منابع مشابه
Froissart Bound from Gluon Saturation
We demonstrate that the dipole-hadron cross-section computed from the non-linear evolution equation for the Colour Glass Condensate saturates the Froissart bound in the case of a fixed coupling and for a small dipole (Q ≫ Λ2QCD). That is, the cross-section increases as the logarithm squared of the energy, with a proportionality coefficient involving the pion mass and the BFKL intercept (αsNc/π)...
متن کاملTowards the saturation of the Froissart bound
It is the aim of this paper to summarize results about the construction of amplitudes, which rigorously satisfy Mandelstam analyticity, crossing symmetry, and (at least partly) the constraints imposed by elastic and inelastic unitarity. The results are discussed under particular emphasis of a strong increase of the absorptive part of the forward amplitude and the saturation of the Froissart bound.
متن کاملNew evidence for the saturation of the Froissart bound
Fits to high energy data alone cannot cleanly discriminate between asymptotic ln s and ln s behavior of total hadronic cross sections. We demonstrate that this is no longer true when we require that these amplitudes also describe, on average, low energy data dominated by resonances. We simultaneously fit real analytic amplitudes to high energy measurements of: 1) the πp and πp total cross secti...
متن کاملEvidence for the saturation of the Froissart bound
It is well known that fits to high energy data cannot discriminate between asymptotic ln s and ln s behavior of total cross section. We show that this is no longer the case when we impose the condition that the amplitudes also describe, on average, low energy data dominated by resonances. We demonstrate this by fitting real analytic amplitudes to high energy measurements of the γp total cross s...
متن کاملFroissart bound for inelastic cross sections
André Martin CERN, Theory Division, CH1211 Geneve 23, Switzerland (Received 19 May 2009; published 15 September 2009) We prove that while the total cross section is bounded by ð =m Þln2s, where s is the square of the c.m. energy and m the mass of the pion, the total inelastic cross section is bounded by ð1=4Þð =m Þln2s, which is 4 times smaller. We discuss the implications of this result on the...
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ژورنال
عنوان ژورنال: Nuclear Physics A
سال: 2002
ISSN: 0375-9474
DOI: 10.1016/s0375-9474(02)01163-6