Summary
The differential rates for certain two-particle decays of polarized baryons and bosons of arbitrary spins have been calculated in terms of the phenomenological coupling constants. The decay into a nucleon and a pseudoscalar meson has been treated for the general parity-violating case. The baryon decay into a spin-3/2 particle and a pseudoscalar meson or a vector boson, and the boson decay into a vector boson and a pseudoscalar meson have been calculated in the parity-conserving case. The Wigner-Bargmann equation has been used to describe particles of higher spins and certain results connected with them, such as particle, antiparticle and spin projection operators and the density matrix have also been derived.
Riassunto
Si sono calcolati i rapporti differenziali di alcuni decadimenti a due corpi di barioni polarizzati e bosoni di spin arbitrario in funzione delle costanti di accoppiamento fenomenologiche. Si è trattato il decadimento in un nucleone ed un mesone pseudoscalare per il caso generale di violazione della parità. Il decadimento del barione in una particella di spin 3/2 e in un mesone pseudoscalare o un bosone vettoriale, e il decadimento del bosone in un bosone vettoriale e un mesone pseutoscalare sono stati calcolati nel caso della conservazione della parità. Si è usata l'equazione di Wigner-Bargmann per descrivere le particelle di spin superiore e sono stati anche dedotti certi risultati ad esse connessi, come gli operatori della particella, dell'antiparticella e della proiezione dello spin e la matrice della densità.
Резюме
В терминах феноменологических констант связи были были вычислены дифференциальные скорости для некоторых двух-частичных распадов поляризованных барионов и бозонов с произвольными спинами. Распад на нуклон и псевдоскалярный мезон был исследоан для общего случая с нарушением четности. Барионный распад на частицу со спином 3/2 и псевдоскалярныи месон или векторный бозон, и бозонный распад на векторный бозон и псевдоскалярный мезон были вычислены в случае сохранения четности. Уравнение Вигнера-Баргмана было использовано для описания частиц с высшими спинами, и также были получены некоторые результаты, связанные с этим уравнением, такие как проекционные операторы для частицы, античастицы и спина, и матрица плотности.
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Arif-Uz-Zaman Decays of polarized particles of arbitrary spin. Nuovo Cimento A (1965-1970) 56, 493–523 (1968). https://doi.org/10.1007/BF02753106
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DOI: https://doi.org/10.1007/BF02753106