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A unified equation for the non-singlet spin dependent structure function $g_1^{ns}(x,Q^2)$ which incorporates the complete leading order Altarelli-Parisi evolution at finite $x$ and double logarithmic $ ln^2(1/x)$ effects at $x \to 0$ is…

High Energy Physics - Phenomenology · Physics 2014-11-17 B. Badełek , J. Kwieciński

Quark mass corrections to the spin partonic structure function g_1(x,Q^2) and function F_3(x,Q^2) are obtained at the order O(alpha_s) along with the coefficient functions C^{(A)} and C^{(V)} related to the Bjorken and…

High Energy Physics - Phenomenology · Physics 2008-02-03 O. V. Teryaev , O. L. Veretin

We report on new results of the spin dependent structure functions $g_1$ and $h_1$ of the nucleon. An attempt is made to convert the moments, which is what one computes on the lattice, to quark distribution functions.

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Göckeler , R. Horsley , H. Perlt , P. Rakow , G. Schierholz , A. Schiller , P. Stephenson

We examine the behaviour of the polarised structure function data for g_1(x) in the region of small x (~0.01 to 0.1) for the various available targets (proton, neutron and deuteron) with the aim of clarifying what may be safely deduced with…

High Energy Physics - Phenomenology · Physics 2007-05-23 Mehrdad Goshtasbpour , Philip G. Ratcliffe

We have utilized the concept of valon model to calculate the spin structure functions of proton, neutron and deuteron. The valon structure itself is universal and arises from the perturbative dressing of the valence quark in QCD. Our…

High Energy Physics - Phenomenology · Physics 2014-11-18 Firooz Arash , Fatemeh Taghavi-Shahri

We test stability against probabilistic evolution of sum rules for transverse-momentum-dependent distribution and fragmentation functions. We find that preservation of the Burkardt sum rule for Sivers distribution functions is similar to…

High Energy Physics - Phenomenology · Physics 2014-10-21 Philip G. Ratcliffe , Oleg V. Teryaev

We derive a new twist-3 partonic sum rule for the transverse spin of the proton, which involves the well-know quark spin structure function $g_T(x)=g_1(x)+g_2(x)$, the less-studied but known transverse gluon polarization density $\Delta…

High Energy Physics - Phenomenology · Physics 2021-06-30 Yuxun Guo , Xiangdong Ji , Kyle Shiells

The power correction, surviving the zero quark mass limit and found earlier to restore the validity of Burkhardt-Cottingham sum rule, provides the contribution to the Bjorken sum rule as well. The leading perturbative correction to the…

High Energy Physics - Phenomenology · Physics 2007-05-23 O. V. Teryaev

Results are reported from the HERMES experiment at HERA on a measurement of the neutron spin structure function $g_1^n(x,Q^2)$ in deep inelastic scattering using 27.5 GeV longitudinally polarized positrons incident on a polarized $^3$He…

High Energy Physics - Experiment · Physics 2008-11-26 The HERMES Collaboration , K. Ackerstaff

We perform a next-to-leading-order QCD analysis to world data on polarized structure functions $g_1$ and $g_2$ in a fixed-flavor number scheme. We include target mass corrections and higher twist effects in our fitting procedure and study…

High Energy Physics - Phenomenology · Physics 2014-05-22 Sara Taheri Monfared , Zahra Haddadi , Ali N. Khorramian

We present a new extraction of the effective strong coupling constant \alpha_{s,g_1}(Q^2). The result agrees with a previous determination and extends the measurement of the low and high Q^2 behavior of \alpha_{s,g_1}(Q^2) that was…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Deur , V. Burkert , J. P. Chen , W. Korsch

The explicit expressions describing the structure function g_1 at arbitrary x and Q^2 are obtained. In the first place, they combine the well-known DGLAP expressions for g_1 with the total resummation of leading logarithms of x, which makes…

High Energy Physics - Phenomenology · Physics 2007-11-30 B. I. Ermolaev , M. Greco , S. I. Troyan

The spin-polarized homogeneous electron gas with densities $\rho_\uparrow$ and $\rho_\downarrow$ for electrons with spin `up' ($\uparrow$) and spin `down' ($\downarrow$), respectively, is systematically analyzed with respect to its…

Strongly Correlated Electrons · Physics 2009-11-10 P. Ziesche , F. Tasnadi

We investigate polarized deuteron structure functions at small values of the Bjorken variable, x < 0.1. In this region contributions from the coherent interaction of diffractively excited hadronic states with both nucleons become important.…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. Edelmann , G. Piller , W. Weise

Sums of matrix elements of spin-dependent two-body momentum-independent interactions and sums of their products are calculated analytically in the basis of many-body states with given total spin --- the states built from spin and spatial…

Quantum Gases · Physics 2015-09-23 Vladimir A. Yurovsky

We consider geometrical properties of the polarized and unpolarized structure functions and provide definition for the $b$--dependent structure functions. It is shown that unitarity does not allow factorized form of the structure functions…

High Energy Physics - Phenomenology · Physics 2007-05-23 Sergey Troshin , Nikolai Tyurin

We consider impact parameter dependence of the polarized and unpolarized parton densities. Unitarity does not allow factorization of these structure functions over the Bjorken x and the impact parameter b variables. On the basis of the…

High Energy Physics - Phenomenology · Physics 2009-10-31 S. M. Troshin , N. E. Tyurin

So far the analyses of the polarized structure functions of the proton and neutron have been limited to the evaluation of their integrals and comparing them to the prediction of the static quark model of the nucleon. We extended our…

High Energy Physics - Phenomenology · Physics 2018-10-30 B. Povh , M. Rosina

Sum rules for the spin dependent structure functions corresponding to the moment at $n=0$ derived from the current algebra based on the canonical quantization on the null-plane are reviewed.

High Energy Physics - Phenomenology · Physics 2007-07-27 Susumu Koretune

We have measured proton and deuteron virtual photon-nucleon asymmetries A2p and A2d and structure functions g2p and g2d over the range 0.03<x<0.8 and 1.3<Q2<10 (GeV/c)2 by inelastically scattering polarized electrons off polarized ammonia…

High Energy Physics - Experiment · Physics 2008-11-26 The E143 Collaboration , K. Abe et al