The slope, curvature, and higher parameters in $pp$ and $\bar{p}p$ scattering, and the extrapolation of measurements of $dσ(s,t)/dt$ to $t=0$

Martin M. Block; Loyal Durand; Phuoc Ha; Francis Halzen

doi:10.1103/PhysRevD.93.114009

paper

The slope, curvature, and higher parameters in $pp$ and $p ˉ p$ scattering, and the extrapolation of measurements of $d σ (s, t) / d t$ to $t = 0$

arXiv:1605.00152 · doi:10.1103/PhysRevD.93.114009

Abstract

We study the effects of curvature in the expansion of the logarithm of the differential elastic scattering cross section near $t = 0$ as $d σ (s, t) / d t = d σ (s, 0) / d t \times exp (B t + C t^{2} + D t^{3} \dots)$ in an eikonal model for $pp$ and $p ˉ p$ scattering, and use the results to discuss the extrapolation of measured differential cross sections and the slope parameters $B$ to $t = - q^{2} = 0$ . We find that the curvature effects represented by the parameters $C$ and $D$ , while small, lead to significant changes in the forward slope parameter relative to that determined in a purely exponential fit, and to smaller but still significant changes in the forward elastic scattering and total cross sections. Curvature effects should therefore be considered in future analyses or reanalyses of the elastic scattering data.

13 pages, 7 figures

The slope, curvature, and higher parameters in $pp$ and $p ˉ p$ scattering, and the extrapolation of measurements of $d σ (s, t) / d t$ to $t = 0$

Abstract

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The slope, curvature, and higher parameters in pp and pˉ​p scattering, and the extrapolation of measurements of dσ(s,t)/dt to t=0

Abstract

References in corpus (5)

Cited by in corpus (6)

The slope, curvature, and higher parameters in $pp$ and $p ˉ p$ scattering, and the extrapolation of measurements of $d σ (s, t) / d t$ to $t = 0$