Summary
A complete set of independent gauge-invariant and Lorentz-covariant tensors which carry the maximal amount of kinematics and which are either even or odd under the discrete symmetries and crossing is given for virtual-photon scattering off polarized nucleons. The remaining kinematics is explicitly shown in the amplitudes. A great variety of different processes of physical interest may be described with this set by taking the adequate limits. The possible connections among these different limits are now open.
Riassunto
Si dà un insieme completo di tensori indipendenti, invarianti di gauge e covarianti secondo Lorentz, che portano il massimo ammontare di cinematica e che sono pari o dispari rispetto alle simmetrie discrete ed all’incrocio per lo scattering di fotoni virtuali da nucleoni polarizzati. Si mostra esplicitamente nelle ampiezze la cinematica restante. Una grande varietà di processi diversi d’interesse fiscio può essere descritta da questo insieme ponendo limiti adeguati. I possibili collegamenti fra questi diversi limiti sono ora aperti.
Реэюме
Для виртуального комптоновского рассеяния на поляриэованных нуклонах приводится полная система неэависимых калибровочно инвариантных и Лорентц-ковариантных тенэоров, которые максимально учитывают кинематику и являются либо четными, либо нечетными относительно дискретных симметрий и кроссинга. В явном виде отмечается оставщаяся кинематика в рассматриваемых амплитудах. Рассматривая соответствуюшие пределы, с помошью зтой системы тенэоров может быть описано больщое количество раэличных процессов, представ-ляюших фиэический интерес. Воэможные соотнощения между зтими раэличными пределами являются открытыми.
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This does not agree with the results of ref. (8). When one or two photons are real our counting of physical amplitudes agrees with his, although not our counting of general amplitudes, which is the one which should agree. The reason for this discrepancy lies in the procedure he follows for real photons, which has to cope with the fact that his tensors are not free from singularities ink 2 andk′2.
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Tarrach, R. Invariant amplitudes for virtual compton scattering off polarized nucleons free from kinematical singularities, zeros and constraints. Nuov Cim A 28, 409–422 (1975). https://doi.org/10.1007/BF02894857
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DOI: https://doi.org/10.1007/BF02894857