Zeitschrift für Physik C

ISSN: 0170-9739 (printed version)
ISSN: 1431-5858 (electronic version)

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Abstract Volume 74 Issue 3 (1997) pp 501-508

Small x behaviour of the chirally-odd parton distribution h₁(x,Q²)

R. Kirschner (1), L. Mankiewicz (2) (*), A. Schäfer (3), L. Szymanowski (3) (**)

(1) Institut für Theoretische Physik and Naturwissenschaftlich-Theoretisches Zentrum, Universität Leipzig, Augustusplatz, D-04109 Leipzig, Germany
(2) Institut für Theoretische Physik, Technische Universität München, D-85747 München, Germany
(3) Institut für Theoretische Physik, J.W. Goethe Universität Frankfurt, Postfach 11 19 32, D-60054 Frankfurt, Germany

Received: 24 June 1996

Abstract. The small x behaviour of the structure function h₁(x,Q²) is studied within the leading logarithmic approximation of perturbative QCD. There are two contributions relevant at small x. The leading one behaves like (1/x)⁰ i.e. it is just a constant in this limit. The second contribution, suppressed by one power of x, includes the terms summed by the GLAP equation. Thus for h₁(x, Q²) the GLAP asymptotics and Regge asymptotics are completely different, making h₁(x, Q²) quite an interesting quantity for the study of small x physics.

(*) On leave of absence from N. Copernicus Astronomical Center, Polish Academy of Sciences, Warsaw, Poland
(**) On leave of absence from Soltan Institute for Nuclear Studies, Warsaw, Poland

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