Summary
In the framework of dual-resonance models we derive the necessary conditions that the physical states on the mass shell have to satisfy. The orthogonality with the spurious states is required. By using these conditions we show that the first «daughter» is empty, while the second daughter contains at least three particles for each level (N>4). The first three excited levels are analysed in some detail.
Riassunto
Nel contesto dei modelli di risonanza duale si derivano le condizioni necessarie a cui devono soddisfare gli stati fisici sul guscio di massa. Si richiede l’ortogonalità con gli stati spuri. Usando queste condizioni si dimostra che la prima «figlia» è vuota, mentre la seconda contiene almeno tre particelle per ogni livello (N>4). Si analizzano in dettaglio i primi tre livelli eccitati.
Резюме
В рамках моделей дуальных резонансов мы выводим необходимые условия, чтобы существовали физические состояния на массовой поверхности. Требуется ортогональность ложным состояниям. Используя эти условия, мы показываем, что первая «дочерняя» является вакантной, тогда как вторая «дочерняя» содержит, по крайней мере, три частицы для каждого уровня (N>4). Подробно анализируются первые три возбужденны х уровня.
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References
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Our metric tensor isg μν=(1, 1, 1,−1).
We remark that the condition (2.4) is the «Lorentz condition» that must be satisfied by the photon physical states in the covariant formulation of quantum electrodynamics.
No additional spurious states ‖λ, π can be obtained from the equation [L 0+1−L +1 ]‖λ, π>=0.
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This work is supported in part through funds provided by the Atomic Energy Commission under Contract At (30-1) 2098.
Traduzione a cura della Redazione.
Перевебено ребакуией.
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Del giudice, E., Di Vecchia, P. Characterization of the physical states in dual-resonance models. Nuovo Cimento A (1965-1970) 70, 579–591 (1970). https://doi.org/10.1007/BF02734495
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DOI: https://doi.org/10.1007/BF02734495