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Derivation of sum rules for quark and baryon fields

Вывол правил сумм для кварковых и барионных полей

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Il Nuovo Cimento A (1965-1970)

Summary

In an analogous way to the Weinberg sum rules, two spectral-function sum rules for quark and baryon fields are derived by means of the concept of lightlike charges. The baryon sum rules are valid for the case ofSU 3 as well as forSU 4 and the one-particle approximation yields a linear mass relation. This relation is not in disagreement with the normal linear GMO formula for the baryons. The calculated masses of the first resonance states agree very well with the experimental data.

Riassunto

Si derivano in maniera analoga alle regole di somma di Weinberg due regole di somma delle funzioni spettrali per i campi di barioni e di quark, per mezzo del concetto delle cariche di tipo luce. Le regole di somma dei barioni sono valide per il caso diSU 3 così come perSU 4 e l'approssimazione ad una particella porta ad una relazione di massa lineare. Ciò non è in disaccordo con la normale formula lineare di GMO per i barioni. Le masse calcolate dei primi stati di risonanza sono in buon accordo con i dati sperimentali.

Резюме

По аналогии с правилами сумм Вейнберга, выбодятся правила сумм для двух спектральных функций для кварковых и барионных полей, испольэуя концепцию светоподобных зарядов. Барионные правила сумм справедливы для случаяSU 3 и дляSU 4. Одночастичное приближение дает линейное соотношение для масс. Зто соотношение не противоречит нормальной линейной GMO формуле для барионов. Вычисленные массы для первых резонансных состояний очень хорошо согласуются с экспериментальными данными.

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Authors and Affiliations

  1. Institut für Theoretische Kernphysik, Universität Karlsruhe, Karlsruhe, Germany

    K. Bongardt

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Bongardt, K. Derivation of sum rules for quark and baryon fields. Nuov Cim A 46, 642–652 (1978). https://doi.org/10.1007/BF02776978

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