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Il Nuovo Cimento A (1965-1970)

, Volume 57, Issue 3, pp 271–293 | Cite as

A geometrical approach to the hadrons and the baryonium

  • E. Elbaz
  • J. Meyer
Article

Summary

The quark is defined as a flavour vector state in the colour space and the antiquqrk as a vector in the dual space. The observables appear to be scalar in the colour space built even with a vector and a covector (meson) or with a vector and a pseudovector (baryon). The pseudovector seems to be related to the Pauli-principle existence and allows a comprehension of the distinction between baryons and mesons. The investigation of the strong interaction as exchange of gluons between quarks leads to two fundamental processes: the fusion-fission of mesons and the triple rearrangement of three mesons into a baryon-antibaryon pair. The JOZI rule which forbids the break of a junction is thus recovered. The possible existence of different multiquark states is then considered from the topological point of view.

Геометрический подход для адронов и бариония

Резюме

Кварк определяется как векторное состояние, обладающее ароматом, в цветном пространстве, а антикварк как вектор в дуальном пространстве. Оказывается. наблюдаемые величины представляют скаляр в цветном пространстве, построенном с вектором и ковектором (мезон) или с вектором и псевдовектором (барион). Псевдовектор, по-видимому, связан с существованием принциоа Паули и позволяет, вообще говоря, различить барионы и мезоны. Исследование сильного вааимодеиствия, как обмена глуонами между кварками, приводит к двум фундаментальным процессам: синтез-деление мезонов и тройная перегруппировка трех мезонов в барион-антибарионную пару. Заново устанавливается правило JOZI, котрое запрещает разрыв соединения. Затем с топологической точки зрения рассматривается возможное существование различных многокварковых состояний.

Riassunto

Il quark è definito come uno stato vettoriale di sapore nello spazio di colore e l'antiquark come un vettore nello spazio duale. Le osservabili appaiono essere scalari nello spazio di colore costruito anche con un vettore e un covettore (mesone) o con un vettore e uno pseudovettore (barione). Lo pseudovettore sembra essere in relazione con l'esistanza del principio di Pauli e permette la comprensione della distinzione tra barioni e mesoni. L'indagine sull'interzione forte, come lo scambio di gluoni tra quark, porta a due processi fondamentali: la fusione-fissione dei mesoni e la tripla sistemazione di tre mesoni entro una coppia barione-antibarione. Si riporta così in uso la regola di JOZI che impedisce la rottura di una giunzion. Si riconsidera poi la possibile esistenza di stati di multiquark diversi, dal punto di vista topologico.

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Copyright information

© Società Italiana di Fisica 1980

Authors and Affiliations

  • E. Elbaz
    • 1
  • J. Meyer
    • 1
  1. 1.Institut de Physique Nucléarie (and IN2P3)Université Claude Bernard Lyon-IVilleurbanne CedexFrance

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