Martin, André ; Roy, S. M. (2014) Froissart bound on total cross section without unknown constants Physical Review D - Particles, Fields, Gravitation and Cosmology, 89 (4). Article ID 045015, 7 pages. ISSN 1550-7998
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Official URL: http://journals.aps.org/prd/abstract/10.1103/PhysR...
Related URL: http://dx.doi.org/10.1103/PhysRevD.89.045015
Abstract
We determine the scale of the logarithm in the Froissart bound on total cross sections using absolute bounds on the D-wave below threshold for pion-pion scattering. For example, for π0π0 scattering, we show that for c.m. energy √s→∞σtot(s,∞) ≡ s∫s∞ ds'σtot (s')/s'2 ≤ π (mπ)-2 [ln(s/s0) +, where (1/2) ln ln(s/s0) + 1]2 1/s0 + 1]2 1/s0 = 17π√π/2 mπ-2
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to The American Physical Society. |
| ID Code: | 98094 |
| Deposited On: | 10 Mar 2014 12:43 |
| Last Modified: | 10 Mar 2014 13:09 |
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