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On the spin dependence of the Λ-N interaction

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Il Nuovo Cimento (1955-1965)

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Summary

Rhe ratiow j between the lifetimes for the decays3HΛ → →3He+π− and3HΛ → D+p+π− has been calculated as a function of the spinj of the3HΛ (j=1/2 orj=3/2). The experimental valuew exp≲1 favoursj=1/2, showing that the Λ-N potential is more attractive in the singlet than in the triplet state. This result does not depend critically on the choice of the wave functions, becausew 3/2/w 1/2 is independent of it.

Riassunto

Si calcola in funzione dello spinj dell’3HΛ (j=1/2 oj=3/2) il rapportoω j fra le vite medie dei due decadimenti3HΛ →3He+π − e3HΛ → D+p+π −. Il miglior accordo col valore sperimentaleω exp≲1 si ha perj=1/2, e ciò mostra che il potenziale A-N è maggiormente attivo nello stato di singoletto che in quello di tripletto. Questo risultato non dipende criticamente dalla scelta delle funzioni, poichèω 3/2/ω 1/2 ne è indipendente.

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References

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  2. For references to some3HΛ decay-events see,e.g.,G. Franzinetti andG. Morpurgo:Suppl. Nuovo Cimeto,2, 785 (1957).

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Authors and Affiliations

  1. Istituto di Fisica dell’Università, Pisa

    L. E. Picasso & S. Rosati

  2. Istituto Nazionale di Fisica Nucleare, Sezione di Pisa, Italy

    L. E. Picasso & S. Rosati

Authors
  1. L. E. Picasso
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  2. S. Rosati
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Additional information

This work has been presented at the XLIV Congress of the Italian Physical Society, 6–11 November 1958.

When this work was completed, we have received a preprint of a paper byM. Leon, who calculates the fraction of decays in two bodies of the3HΛ and compares it with the experimental value; his conclusions are in agreement with the results we have here obtained.

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Picasso, L.E., Rosati, S. On the spin dependence of the Λ-N interaction. Nuovo Cim 11, 711–717 (1959). https://doi.org/10.1007/BF02732329

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  • DOI: https://doi.org/10.1007/BF02732329

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