Derivative dispersion relations above the physical threshold

Details Derivative dispersion relations above the physical threshold Derivative dispersion relations above the physical threshold

2005-12-13

arxiv.org/abs/hep-ph/0512166v3

Braz.J.Phys.37:358-367,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

Final version, published in Brazilian Journal of Physics, V. 37, 358 (2007)

Scientific paper

10.1590/S0103-97332007000300006

We discuss some formal and practical aspects related to the replacement of Integral Dispersion Relations (IDR) by derivative forms, without high-energy approximations. We first demonstrate that, for a class of functions with physical interest as forward scattering amplitudes, this replacement can be analytically performed, leading to novel Extended Derivative Dispersion Relations (EDDR), which, in principle, are valid for any energy above the physical threshold. We then verify the equivalence between the IDR and EDDR by means of a popular parametrization for total cross sections from proton-proton and antiproton-proton scattering and compare the results with those obtained through other representations for the derivative relations. Critical aspects on the limitations of the whole analysis, from both formal and practical points of view, are also discussed in some detail.

Affiliated with

Also associated with

No associations

Rating

Derivative dispersion relations above the physical threshold 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 Derivative dispersion relations above the physical threshold, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Derivative dispersion relations above the physical threshold will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-36383