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- W85895244 abstract "We show how to construct amplitudes for $ensuremath{pi}$ production, $ensuremath{pi}Nensuremath{rightarrow}ensuremath{pi}ensuremath{pi}N$, which are suitable for energies not far above threshold and which are simple enough to be useful phenomenologically. The ${mathrm{textonehalf{}}}^{+}$ amplitudes are treated and the construction of their energy dependence is based on the unitarity relations for the coupled channels $ensuremath{pi}N$ and $ensuremath{pi}ensuremath{pi}N$. An ansatz is made about the $ensuremath{pi}ensuremath{pi}$-mass dependence to permit a parametrization which employs the parameters of the $s$-wave $ensuremath{pi}ensuremath{pi}$ system. The well-known features of the ${mathrm{textonehalf{}}}^{+}$ $ensuremath{pi}N$ elastic amplitudes are cited to fix the values of several of the constants appearing in the construction. Formulas are obtained for the various ${ensuremath{pi}}^{ifmmodepmelsetextpmfi{}}p$ production cross sections. Some early production-cross-section data are used to show how the $s$-wave $ensuremath{pi}ensuremath{pi}$ parameters may be extracted. The formulas are offered for phenomenological application of this sort when more production data in the near-threshold region become available." @default.
- W85895244 created "2016-06-24" @default.
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- W85895244 date "1977-02-01" @default.
- W85895244 modified "2023-09-26" @default.
- W85895244 title "πproduction near threshold ands-waveππparameters" @default.
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- W85895244 doi "https://doi.org/10.1103/physrevd.15.776" @default.
- W85895244 hasPublicationYear "1977" @default.
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