Summary
Lower and upper bounds on forward slopes of overlap functions are obtained with the help of unitarity conditions, the polynomial boundedness and analyticity of elastic amplitudes. The results are compared with values of slopes obtained in Regge-pole models.
Riassunto
Con l’aiuto delle condizioni di unitarietà, della delimitazione polinomiale e dell’analiticità delle ampiezze elastiche si ottengono limiti superiori ed inferiori alle pendenze in avanti delle funzioni di sovrapposizione. Si confrontano i risultati con i valori delle pendenze ottenuti con i modelli dei poli di Regge.
Реэюме
С помошью условий унитарности, полиномиальной ограниченности и аналитичности упругих амплитуд получаются нижние и верхние границы для передних наклонов функций перектрытия. Полученные реэультаты сравниваются с величинами наклонов, полученных в моделях полюсов Редже.
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References
L. Van Hove:Nuovo Cimento,28, 798 (1963).
L. Van Hove:Rev. Mod. Phys.,36, 655 (1964).
Z. Koba andM. Namiki:Nucl. Phys.,8 B, 413 (1968).
Z. Ajduk: Warsaw University preprint IFT/72/4 (1972).
R. J. Eden:Rev. Mod. Phys.,43, 15 (1971).
M. B. Einhorn andR. Blankenbecler:Ann. of Phys.,67, 480 (1971).
S. W. MacDowell andA. Martin:Phys. Rev.,135, B 960 (1964).
V. Barger andR. J. N. Phillips:Phys. Rev.,187, 2210 (1969).
G. V. Dass, C. Michael andR. J. N. Phillips:Nucl. Phys.,9 B, 549 (1969); erratum,14 B, 474 (1969).
W. Rarita, R. J. Riddell, C. B. Chiu andR. J. N. Phillips:Phys. Rev.,165, 1615 (1968).
G. V. Dass andC. D. Froggatt:Nucl. Phys.,8 B, 661 (1968).
M. Krammer andU. Maor:Nucl. Phys.,13 B, 477 (1969).
Z. Ajduk: Warsaw University preprint IFT/72/17 (1972).
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Ajduk, Z. Bounds, resulting from unitarity and analyticity on forward slopes of overlap functions. Nuov Cim A 15, 390–400 (1973). https://doi.org/10.1007/BF02734679
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DOI: https://doi.org/10.1007/BF02734679