High Energy Physics - Phenomenology
[Submitted on 7 Aug 2012 (v1), last revised 7 Feb 2013 (this version, v2)]
Title:Elastic $\rm{p\bar p}$ Scattering Amplitude at 1.8 TeV and Determination of Total Cross Section
View PDFAbstract:The data on p$\mathrm{\bar p}$ elastic scattering at 1.8 and 1.96 TeV are analysed in terms of real and imaginary amplitudes, in a treatment with high accuracy, covering the whole t-range and satisfying the expectation of dispersion relation for amplitudes and for slopes. A method is introduced for determination of the total cross section and the other forward scattering parameters and to check compatibility of E-710, CDF and the recent D0 data. Slopes $B_R$ and $ B_I$ of the real and imaginary amplitudes, treated as independent quantities, influence the amplitudes in the whole t-range and are important for the determination of the total cross section. The amplitudes are fully constructed, and a prediction is made of a marked dip in $ d\sigma/dt$ in the $|t|$ range 3 - 5 GeV$^2$ due to the universal contribution of the process of three gluon exchange.
Submission history
From: Erasmo Ferreira [view email][v1] Tue, 7 Aug 2012 18:32:37 UTC (30 KB)
[v2] Thu, 7 Feb 2013 19:14:05 UTC (43 KB)
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