Summary
A systematic study of the consequences of Fubini-Dashen-Gell-Mann sum rules for allt-channel helicity amplitudes is given. The necessity of Kronecker deltas in all sense-sense amplitudes atJ=1 is pointed out. The coefficients of these Kronecker deltas are, apart from kinematical factors, the form factors of the target particles.
Riassunto
Si fa uno studio sistematico delle conseguenze delle regole di somma di Fubini-Dashen-Gell-Mann per tutte le ampiezze di elicità del canalet. Si mette in evidenza la necessità dei delta di Kronecker in tutte le ampiezze senso-senso perJ=1. I coefficienti di questi delta di Kronecker sono, a prescindere dai fattori cinematici, i fattori di forma delle particelle bersaglio.
Резюме
Приводится систематическое исследование следствий правил сумм Фубини-Дашена-Гелл-Манна для спиральных амплитуд вt-канале. Отмечается необходимость сингулярностй, типа δ-символа Кронекера, во всех физических амплитудах приJ=1. Коэффициенты этих δ-символов Кронекера являются, не говоря уже о кинематических факторах, форм-факторами частиц мишени.
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Literatur
S. Fubini:Nuovo Cimento,43, 475 (1966);R. Dashen andM. Gell-Mann:Phys. Rev. Lett.,17, 340 (1966).
J. B. Bronzan, I. S. Gerstein, B. W. Lee andF. E. Low:Phys. Rev. Lett.,18, 32 (1967);Phys. Rev.,157, 1448 (1967).
V. Singh:Phys. Rev. Lett.,18, 36 (1967).
H. G. Dosch andD. Gordon:Phys. Rev.,168, 1817 (1968).
M. Gell-Mann, M. L. Goldberger, F. E. Low, E. Marx andF. Zachariasen:Phys. Rev.,133, B 145 (1964).
S. Fubini:Cargèse Lectures in Theoretical Physics, ed. byM. Levy (1966); andIstanbul Summer School of Theoretical Physics, ed. byI. Gursey (1966).
Counterterms (c.t.) are introduced in order to compensate for the lack of covariance of the retarded commutator, seeL. Brown:Phys. Rev.,150, 1338 (1966).
L. Durand III,P. C. DeCelles andR. B. Mark:Phys. Rev.,126, 1882 (1962).
L. L. Wang:Phys. Rev.,142, 1187 (1966).
N. N. Khuri:Phys. Rev.,132, 914 (1963).
The importance of the Khuri representation for current algebra results has been stressed byS. Fubini:Nuovo Cimento,43, 475 (1966).
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This work was supported in part through funds provided by the Atomic Energy Commission under Contract No. At(30-1) 2098.
Traduzione a cura della Redazione.
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Dosch, H.G., Gordon, D. Current algebra and fixedJ-plane singularities. Nuovo Cimento A (1965-1970) 57, 82–92 (1968). https://doi.org/10.1007/BF02824438
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DOI: https://doi.org/10.1007/BF02824438