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Cross-sections from scalar field theory
Author(s) -
John W. Norbury,
Frank Dick,
Ryan B. Norman,
Khin Maung Maung
Publication year - 2010
Publication title -
canadian journal of physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.244
H-Index - 57
eISSN - 1208-6045
pISSN - 0008-4204
DOI - 10.1139/p10-002
Subject(s) - physics , scalar (mathematics) , quantum field theory , scalar field , elastic scattering , inelastic scattering , cross section (physics) , scattering , scattering cross section , field theory (psychology) , field (mathematics) , nuclear cross section , quantum electrodynamics , quantum mechanics , mathematical physics , geometry , mathematics , pure mathematics
A scalar quantum field theory method is used to calculate differential and total cross-sections for elastic and inelastic scattering in proton–proton collisions. When Mandelstam variables are used, the resulting formulas are simple and can be written in closed form. They display features very typical of elastic and inelastic scattering. The results show good agreement with total cross-section data for η meson production. Thus for this particular example, a simple scalar model can be used in place of a more complicated field theory with spin.

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