Vertex function and composite particle
Article
First Online:
Received:
Revised:
- 25 Downloads
- 3 Citations
Summary
We show that for a suitable definition of the vertex function of a composite particle in the sense ofZ3=0 we have the LSZ theorem. We also study the asymptotic behaviour of the form factor in this case.
Вершинная функция и составная частица
Резюме
Мы показываем, что для соответствующего определения вершинной функции составной частицы, в смыслеZ3=0, мы имеем LSZ-теорему. Мы также изучаем поведение форм-фактора в этом случае.
Riassunto
Si dimostra che con una opportuna definizione della funzione di vertice di una particella composta nel senso diZ3=0, si ha il teorema di LSZ. Si studia anche l'andamento asintotico del fattore di forma in questo caso.
Preview
Unable to display preview. Download preview PDF.
References
- (1).B. Jouvet: Report to theInternational Congress on Fundamental Constants, Turin (September, 1956);Nuovo Cimento,5, 1 (1957).Google Scholar
- (2).For a justification see ref. (1,3,4)B. Jouvet: Report to theInternational Congress on Fundamental Constants, Turin (September, 1956);Nuovo Cimento,5, 1 (1957).J. C. Houard:Nuovo Cimento,35, 194 (1965).C. R. Hagen:Ann. of Phys.,31, 185 (1965).Google Scholar
- (3).J. C. Houard:Nuovo Cimento,35, 194 (1965).MathSciNetCrossRefGoogle Scholar
- (4).C. R. Hagen:Ann. of Phys.,31, 185 (1965).ADSMathSciNetCrossRefGoogle Scholar
- (5).See ref. (3). In general we may expect the existence of this term if we accept that δ\(v\frac{2}{l}\) is finite. Following ref. (1) we have thatg 0, the Fermi coupling constant of the equivalent theory, is given byg 0=(Z 1/Z 2)2(G R2/δ\(v\frac{2}{l}\)), and this gives 1/δ\(v\frac{2}{l}\) for the first term in (5).MathSciNetCrossRefGoogle Scholar
- (6).L. Lehmann, K. Symanzik andW. Zimmermann:Nuovo Cimento,2, 425 (1955).MathSciNetCrossRefGoogle Scholar
- (7).G. Barton:Introduction to Advanced Field Theory, Chapter 10 (New York).Google Scholar
- (8).This means that when we calculate 〈0|j(x)|(p,r)(p′,r′)in〉 contracting the two fermions the operator gives effectively(x) when acting onS′ F(l)(x) and when we take into account the corresponding integration. This is the property used in eqs. (10.10) and (10.11) of ref. (7)G. Barton:Introduction to Advanced Field Theory, Chapter 10 (New York).Google Scholar
- (9).
Copyright information
© Società Italiana di Fisica 1967