On the Improvement of the Froissart Bound
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概要
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Assuming the unitarity and analyticity in t of the scattering amplitude, we obtain the asymptotic upper bound on the behavior of total cross sections at high energies. In this upper bound all the terms tending to infinity for s→∞ are included. This and the polynomial boundedness of the scattering amplitude lead to the Froissart bound including the bound of the coefficient of the asymptotic expansion. It is shown that the Froissart bound including its coefficient cannot be improved. It is suggested that the first term of the asymptotic expansion dominates over other terms for the c.m. energies higher than 10^<38> GeV.
- 理論物理学刊行会の論文
- 1971-06-25