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Partial-Wave Analysis of K − p → Ξ − K + at 2 GeV c

1967/06/25 by Thomas G. Trippe, T. G. Trippe, Peter E. Schlein +1 · 2 citations
Physics and Astronomy · #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #High-Energy Particle Collisions Research

paper · doi:10.1103/physrev.158.1334

Abstract

We have performed a partial-wave analysis on K^\ensuremath-p\ensuremath→\ensuremathΞ^\ensuremath-K+ at 2 (GeV)/(c). The Legendre-polynomial expansions of \fracd\ensuremathσd\ensuremathΩ (coefficients Al) and of \fracPd\ensuremathσd\ensuremathΩ (coefficients Bl) have significant contributions for A1, A2, A3, B1, B3, and one isolated higher-order moment, A6 (a 3.5\ensuremathσ effect). Using the measured values of Al and Bl (l=1,2,3), the partial-wave equations have been solved (using a search technique) for the amplitudes S(1)/(2)(=P(1)/(2)*), P(1)/(2)(=S(1)/(2)*), P(3)/(2)(=D(3)/(2))*, and D(3)/(2)(=P(3)/(2)*), where the bracketed partial waves indicate the Minami-transform-complex-conjugation ambiguity, unavoidable in an analysis at a single energy. The isolated A6 term may be understood as due to a small J\ensuremath≥(9)/(2) amplitude interfering with one of the J=(3)/(2) amplitudes. The measured cross sections for \ensuremathΞ^\ensuremath-K+, \ensuremathΞ0K0, and \ensuremathΞ^\ensuremath-K0 production are consistent with baryon-exchange dominance with a (T=(0)/(T)=1) isotopic-spin ratio of (7.0\ifmmode±\else\textpm\fi2.3) for the exchanged baryon.

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