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Off-shell behaviour of the nucleon-nucleon interaction

Вне-оболочечное поведение нуклон-нуклонного вэаимодействия

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Il Nuovo Cimento A (1965-1970)

Summary

We investigate the off-shell behaviour of the nucleon-nucleon interaction by means of Noyes-Kowalski half-off-shell functions and bound-state (deuteron) as well as nucleon-nucleon scattering wave functions. The models for the nucleon-nucleon interaction, we consider, are the meson-theoretical Paris potential together with separable representations of its on-shell and off-shell behaviour (PEST potentials). We contrast them to the Afnan-Clement-Serduke potential, as an example of purely phenomenological separable potentials. Important implications for few-body problems like electron-deuteron and nucleon-deuteron elastic scattering are discussed.

Riassunto

Si studia il comportamento fuori dallo strato dell’interazione nucleone-nucleone mediante le funzioni di Noyes-Kowalski per metà fuori dallo strato e dello stato legato (deuterone) così come le funzioni di scattering d’onda nucleone-nucleone. I modelli per l’interazione nucleone-nucleone, che si considerano, sono il potenziale di Paris della teoria mesonica insieme a rappresentazioni separabili del suo comportamento dentro e fuori dallo strato (potenziali PEST). Si contrappongono questi al potenziale Afnan-Clement-Serduke, come esempio di potenziali separabili puramente fenomenologici. Si discutono implicazioni importanti per problemi a pochi corpi come scattering elastico elettrone-deuterone e nucleone-deuterone.

Реэюме

Мы исследуем вне-оболочечное поведение нуклон-нуклонного вэаимо-действия с помошью функций и свяэанного состояния (дейтона) Нойса-Ковальского, а также волновых функции нуклон-нуклонного рассеяния. Модели для нуклон-нуклонного вэаимодействия представляют меэонный теоретический потенциал вместе с раэделяемыми представлениями для оболоченого и вне-оболочецного поведения. Мы противопоставляем зти модели потенциалу Афнана-Клемента-Серд юка, как пример, чисто феноменологических раэделяемых потенциалов. Обсуждаются важные приложения для проблем нескольких тел, такие как злектрон-дейтронное и иуклон-дейтронное упругое рассеяние.

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Authors and Affiliations

  1. Division de Physique Théorique, I.P.N., 91406, Orsay, France

    B. Loiseau

  2. LPTPE, Université P. et M. Curie, 75252, Paris, France

    B. Loiseau

  3. Institut für Theoretische Physik, Karl-Franzens-Universität, Graz

    L. Mathelitsch & W. Plessas

Authors
  1. B. Loiseau
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  2. L. Mathelitsch
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  3. W. Plessas
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The division de Physique Théorique de l’I.P.N. is a Laboratoire Associé au Centre National de la Recherche Scientifique.

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Loiseau, B., Mathelitsch, L. & Plessas, W. Off-shell behaviour of the nucleon-nucleon interaction. Nuov Cim A 97, 77–102 (1987). https://doi.org/10.1007/BF02733840

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