Summary
Some features of the ππ scattering at complex energies are investigated by applying a new method of analytic extrapolation. We used as input only experimental data, with no specific asymptotic assumptions, the stability of the extrapolation being achieved by the positivity of the imaginary parts of the considered amplitudes. Our results are consistent with the recently formulated hypothesis about a precocious Regge behaviour setting for the ππ scattering at complex energies.
Riassunto
Si esaminano, mediante un nuovo metodo di estrapolazione analitica, alcuni aspetti dell’urto pione-pione a energie complesse. Come entrata si utilizzano soltanto dati sperimentali, senza specifiche ipotesi asintotiche; la stabilità dell’estrapolazione è assicurata grazie alla positività della parte immaginaria delle ampiezze considerate. I nostri risultati sono consistenti con l’ipotesi, formulata recentemente, che un andamento asintotico alla Regge si stabilisca precocemente nell’urto pione-pione, a energie complesse.
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Caprini, I., Sararu, A., Sararu, M. et al. Elastic ππ scattering at complex energies: A stable unbiased analytic extrapolation. Nuov Cim A 47, 405–420 (1978). https://doi.org/10.1007/BF02896232
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DOI: https://doi.org/10.1007/BF02896232