
Record 
Links 

Author 
Greynat, D.; de Rafael, E.; Vulvert, G. 


Title 
Asymptotic behaviour of pionpion total crosssections 
Type 
Journal Article 

Year 
2014 
Publication 
Journal of High Energy Physics 
Abbreviated Journal 
J. High Energy Phys. 


Volume 
03 
Issue 
3 
Pages 
107  21pp 


Keywords 
QCD Phenomenology; Phenomenological Models 


Abstract 
We derive a sum rule which shows that the FroissartMartin bound for the asymptotic behaviour of the pi pi total cross sections at high energies, if modulated by the LukaszukMartin coefficient of the leading log(2)s behaviour, cannot be an optimal bound in QCD. We next compute the total cross sections for pi(+)pi(), pi(+/)pi(0) and pi(0)pi(0) scattering within the framework of the constituent chiral quark model (C chi QM) in the limit of a large number of colours Nc and discuss their asymptotic behaviours. The same pi pi cross sections are also discussed within the general framework of LargeNc QCD and we show that it is possible to make an Ansatz for the isospin I = 1 and I = 0 spectrum which satisfy the FroissartMartin bound with coefficients which, contrary to the LukaszukMartin coefficient, are not singular in the chiral limit and have the correct LargeNc counting. We finally propose a simple phenomenological model which matches the low energy behaviours of the sigma(total)(pi +/pi 0)(s) cross section predicted by the CxQM with the high energy behaviour predicted by the LargeNc Ansatz. The magnitude of these cross sections at very high energies is of the order of those observed for the pp and pp scattering total cross sections. 


Address 
[Greynat, David] Univ Naples Federico II, Dipartimento Sci Fis, I80126 Naples, Italy, Email: david.greynat@gmail.com; 


Corporate Author 

Thesis 



Publisher 
Springer 
Place of Publication 

Editor 



Language 
English 
Summary Language 

Original Title 



Series Editor 

Series Title 

Abbreviated Series Title 



Series Volume 

Series Issue 

Edition 



ISSN 
10298479 
ISBN 

Medium 



Area 

Expedition 

Conference 



Notes 
WOS:000333803000003 
Approved 
no 


Is ISI 
yes 
International Collaboration 
yes 


Call Number 
IFIC @ pastor @ 
Serial 
1747 

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