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Nonlinear chiral lagrangians and the ΔI=1/2 rule

--Нелнейные киральные лагранжианы и правило ΔI=1/2

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Il Nuovo Cimento A (1965-1970)

Summary

A nonlinear chiral Lagrangian with symmetry breaking describing vector, pseudovector and pseudoscalar mesons is constructed. The weak currents deduced via field-current identities are used to compute to zeroth order in (m 2π /m 2ρ ) the K → 2π decays. The ΔI=1/2 rule is found to hold and an estimate for the mass of the intermediate vector boson is given.

Riassunto

Si costruisce una lagrangiana chirale non lineare con violazione di simmetria che descrive mesoni vettoriali, pseudovettoriali e pseudoscalari. Le correnti deboli introdotte tramite le identità correnti-campi sono usate per calcolare all’ordine zero inm 2π /m 2ρ i decadimenti K→2π. Si trova che la regola di selezione ΔI=1/2 è soddisfatta e si dà una stima della massa del bosone vettoriale intermedio.

Реэюме

Конструируется нелинейный киральный лагранжиан с нарущением симметрии, который описывает векторные, псевдовекторные и псевдоскалярные меэоны. Слабые токи, выведенные череэ полевые токовые тождества, испольэуются для вычисления К → 2π распадов в нулевом порядке поm 2π /m 2ρ . Получается, что правило ΔI=1/2 выполняется. Приводится оценка для массы промежуточного векторного боэона.

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References

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Riela, G. Nonlinear chiral lagrangians and the ΔI=1/2 rule. Nuov Cim A 12, 737–755 (1972). https://doi.org/10.1007/BF02736619

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