Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2005-05-02
JETP Lett. 82 (2005) 53; Pisma Zh.Eksp.Teor.Fiz. 82 (2005) 57
Physics
High Energy Physics
High Energy Physics - Phenomenology
Scientific paper
10.1134/1.2056627
It is proposed the modification of the Jacobi polynomial expansion method (MJEM) which is based on the application of the truncated moments instead of the full ones. This allows to reconstruct with a high precision the local quark helicity distributions even for the narrow accessible for measurement Bjorken $x$ region using as an input only four first moments extracted from the data in NLO QCD. It is also proposed the variational (extrapolation) procedure allowing to reconstruct the distributions outside the accessible Bjorken $x$ region using the distributions obtained with MJEM in the accessible region. The numerical calculations encourage one that the proposed variational (extrapolation) procedure could be applied to estimate the full first (especially important) quark moments.
Ivanov O. N.
Shevchenko Yu. O.
Sissakian Alexei N.
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