On the scaling properties of the total cross section
We perform a detailed analysis on the scaling properties of the total <img src="../../../../../img/revistas/rmf/v52n5/a9s1.jpg">cross section, <img src="../../../../../img/revistas/rmf/v52n5/a9s2.jpg">. We write the cross section as a product of two functions W and V representing, respectively, the dynamical degrees of freedom and the contribution from the valence partons. Analyzing data from HERA and fixed target experiments, we find that V is independent of Q² and concentrated at large x, while W carries all the information on the Q² evolution of <img src="../../../../../img/revistas/rmf/v52n5/a9s1.jpg">. We define the reduced cross section <img src="../../../../../img/revistas/rmf/v52n5/a9s3.jpg">, and show that it is very close to a generalized homogeneous function. This property gives rise to geometric scaling for <img src="../../../../../img/revistas/rmf/v52n5/a9s4.jpg">and it also explains the known geometric scaling of <img src="../../../../../img/revistas/rmf/v52n5/a9s2.jpg">at low x. As a consequence of our Ansatz, we also obtain a compact parameterization of <img src="../../../../../img/revistas/rmf/v52n5/a9s2.jpg">describing all data above Q² = 1 GeV².
| Main Authors: | , |
|---|---|
| Format: | Digital revista |
| Language: | English |
| Published: |
Sociedad Mexicana de Física
2006
|
| Online Access: | http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S0035-001X2006000500009 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|