π±p, K±p, pp, and p¯p elastic scattering from 50 to 175 GeV/c

Abstract

The differential cross sections for the elastic scattering of ${\pi }^{+}$, ${\pi }^{-}$, $K^{+}$, $K^{-}$, $p$, and $\overline{p}$ on protons have been measured in the $t$ interval -0.04 to -0.75 Ge${\mathrm{V}}^2$ at five momenta: 50, 70, 100, 140, and 175 GeV/c. The $t$ distributions have been parametrized by the quadratic exponential form $\frac{d\sigma }{\mathrm{dt}}=A\exp \mathrm{}\left(B\right|t|+C{\mathrm{}\left|t\right|\mathrm{}}^2)$ and the energy dependence has been described in terms of a single-pole Regge model. The $\mathrm{pp}$ and $K^{+}p$ diffraction peaks are found to shrink with ${\alpha }^{\prime }\sim 0.20 \mathrm{and} \sim 0.15$ Ge${\mathrm{V}}^{-2\mathrm{}}$, respectively. The $\overline{p}p$ diffraction peak is antishrinking while ${\pi }^{\pm }p$ and $K^{-}p$ are relatively energy-independent. Total elastic cross sections are calculated by integrating the differential cross sections. The rapid decline in ${\sigma }_{\mathrm{el}}$ observed at low energies has stopped and all six reactions approach relatively constant values of ${\sigma }_{\mathrm{el}}$. The ratio of $\frac{{\sigma }_{\mathrm{el}}}{{\sigma }_{\mathrm{tot}}}$ approaches a constant value for all six reactions by 100 GeV, consistent with the predictions of the geometric-scaling hypothesis. This ratio is ∼0.18 for $\mathrm{pp}$ and $\overline{p}p$, and ∼0.12-0.14 for ${\pi }^{\pm }p$ and $K^{\pm }p$. A crossover is observed between $K^{+}p$ and $K^{-}p$ scattering at $\mathrm{}\left|t\right|\mathrm{}\sim 0.19$ Ge${\mathrm{V}}^2$, and between $\mathrm{pp}$ and $\overline{p}p$ at $\mathrm{}\left|t\right|\mathrm{}\sim 0.11$ Ge

Keywords

• INLINE
• MSUP
• MROW
• GEV
• DIFFERENTIAL
• MI MATHVARIANT
• XMLNS

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