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A speculative description of the two-nucleon interaction

Теоретическое описание двух-нуклонных взаимодействий

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Il Nuovo Cimento A (1965-1970)

Summary

The nucleon-nucleon potential is deduced in the framework of the nonrelativistic meson exchange theory starting from a well-defined nucleon model. The nucleon model is built up as the synthesis of a Pais-Uhlenbeck scheme (restricted to a homogeneous sixth-order Klein-Gordon equation) and a nonlinear equation governing the radial dependence of the pion field. The model predicts the existence of a mass sequence of heavy bosons which characterize the density function and consequently the spatially extended nature of the nucleon. It has been proved that the special form of the nonlinearity gives rise to solitonic effects and that the source is confined within a sort of Yukawian soliton whose r.m.s. radius is about 3/2 the Compton wavelength of the nucleon. This property establishes an upper limit for the r.m.s. radius of the source. The role of a set of four pseudoscalar mesons and that of a scalar one are discussed. The preliminary results of the implications concerning the nucleon-nucleon potential are promising in view of future, more detailed, investigations.

Riassunto

Il potenziale nucleone-nucleone viene dedotto nell’ambito della teoria non relativistica di scambio di mesoni a partire da un ben definito modello del nucleone. Il modello nucleonico è costruito come sintesi di uno schema alla Pais-Uhlenbeck (ristretto ad un’equazione di tipo Klein-Gordon omogenea del sest’ordine) e di un’equazione non lineare governante la dipendenza radiale del campo pionico. Il modello predice l’esistenza di uno spettro di massa per i bosoni pesanti che caratterizzano la funzione densità e, quindi, la struttura spaziale estesa del nucleone. Si dimostra che la speciale forma della nonlinearità dà origine ad effetti solitonici e che la sorgente viene confinata all’interno di un solitone di tipo yukawiano, il cui raggio quadratico medio risulta circa 3/2 della lunghezza d’onda Compton del nucleone. Questa proprietà fissa un limite superiore per il raggio quadratico medio della sorgente. Viene discusso il ruolo di un insieme di quattro mesoni pseudoscalari e di uno scalare. I risultati preliminari delle implicazioni del potenziale nucleone-nucleone sono promettenti anche in vista di analisi future piú dettagliate.

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Authors and Affiliations

  1. Dipartimento di Fisica «Galileo Galilei», Università di Padova, Padova

    T. A. Minelli, A. Pascolini & C. Villi

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

    T. A. Minelli, A. Pascolini & C. Villi

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  1. T. A. Minelli
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  2. A. Pascolini
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  3. C. Villi
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Minelli, T.A., Pascolini, A. & Villi, C. A speculative description of the two-nucleon interaction. Nuov Cim A 102, 1593–1670 (1989). https://doi.org/10.1007/BF02825158

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