The small $x$ behaviour of $g_1$

Abstract

We discuss the small $x$ behaviour of the spin dependent structure function $g_1$. We find a contribution from the exchange of two non-perturbative gluons which behaves as $\sim (2\ln \frac{1}{x}-1)$.

6 pages plus 2 figures, uuencoded ps file, Cavendish preprint HEP 94/4, DAMTP 94/50

References in corpus (6)

• Measurement of the Spin-Dependent Structure Function $g_1(x)$ of the Proton
• Proton structure function at small Q^2
• Shadowing in Deuterium
• Shadowing in deuterium and the small--$x$ limit of $F_2^n/F_2^p$ and $F_2^p-F_2^n$
• The Spin Structure of the Nucleon
• Gauge symmetry and the EMC spin effect

Cited by in corpus (27)

• The Spin Structure of the Nucleon
• Measurements of the Proton and Deuteron Spin Structure Functions g1 and g2
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• Polarized Parton Distributions in the Nucleon
• Spin Physics and Polarized Structure Functions
• The Spin Structure of the Proton
• Determination of ${\alpha }_s$ and the Nucleon Spin Decomposition Using Recent Polarized Structure Function Data
• Parameterisation of σ_{1/2}-σ_{3/2} for Q^2 \geq 0 and non-resonance contribution to the GDH sum rule
• Scale Dependence and Small-x Behaviour of Polarized Parton Distributions
• Spin-Dependent Twist-Four Matrix Elements from g_1 Data in the Resonance Region
• DEEP INELASTIC SCATTERING FROM POLARIZED DEUTERONS
• The Gerasimov-Drell-Hearn Sum Rule
• Small- and large-x nucleon spin structure from a global QCD analysis of polarized Parton Distribution Functions
• x-Dependent Polarized Parton Distributions
• The proton spin puzzle: where are we today ?
• Analytic Approaches to the Evolution of Polarised Parton Distributions at Small $x$
• Updating spin-dependent Regge intercepts
• Spin constraints on Regge predictions and perturbative evolution in high energy collisions
• Theoretical issues of small $x$ physics
• Spin dependent structure function g_1 at low x and low Q^2
• Sea polarisation and the Drell-Hearn-Gerasimov sum-rule(s)
• Towards an understanding of nucleon spin structure: from hard to soft scales
• Spin dependent structure function $g_1$ at small $x$ and small $Q^2$
• Different behaviour of the spin structure functions $g_1(x)$ and $h_1(x)$ at $x\to 0$
• Spin structure function g_1 at low x: status and plans
• On the extreme behaviour of $g_1(x,Q^2)$ at $x\to 0$