By Alessandra Fantoni, Simonetta Liuti, Oscar A Rondon
Whereas perturbative QCD tools totally describe experimental effects at excessive energies, and chiral perturbation thought is the low power potent conception of the powerful interactions, a kind of duality is saw connecting those regimes. In those intermediate kinematics, a large choice of reactions are saw which are defined at the same time via unmarried particle (quark) scattering, and by means of unique resonance (hadron) scattering.The contributions during this court cases quantity talk about contemporary and current effects, and objective to foster present and destiny examine, investigating the phenomenon of quark-hadron duality.This targeted quantity includes study paintings via scientists from diversified arenas of hadronic physics, facing diversified manifestations of quark-hadron duality.
Read or Download Quark-hadron Duality And the Transition to Pqcd: Proceedings of the First Workshop, Frascati, Italy, 6-8 June 2005 PDF
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Additional info for Quark-hadron Duality And the Transition to Pqcd: Proceedings of the First Workshop, Frascati, Italy, 6-8 June 2005
Example text
Comparing the band with the world data suggests that the higher twists contributions are small. (3) 22 A linear fit to the world data shows a small slope indicating that /ij (Q 2 ) is negligible. 6 GeV 2 . The coefficient of the l/<2 2 term contains atwist-2 contribution, a^, and a twist-3 term, d"> m addition to the genuine twist-4 component, fg 19,20,21 ^ MJ = ^M2(a? + 4 ^ + 4 / 2 " ) . (4) Interaction terms appear through the twist-3 and twist-4 contributions. The coefficient d™is given by the twist-3 part of the x 2 -weighted moment of a particular combination of the measured gi and g2 structure functions, and at large Q2, corresponds to a matrix element of an operator which involves both quark and gluon fields 2 2 .
However, an effective strong coupling constants 51 52 was defined by Grunberg 4 in which higher twists and higher order QCD radiative corrections are incorporated. Eq. 1 becomes by definition: rr^^ti-^]. 0 (2) TV This definition yields many advantages: the coupling constant is extractable at any Q2, is well-behaved when Q2 —» AQCD, is not renormalization scheme (RS) dependent and is analytic when crossing quark thresholds. The price to pay for such benefits is that it becomes process-dependent (hence the subscript
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