Evidence for the saturation of the Froissart bound

Details Evidence for the saturation of the Froissart bound Evidence for the saturation of the Froissart bound

2004-05-18

arxiv.org/abs/hep-ph/0405174v1

Phys.Rev. D70 (2004) 091901

Physics

High Energy Physics

High Energy Physics - Phenomenology

7 pages, Latex2e, 4 postscript figures, uses epsf.sty

Scientific paper

10.1103/PhysRevD.70.091901

It is well known that fits to high energy data cannot discriminate between asymptotic ln(s) and ln^2(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 gamma p total cross section, for sqrt(s) > 4 GeV. We subsequently require that the asymptotic fit smoothly join the sqrt(s) = 2.01 GeV cross section described by Dameshek and Gilman as a sum of Breit-Wigner resonances. The results strongly favor the high energy ln^2(s) fit of the form sigma_{gamma p} = c_0 + c_1 ln(nu/m) + c_2 ln^2(nu/m) + beta_{P'}/sqrt(nu/m), basically excluding a ln(s) fit of the form sigma_{\gamma p} = c_0 + c_1 ln(nu/m) + beta_P'/sqrt(\nu/m), where nu is the laboratory photon energy. This evidence for saturation of the Froissart bound for gamma p interactions is confirmed by applying the same analysis to pi p data using vector meson dominance.

Affiliated with

Also associated with

No associations

Rating

Evidence for the saturation of the Froissart bound does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Evidence for the saturation of the Froissart bound, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Evidence for the saturation of the Froissart bound will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-366347