Summary
The assumption of π, η and σ dominance of the weak and electromagnetic decays of the K-meson is examined using the hard-meson current algebra amplitudes for the strong-interaction factors. The K → 3π decay spectrum, the K 0 L → 2γ decay and the K 0 L -K 0 S mass difference are calculated and compared with experiment.
Riassunto
Si esamina l’ipotesi della predominanza di π, η e σ nei decadimenti deboli ed elettromagnetici del mesone K facendo uso delle ampiezze dell’algebra delle correnti del mesone duro per i fattori dell’interazione forte. Si calcolano lo spettro del decadimento K → 3π, il decadimento K 0 L → 2γ e la differenza di massa K 0 L -K 0 S e li si confrontano con i dati sperimentali.
Реэюме
Испольэуя амплитуды алгебры токов жестких меэонов для факторов сильных вэаимодействий, исследуется предположение π, η и σ доминантности в слабых и злектромагнитных распадах К меэона. Вычисляются и сравниваются с зкспериментом спектр распада К → 3π, распад К 0 L → 2γ и раэность масс К 0 L -К{S/0}.
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Literatur
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The spectra for K0→3π0 are approximately flat. The K−→2π−π+ decay spectrum is shown in ref. (10).
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Recently,R. Rockmore:Phys. Rev. D,2, 2693 (1970) has calculatedΔ s and obtained a result that is about twice as large as the text value. This is due mainly to the fact that a different model of ππ interactions has been used. In Rockmore’s model, it is not possible to fit a down-up or up-up phase-shift solution (as required by the present π+π− scattering data) but only an up-down solution.
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Research supported in part by the National Science Foundation.
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Arnowitt, R., Friedman, M.H., Nath, P. et al. Spin-zero pole dominance in the weak and electromagnetic interactions of the K-meson. Nuov Cim A 4, 765–772 (1971). https://doi.org/10.1007/BF02731518
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DOI: https://doi.org/10.1007/BF02731518