eng-48
- Resource Type:
- Technical Report
- Country of Publication:
- United States
- Language:
- English
- Subject:
- PHYSICS; CERN; CONFERENCE; DISPERSIONS; ELECTRIC POTENTIAL; ENERGY; INTERACTIONS; MOMENTUM; NUCLEAR MODELS; NUCLEONS; NUMERICALS; OSCILLATIONS; PIONS; SCATTERING; SPECTRA; YUKAWA POTENTIAL
Citation Formats
Frautschi, S. C., and Chew, Geoffrey. A UNIFIED DYNAMICAL APPROACH TO HIGH- AND LOW-ENERGY STRONG INTERACTIONS. United States: N. p., 1961.
Web. doi:10.2172/4863673.
Frautschi, S. C., & Chew, Geoffrey. A UNIFIED DYNAMICAL APPROACH TO HIGH- AND LOW-ENERGY STRONG INTERACTIONS. United States. doi:10.2172/4863673.
Frautschi, S. C., and Chew, Geoffrey. Wed .
"A UNIFIED DYNAMICAL APPROACH TO HIGH- AND LOW-ENERGY STRONG INTERACTIONS". United States.
doi:10.2172/4863673. https://www.osti.gov/servlets/purl/4863673.
@article{osti_4863673,
title = {A UNIFIED DYNAMICAL APPROACH TO HIGH- AND LOW-ENERGY STRONG INTERACTIONS},
author = {Frautschi, S. C. and Chew, Geoffrey},
abstractNote = {A discussion is presented of work conducted on lowenergy scattering, forward dispersion relations and peripheral contributions to high-energy, low- mementum transfer scattering, in which the region of application is enlarged, and the dynamics of high- and low-energy strong interactions are treated in a unified way. General consequences of the Mandeletam representation are discussed to understand low-energy scattering potential. The strip approximation is discussed which is introduced to the extent that the generalized one-meson- pi potential can be calculated. The asymptotic behavior and oscillations in the strip directions are described for the occurrence of forward-diffraction peaks ih the physical regions of high energies and low-momentumtum transfers near the strip. An outline is included of investigations proposed or in progress for: computer calculations of the spectral functions generated by iteration of a non- relativistic Yukawa potential; a calculation of adiabatic pi - pi scattering for increasihg values of the interaction parameter, lambda ; and the application of analogous methods to pi -N, and N-N scattering. (B.O.G.)},
doi = {10.2172/4863673},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Wed May 31 00:00:00 EDT 1961},
month = {Wed May 31 00:00:00 EDT 1961}
}
-
The Mandelstam diagram and strip approximation are reviewed. Asymptotic behavior in strip directions and dynamical equations for strips are reviewed. (L.T.W.)
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