Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2002-12-16
Phys.Rev. D67 (2003) 054020
Physics
High Energy Physics
High Energy Physics - Phenomenology
16 pages, 7 figures, aps-revtex, wording changes, corrected typos, to appear in Physical Review D
Scientific paper
10.1103/PhysRevD.67.054020
Analytic models for hadron-hadron scattering are characterized by analytical parametrizations for the forward amplitudes and the use of dispersion relation techniques to study the total cross section $\sigma_{tot}$ and the $\rho$ parameter. In this paper we investigate four aspects related to the application of the model to $pp$ and $\bar{p}p$ scattering, from accelerator to cosmic-ray energies: 1) the effect of different estimations for $\sigma_{tot}$ from cosmic-ray experiments; 2) the differences between individual and global (simultaneous) fits to $\sigma_{tot}$ and $\rho$; 3) the role of the subtraction constant in the dispersion relations; 4) the effect of distinct asymptotic inputs from different analytic models. This is done by using as a framework the single Pomeron and the maximal Odderon parametrizations for the total cross section. Our main conclusions are the following: 1) Despite the small influence from different cosmic-ray estimations, the results allow us to extract an upper bound for the soft pomeron intercept: $1 + \epsilon = 1.094$; 2) although global fits present good statistical results, in general, this procedure constrains the rise of $\sigma_{tot}$; 3) the subtraction constant as a free parameter affects the fit results at both low and high energies; 4) independently of the cosmic-ray information used and the subtraction constant, global fits with the odderon parametrization predict that, above $\sqrt s \approx 70$ GeV, $\rho_{pp}(s)$ becomes greater than $\rho_{\bar{p}p}(s)$, and this result is in complete agreement with all the data presently available. In particular, we infer $\rho_{pp} = 0.134 \pm 0.005$ at $\sqrt s = 200$ GeV and $0.151 \pm 0.007$ at 500 GeV (BNL RHIC energies).
Avila Regina F.
Luna E. G. S.
Menon Marcio J.
No associations
LandOfFree
Analytic models and forward scattering from accelerator to cosmic-ray energies does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Analytic models and forward scattering from accelerator to cosmic-ray energies, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Analytic models and forward scattering from accelerator to cosmic-ray energies will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-259163