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Regge trajectories for potential scattering at negative angular momenta

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Il Nuovo Cimento (1955-1965)

Summary

The behavior of Regge trajectories is studied for certain classes of potentials. The asymptotic properties are found to depend on the behavior of the potential at the origin as expected. In particular weak potentials with attractive and repulsive cores are studied. In all cases there are indeterminacy points (crossings of αn(k) and αm(-k) at positive and negative energies and branch points (crossings of αn(k) and αm(-k). Some trajectories are seen to «lie down» at negative integer and half-integerl-values.

Riassunto

Si studia il comportamento delle traiettorie di Regge per certe classi di potenziali. Si trova che le proprietà asintotiche dipendono dal comportamento del potenziale all’origine, come previsto. Si studiano in particolare potenziali deboli con nuclei attrattivi e repulsivi. In tutti i casi ci sono punti di indeterminazione (incroci dia n(k) ea m(-k)) ad energie positive e negative e punti di diramazione (incroci dia n) ea m(k)). Si vede che alcune traiettorie si « deprimono » per valori interi e semi-interi negativi dil.

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References

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Authors and Affiliations

  1. Department of Physics, University of California, Riverside, Cal.

    P. Kaus

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  1. P. Kaus
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Kaus, P. Regge trajectories for potential scattering at negative angular momenta. Nuovo Cim 29, 598–610 (1963). https://doi.org/10.1007/BF02827784

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  • DOI: https://doi.org/10.1007/BF02827784

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