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Calculation of regge poles by continued fractions - I

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Il Nuovo Cimento (1955-1965)

Summary

We obtain continued fractions for all the Regge poles of a wide class of potentials. They can be used to calculate the trajectories on an electronic computer. We show graphs of the first Regge trajectory for 20 Yukawa potentials. Our method also gives a new way of calculating binding energies, which are obtained correct to 6 figures in many cases.

Riassunto

Si ottengono frazioni continue per tutti i poli di Regge di una vasta categoria di potenziali. Possono essere usate per calcolare le traiettorie con una calculatrice elettronica. Si danno i grafici della prima traiettoria di Regge per 20 potenziali di Yukawa. Questo metodo fornisce un nuovo modo per calcolare le energie di legame, che risultano in molti casi esatte alla sesta cifra.

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Authors and Affiliations

  1. Physics Department Imperial College, London

    C. Lovelace (DSIR Research Fellow) & D. Masson

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  1. C. Lovelace
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  2. D. Masson
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Supported by the National Research Council of Canada.

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Lovelace, C., Masson, D. Calculation of regge poles by continued fractions - I. Nuovo Cim 26, 472–484 (1962). https://doi.org/10.1007/BF02771819

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  • DOI: https://doi.org/10.1007/BF02771819

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