Summary
The K+−K0 mass difference is examined, using Weinberg’s first sum rule and soft-pion technique but the second sum rule is violated in which case the mass difference becomes logarithmically divergent. It is suggested that depending on the value of the coupling constants that appear in the spectral functions the correct sign of the K+−K0 mass difference can be obtained without the σ-terms.
Riassunto
Si studia la differenza di massa K+−K0 per mezzo della prima regola di somma di Weinberg e la regola dei pioni molli; però la seconda regola di somma è violata, nel qual caso la differenza di massa diviene logaritmicamente divergente. Si suggerisce che, in dipendenza dal valore delle costanti di accoppiamento che compaiono nelle funzioni spettrali, si può ottenere il giusto segno della differenza di massa K+−K0, senza ricorrere ai termini σ.
Резюме
Исследуется разность масс K−−K0, используя первое правило сумм Вейнберга и технику мягких пионов, но второе правило сумм нарушается, в том случае, когда разность масс логарифмически расходится. Предполагается, что правильный знак разности масс K−−K0, который зависит от величины констант связи, которые появляются в спектральных функциях, может быть получен без членов σ.
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References
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This work has been supported in part by the U.S. Atomic Energy Commission.
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Tanaka, K. Electromagnetic mass difference of kaons. Nuovo Cimento A (1965-1970) 56, 764–770 (1968). https://doi.org/10.1007/BF02819833
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DOI: https://doi.org/10.1007/BF02819833