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On a relativistic quasi-potential equation in the case of particles with spin

О релятивистском квазипотенциальном уравнении в случае частиц со спином.

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Il Nuovo Cimento A (1965-1970)

Summary

Quasi-potential equations are constructed for the relativistic scattering amplitude and the wave function of two interacting particles with spin 1/2. This is done with the help of specific covariant extrapolation of the scattering amplitude off the energy-momentum shell. Suitable diagram techniques are developed. The quasi-potential is defined as a sum of «irreducible» diagrams. The free part of the wave equation is spin independent and all features connected with spin appear in the interaction (quasi-potential). The spin structure of the quasipotential is investigated.

Riassunto

Si costruiscono le equazioni del quasi potenziale per l'ampiezza di scattering relativistica e le funzioni d'onda di due particelle interagenti di spin 1/2. Si fa ciò con l'aiuto di una specifica estrapolazione covariante dell'ampiezza di scattering fuori dello strato dell'energia-impulso. Si sviluppano adatte tecniche di diagrammi. Si definisce il quasi potenziale come una somma di diagrammi «irriducibili». La parte libera dell'equazione d'onda è indipendente dallo spin e tutte le caratteristiche connesse con lo spin compaiono nell'interazione (quasi potenziale). Si studia la struttura di spin del quasi potenziale.

Резюме

Конструируются квазипотенциальные уравнения для ралятивистской амплитуды рассеяния и волновой функции двух взаимодействующих частиц со спином 1/2. Это производится с помощью специальной ковариантной экстраполяции амплитуды рассеяния вне энергетически-импульсной поверхности. Развивается удовная диаграммная техника. Квазипотенциал определяется как сумма «неприводимых» диаграмм. Свободная часть волновой функции не зависит от спина, и все особенности, связанные со спином, возникают от взаимодействия (квазипотенциала). Исследуется спиновая структура потенциала.

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Author notes

  1. V. G. Kadyshevsky

    Present address: Joint Institute for Nuclear Research, Dubna

  2. M. D. Mateev

    Present address: University of Sofia, Sofia

Authors and Affiliations

  1. International Atomic Energy Agency, International Centre for Theoretical Physics, Trieste

    V. G. Kadyshevsky & M. D. Mateev

Authors
  1. V. G. Kadyshevsky
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  2. M. D. Mateev
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Kadyshevsky, V.G., Mateev, M.D. On a relativistic quasi-potential equation in the case of particles with spin. Nuovo Cimento A (1965-1970) 55, 275–300 (1968). https://doi.org/10.1007/BF02759227

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