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Meson-nucleus scattering lengths and sigma-terms

Длины мезон-ядерного рассеяния и ε-члены.—I: π- системасистема

I: The π--nucleus system(*)

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Il Nuovo Cimento A (1965-1970)

Summary

A «universal» linear formula for π--nucleus scattering lengths is derivedà la Fubini and Furlan from current algebra and PCAC. From its fit to data from pionic-atom, 2p−1s X-ray energy shifts we obtain the estimate (56.9±6.0) MeV on the πN sigma-term and we check the smallness of the nonstrange, average «current» quark mass.

Riassunto

Si deriva una espressione lineare «universale» per le lunghezze di diffusione π- dall'algebra delle correnti e dalla PCAC con il metodo di Fubini e Furlan. Analizzando dati derivati dalle energie delle transizioni X 2p−1s negli atomi pionici, si ottiene una stima di (56.9±6.0) MeV per il termine sigma pione-nucleone, e si verifica l'esiguità della massa di «corrente» media dei quark non strani.

Резюме

Выводится «универсаляная» линейная формула для длин мезонядерного рассеяния а ля фибини-фурлана из алгебры токов и PCAC. Из подгонки данных для 2p−1s рентгеновских энергетических сдвигов в пионном атоме мы получаем оценку (56.9±6.0) МэВ для πN ε-члена. Мы проверяем малость массы нестранных, «токовых» кварков.

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  1. Istituto di Fisica dell' Università, 73100, Lecce

    P. M. Gensini

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Supported by Istituto Nazionale di Fisica Nucleare.

Address after November 1st, 1980: Physics Department, Stanford University, Stanford, Cal. 94305.

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Gensini, P.M. Meson-nucleus scattering lengths and sigma-terms. Nuov Cim A 60, 221–233 (1980). https://doi.org/10.1007/BF02902459

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