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Low-energy theorems on violations of the quark-line rule in scalar-isoscalar channels from low-Q 2 gluodynamics

Теоремы при низких энергиях для нарушений правила кварковых линий в скаляризоскалярных каналах из глюодинамики при малыхQ 2

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Il Nuovo Cimento A (1965-1970)

Summary

Low-energy theorems are derived for two cases of violations of the quark-line rule in scalar-isoscalar, meson-meson channels from the hypothesis of dominance of the so-called «longitudinal» instantons, advanced for the dynamics of gluons in such channels by the ITEP school. The results seem in reasonable agreement with phenomenological information, and solve a long-standing puzzle in the «accepted values» for the sigma terms in a «natural» way (i.e. without further, specific assumptions on hadronic wave functions).

Riassunto

In questo lavoro si ricavano teoremi di bassa energia per due esempi di violazioni della c.d. «regola di Zweig» in canali mesonici scalari ed isoscalari, nell'ipotesi di dominanza dei c.d. istantoni «longitudinali», avanzata dai teorici dell'ITEP di Mosca per la dinamica dei gluoni in tali canali. I risultati ottenuti paiono in ragionevole accordo con le informazioni fenomenologiche, e risolvono un problema di lunga data riguardo ai «valori standard» per i c.d. termini sigma in algebra delle correnti in un modo «naturale», cioè senza chiedere ulteriori ipotesi specifiche sulle funzioni d'onda adroniche.

Резюме

Выводятся теоремы при низких энергиях для двух случаев нарушений правила кварковых линий в скаляр-изоскалярных, мезон-мезоннных каналах из гипотезы доминантности так называемых «продольных» инстантонов, предложенных для динамики глюонов в таких каналах школой института теоретической и экспериментальной физики. Полученные результаты, по-видимому, хорошо согласуются с феноменологической информацией и решают проблему о «приемлемых значениях» для сигма-членов «естественным» образом (т.е. без специальных предположений об адронных волновых функциях).

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Authors and Affiliations

  1. Dipartimento di Fisica dell'Università, Perugia

    P. M. Gensini

  2. INFN, Sezione di Perugia, 06100, Perugia

    P. M. Gensini

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To speed up publication, the author of this paper has agreed to not receive the proofs for correction.

Research supported in part by a grant from Ministero della Pubblica Istruzione (fondi 60%).

Formerly at Dipartimento di Fisica, Università di Lecce, where this research was largely carried out.

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Gensini, P.M. Low-energy theorems on violations of the quark-line rule in scalar-isoscalar channels from low-Q 2 gluodynamics. Nuov Cim A 103, 33–46 (1990). https://doi.org/10.1007/BF02902618

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