Summary
It is proved that an analyticity domain of the scattering amplitudeA(l, s), which can be obtained by the use of the Mandelstam representation, is the domain of holomorphy, under certain conditions, of an analytic function of the complex angular momentum and of the complex energy variables. The boundary of the analyticity domain is characterized by a sub-harmonic function of s.
Riassunto
Si dimostra che un dominio di analiticità dell‘ampiezza di scatteringA(l, s), che puÒ essere ottenuto con l‘uso della rappresentazione di Mandelstam, in certe condizioni è il dominio di olomorfismo di una funzione analitica dell‘impulso angolare complesso e della variabile complessa dell‘energias. Il limite del dominio di analiticità è caratterizzato da una funzione subarmonica dis.
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This paper is in part supported by the United States Atomic Energy Commission.
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Okubo, S. Complex angular momentum and domain of holomorphy. Nuovo Cim 28, 47–55 (1963). https://doi.org/10.1007/BF02806047
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DOI: https://doi.org/10.1007/BF02806047