Summary
Finite one-loop graphs which arise in a recently proposed renormalizable scalar-boson theory of the weak interaction are shown to lead to a mechanism for octet enhancement of ΔY = 1 hadronic processes.
Riassunto
Si mostra che i grafici finiti a una sola ansa che derivano da una teoria dell’interazione debole rinormalizzabile a bosoni scalari, recentemente avanzata, conducono a un meccanismo per l’incremento degli ottetti dei processi adronici con ΔY = 1.
Реэюме
Покаэывается, что конечные диаграммы с одной петлей, которые воэникают в недавно предложенной перенормируемой скалярной боэонной теории слабых вэаимодействий, приводят к механиэму усиления октета для адронных процессов с ΔY = 1.
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References
E. Fermi:Nuovo Cimento,11, 1 (1934); alsoZeits. Phys.,88, 161 (1934).
R. P. Feynman andM. Gell-Mann:Phys. Rev.,109, 193 (1958);E. C. G. Sudarshan andR. E. Marshak:Phys. Rev.,109, 1860 (1958).
N. Cabibbo:Phys. Rev. Lett.,10, 531 (1963).
O. E. Overseth:Phys. Lett.,39 B, 144 (1972).
R. P. Feynman: inProceedings of the International School of Subnuclear Physics «Ettore Majorana», edited byA. Zichichi (1965), p. 160.
M. Breitenecher, H. Morawitz andH. Pietschmann:Zeits. Phys.,204, 345 (1967).
A. Salam:Phys. Lett.,8, 216 (1964).
See, for example,C. G. Callan andS. B. Treiman:Phys. Rev. Lett.,16, 153 (1966). Notice that in the soft-pion limit for the process H → H′π one is also takingM H =M H′. We shall comply in what follows by doing all calculations in theSU 3 limit.
We normalize baryon states according to 〈B j (p′s′)|B> i (ps)〉 = (E/M)δijδss′δ3(p′ −p).
Although they use the language of divergent intermediate-vector-boson theory and current algebra,V. S. Mathur andP. Olesen:Phys. Rev. Lett.,20, 1527 (1968) conjecture essentially this same mechanism for octet dominance. By placing this hypothesis in the framework of a renormalizable weak-interaction theory with quarks, as we do here, their conjecture takes on substance and simplicity. In fact, at least at the computational level, the resulting picture of octet dominance in ΔY = 1 hadronic weak processes bears a close relation to the tadpole model. Unlike the tadpole model, however, here the dominant weak interaction and the dominant medium strong symmetry-breaking interaction do not belong to the same octet so that the effect cannot be rotated away, even should the only source of chiral symmetry breaking be of the form of quark mass terms.
R. E. Pugh:Phys. Rev. D,5, 474 (1972).
R. L. Penner:Phys. Rev. D,6, 2059 (1972).
M. Fierz:Zeits. Phys.,104, 553 (1937);Y. Tanikawa:Phys. Rev.,108, 1615 (1957).
Theϕ’s are anticommuting quantum fields;ϕ c a denotes the field of the particlea c charge conjugate toa.
There are many possible interpretations of thep′ quark which are equally suitable for the discussion which follows. See, for example,S. L. Glashow, J. Illiopoulos andL. Maiani:Phys. Rev. D,2, 1285 (1970);B. J. Bjorken andS. L. Glashow:Phys. Lett.,11, 255 (1964);D. Amati, H. Bacry, J. Nuyts andJ. Prentki:Phys. Lett.,11, 190 (1964); also,Nuovo Cimento,34, 1732 (1964).
See, for example,S. A. Bludman: inCargèse Lectures in Physics, Vol.1 (London, 1967), p. 203.
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Supported in part by the National Research Council of Canada.
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Isgur, N. Octet enhancement in a renormalizable weak-interaction model. Nuov Cim A 20, 585–594 (1974). https://doi.org/10.1007/BF02727454
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DOI: https://doi.org/10.1007/BF02727454