2 00 9 Comment on André Martin : ” Can one improve the Froissart Bound ? ” Andrei

نویسنده

  • Andrei A. Arkhipov
چکیده

In this note my personal point of view on the question brought up for a discussion at the Conference ”Diffraction 2008” by André Martin has been presented.

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M ar 2 00 9 Comment on André Martin : ” Can one improve the Froissart Bound ? ”

In this note my personal point of view on the question brought up for a discussion at the Conference ”Diffraction 2008” by André Martin has been presented.

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ar X iv : 0 81 2 . 06 80 v 2 [ he p - ph ] 7 F eb 2 00 9 Can one improve the Froissart bound ?

We explain why we hope that the Froissart bound can be improved, either qualitatively or, more likely, quantitatively, by making a better use of unitarity, in particular elastic unitarity. In other instances (Gribov’s theorem) elastic unitarity played a crucial role. A preliminary requirement for this is to work with an appropriate average of the cross-section, to make the problem well defined....

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We explain why we hope that the Froissart bound can be improved, either qualitatively or, more likely, quantitatively, by making a better use of unitarity, in particular elastic unitarity. In other instances (Gribov’s theorem) elastic unitarity played a crucial role. A preliminary requirement for this is to work with an appropriate average of the cross-section, to make the problem well defined....

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ar X iv : 0 81 2 . 06 80 v 3 [ he p - ph ] 2 0 Fe b 20 09 Can one improve the Froissart bound ?

We explain why we hope that the Froissart bound can be improved, either qualitatively or, more likely, quantitatively, by making a better use of unitarity, in particular elastic unitarity. In other instances (Gribov’s theorem) elastic unitarity played a crucial role. A preliminary requirement for this is to work with an appropriate average of the cross-section, to make the problem well defined....

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The Froissart bound for inelastic cross-sections

We prove that while the total cross-section is bounded by (π/mπ) ln 2 s, where s is the square of the c.m. energy and mπ the mass of the pion, the total inelastic cross-section is bounded by (1/4)(π/mπ) ln 2 s, which is 4 times smaller. We discuss the implications of this result on the total cross-section itself. The Froissart bound [1], proved later from local massive field theory and unitarit...

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تاریخ انتشار 2009