Rigorous lower bounds on the imaginary parts of the scattering amplitudes and the positions of their zeros

Rigorous lower bounds are derived from axiomatic field theory, by invoking analyticity and unitarity of the S-matrix. The bounds are expressed in terms of the total cross section and the slope parameter, and are found to be compatible with CERN experimental pp scattering data. It is also shown that...

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Detalles Bibliográficos
Autor principal: Uchiyama, T
Lenguaje:eng
Publicado: 1974
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1103/PhysRevD.10.999
http://cds.cern.ch/record/873534
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author Uchiyama, T
author_facet Uchiyama, T
author_sort Uchiyama, T
collection CERN
description Rigorous lower bounds are derived from axiomatic field theory, by invoking analyticity and unitarity of the S-matrix. The bounds are expressed in terms of the total cross section and the slope parameter, and are found to be compatible with CERN experimental pp scattering data. It is also shown that the calculated lower-bound values imply non-existence of zeros for -t<or=0.45 (GeV/c)/sup 2/, and an interaction radius of 1 fm. (5 refs).
id cern-873534
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1974
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spelling cern-8735342019-09-30T06:29:59Zdoi:10.1103/PhysRevD.10.999http://cds.cern.ch/record/873534engUchiyama, TRigorous lower bounds on the imaginary parts of the scattering amplitudes and the positions of their zerosParticle Physics - TheoryRigorous lower bounds are derived from axiomatic field theory, by invoking analyticity and unitarity of the S-matrix. The bounds are expressed in terms of the total cross section and the slope parameter, and are found to be compatible with CERN experimental pp scattering data. It is also shown that the calculated lower-bound values imply non-existence of zeros for -t<or=0.45 (GeV/c)/sup 2/, and an interaction radius of 1 fm. (5 refs).oai:cds.cern.ch:8735341974
spellingShingle Particle Physics - Theory
Uchiyama, T
Rigorous lower bounds on the imaginary parts of the scattering amplitudes and the positions of their zeros
title Rigorous lower bounds on the imaginary parts of the scattering amplitudes and the positions of their zeros
title_full Rigorous lower bounds on the imaginary parts of the scattering amplitudes and the positions of their zeros
title_fullStr Rigorous lower bounds on the imaginary parts of the scattering amplitudes and the positions of their zeros
title_full_unstemmed Rigorous lower bounds on the imaginary parts of the scattering amplitudes and the positions of their zeros
title_short Rigorous lower bounds on the imaginary parts of the scattering amplitudes and the positions of their zeros
title_sort rigorous lower bounds on the imaginary parts of the scattering amplitudes and the positions of their zeros
topic Particle Physics - Theory
url https://dx.doi.org/10.1103/PhysRevD.10.999
http://cds.cern.ch/record/873534
work_keys_str_mv AT uchiyamat rigorouslowerboundsontheimaginarypartsofthescatteringamplitudesandthepositionsoftheirzeros

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