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- W2000852114 abstract "Continuing our program on the study of positive $K$ mesons, we have investigated the interactions of $K$ mesons with hydrogen and complex nuclei in photographic emulsions primarily in the energy interval 100 to 220 Mev. We are reporting on interactions found in 320 meters of ${K}^{+}$ track length followed, of which 227 meters were in the energy interval 100 to 220 Mev. The exposure was made to an enriched $K$-meson beam at the Berkeley Bevatron. The ratio of $K$ mesons to minimum ionizing background particles ranged from 1:1 to 1:3 across our stack. Thirteen new $K$-hydrogen scattering events were found and added to those previously published. We find the $K$-H cross section to be energy-independent in the energy interval from 20 to 200 Mev. The average cross section over this energy interval is 14.5ifmmodepmelsetextpmfi{}2.2 mb. The differential cross section appears to be due predominantly to $S$-wave scattering.The data obtained on inelastic collisions with complex nuclei have been analyzed by using an independent-particle model for the nucleus. Using this model and correcting for (a) nucleon shading, (b) Coulomb repulsion, (c) Pauli exclusion principle, and (d) repulsive potentials, we obtained the average $K$-nucleon cross section as a function of energy. This cross section appears energy-independent in the energy interval 60 to 180 Mev. The values for the elementary cross sections obtained in this analysis for ${T}_{K}=60 mathrm{to} 180$ Mev with $V={V}_{N}+{V}_{C}=35$ Mev were $overline{ensuremath{sigma}}(mathrm{the}mathrm{average} Kensuremath{-}mathrm{n}mathrm{u}mathrm{c}mathrm{l}mathrm{e}mathrm{o}mathrm{n}phantom{rule{0ex}{0ex}}mathrm{c}mathrm{r}mathrm{o}mathrm{s}mathrm{s}phantom{rule{0ex}{0ex}}mathrm{s}mathrm{e}mathrm{c}mathrm{t}mathrm{i}mathrm{o}mathrm{n})=11.8ifmmodepmelsetextpmfi{}1.3$ mb, ${ensuremath{sigma}}_{mathrm{KN}}=9.8ifmmodepmelsetextpmfi{}3.0$ mb (with ${ensuremath{sigma}}_{mathrm{Kn}}={{ensuremath{sigma}}_{n}}^{+}+{{ensuremath{sigma}}_{n}}^{0}$ where ${{ensuremath{sigma}}_{n}}^{+}$ is direct neutron scattering and ${{ensuremath{sigma}}_{n}}^{0}$ is charge-exchange scattering), ${{ensuremath{sigma}}_{n}}^{+}=5.8ifmmodepmelsetextpmfi{}3.1$ mb, and ${{ensuremath{sigma}}_{n}}^{0}=4.0ifmmodepmelsetextpmfi{}0.8$ mb. In this case the ratio ${ensuremath{sigma}}_{mathrm{Kp}}:{{ensuremath{sigma}}_{n}}^{+}:{{ensuremath{sigma}}_{n}}^{0}ensuremath{approx}3.6:1.5:1$. We observe a backward peaking in the differential cross section and believe that this is due to a small $P$-wave contribution.These results lead us to believe that the $K$-nucleon scattering is a short-range force interaction and does not proceed through single $ensuremath{pi}$-meson exchange. The latter would require high-angular-momenta contributions and would presumably result in a strongly energy-dependent cross section.A repulsive potential was necessary to explain the behavior of the fractional energy loss as a function of energy. The magnitude of the potential necessary for a best fit $Vensuremath{approx}30$ Mev agrees very well with the results of a partial wave analysis of the elastic-scattering data." @default.
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- W2000852114 date "1958-03-15" @default.
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- W2000852114 title "Study of the Interaction of PositiveKMesons" @default.
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- W2000852114 doi "https://doi.org/10.1103/physrev.109.2121" @default.
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