Summary
Starting fromSU 3⊗SU 3 light-cone commutators a sum rule is derived for Kl3 decay. The dispersive path in the plane of the independent scalar variables is a straight line depending, essentially, onm π m K. TheSU 3 andSU 2⊗SU 2 symmetry limits, corresponding to the fixed-mass configuration, are discussed.
Riassunto
A partire da commutatori sul cono di luce dell’algebraSU 3⊗SU 3 si deriva una regola di somma per il decadimento Kl3. Il cammino dispersivo nel piano delle variabili scalari indipendenti è una retta che dipende, essenzialmente, dam π,m K. Si discutono i limiti di simmetriaSU 3 eSU 2⊗SU 2, che corrispondono alla configurazione di masse fisse.
Реэюме
Исходя иэSU 3 ⊗SU 3 коммутаторов на световом конусе, выводится правило сумм дляK l3 распада. Дисперсионный путь в плоскости неэависимых скалярных переменных представляет прямую линию, эависяшую, главным обраэом, отm π,m K. Обсуждаются пределы симметрииSU 3 иSU 2 ⊗SU 2, соответствуюшие конфигурации фиксированных масс.
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References
H. Fritzsch andM. Gell-Mann: Talk presented at theCoral Gables Conference on Fundamental Interactions at High Energy (Miami, Fla., 1971).
M. Cornwall andR. Jackiw:Phys. Rev. D,4, 367 (1971).
D. A. Dicus, R. Jackiw andV. L. Teplitz:Phys. Rev. D,4, 1733 (1971);R. Jackiw:Dilatation symmetry and light-cone commutators, DESY Summer Institute (July, 1971).
G. Calucci, R. Jengo, G. Furlan andC. Rebbi:Phys. Lett.,37 B, 416 (1971);G. Furlan, R. Jengo andC. Rebbi:Generalized sum rules from null plane commutators, University of Trieste (1971).
For a review see:G. Furlan, N. Paver andC. Verzegnassi:Low-energy theorems and photo- and electroproduction by current algebra, DESY Summer Institute (July 1971).
M. Ademollo, G. Denardo andG. Furlan:Nuovo Cimento,57 A, 1 (1968);G. Denardo:Lett. Nuovo Cimento,3, 319 (1970.
We recall that in the conventional approach, based on equal-time commutators, there are in general two intersections (see ref. (5)).
L. F. Li andH. Pagels:Phys. Rev. Lett.,26, 1204 (1971).
R. A. Brandt andG. Preparata:Phys. Rev. Lett.,26, 1605 (1971).
M. Gell-Mann, R. J. Oakes andB. Renner:Phys. Rev.,175, 2195 (1968).
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Supported in part by Istituto Nazionale di Fisica Nucleare, Sezione di Trieste.
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Furlan, G., Paver, N. Light-cone commutators, pion amplitudes and Kl3 decay. Nuov Cim A 11, 543–556 (1972). https://doi.org/10.1007/BF02729462
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DOI: https://doi.org/10.1007/BF02729462