Summary
An expansion of the Regge trajectories for large energy is derived for singular and nonsingular potentials. The Pade approximant is introduced in order to sum these asymptotic expansions. Further calculations for a Yukawa potential are reported with emphasis on the analytic properties of the trajectories. All the trajectories investigated have singularities not present in theS-matrix itself. We conclude that one can analytically continue from one trajectory to another.
Riassunto
Si deduce uno sviluppo delle traiettorie di Regge ad alta energia per potenziali singolari e non singolari. Si introduce l’approssimante di Pade allo scopo di sommare questi sviluppi asintotici. Si riportano ulteriori calcoli per un potenziale di Yukawa mettendo in rilievo le proprietà analitiche delle traiettorie. Tutte le traiettorie studiate hanno singolarità che non sono presenti nella matriceS stessa. Si conclude che si può passare analiticamente in modo continuo da una traiettoria all’altra.
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Based partly on a Ph. D. thesis submitted to the University of London.
The computing was done through the co-operation of NIRNS and at the kind invitation of Dr.R. S. Moorhouse.
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Masson, D. Calculation of Regge poles by continued fractions — II. Nuovo Cim 35, 125–149 (1965). https://doi.org/10.1007/BF02734830
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DOI: https://doi.org/10.1007/BF02734830