FIZIKA B 17 (2008) 1, 143 - 150

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QCD CONTRIBUTIONS TO THE FROISSART BOUND FOR THE TOTAL CROSS-SECTION

A. ACHILLIa, A. GRAUb, G. PANCHERIc and Y.N. SRIVASTAVAa

 aINFN and Physics Department University of Perugia, I-06123 Perugia, Italy       
E-mail-addresses: achilli@fisica.unipg.it ,     Yogendra.Srivastava@pg.infn.it 
bDepartamento de Fisica Teórica y del Cosmos, Universidad de Granada,
18071 Granada, Spain        E-mail-address: igrau@ugr.es 
cINFN Frascati National Laboratories, I-00044 Frascati, Italy
E-mail-address: pancheri@lnf.infn.it

Received 20 November 2007;   Accepted 20 February 2008
Online 11 July 2008

We discuss the effect of infrared soft gluons on the asymptotic behaviour of the total cross-section. We use a singular but integrable expression for the strong coupling constant in the infrared limit and relate its behaviour to the satisfying of the condition of the Froissart bound, giving a specific phenomenological example.

PACS numbers: 11.55.Hx, 13.60.Hb, 25.20.Lj
UDC 539.125

Keywords: proton, Froissart bound, total cross-section

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