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On the co-ordinate representation of separable potentials

О координатном представлении разделяемых потенциалов

  • Published:
Il Nuovo Cimento A (1965-1970)

Summary

The general properties of separable potentials are studied with particular reference to the co-ordinate representation. With some special choices of the form factors, a detailed analysis of the problem is possible, up to the determination of theS-matrix pole trajectories. This has been done in particular for a separable potential with square-well form factors, in cases ofS- andP-wave interaction.

Riassunto

Si analizzano le proprietà dei potenziali separabili con particolare riferimento alla rappresentazione «coordinate». Con certe scelte dei fattori di forma è possibile un'analisi generale delle traiettorie dei poli di matriceS, in funzione del parametro di «strength». Il lavoro si occupa in particolare del potenziale separabile con fattori do forma in buca quadra, in ondeS eP.

Резюме

Исследуются общие свойства разделяемых потенциалов, уделяя особое внимание координатному представлению. При спецнальном выборе форм-факторов позможен подробный анализ рассматриваемой проблемы, вплоть до определения полюсных траекторийS-матрицы. Рассмотрение проводится для разделяемото потенциала форм-факторами, отвечающим прямоугольной яме, в случаяхs- иp-волновото взаимодействия.

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Author notes

  1. S. S. Ahmad

    Present address: Department of Theoretical Physics, Research School of Physical Sciences, The Australian National University, Camberra

Authors and Affiliations

  1. Scuola di Perfezionamento in Fisica dell'Università, Padova

    S. S. Ahmad

  2. Istituto di fisica dell'Universià, Padora

    G. Pisent

  3. Istituto Nazionale di Fisica Nucleare, Sezione di Padova, Padova, Italia

    G. Pisent

Authors
  1. S. S. Ahmad
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  2. G. Pisent
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Additional information

Partially supported by Ministry of Foreign Affairs, Rome.

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Ahmad, S.S., Pisent, G. On the co-ordinate representation of separable potentials. Nuov Cim A 22, 79–98 (1974). https://doi.org/10.1007/BF02823052

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  • DOI: https://doi.org/10.1007/BF02823052

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