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Bochum 1998 – scientific programme

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HK: Hadronen und Kerne

HK 67: Structure of Baryons, Mesons IX, Theory

HK 67.1: Group Report

Thursday, March 19, 1998, 14:00–14:30, H

Nucleon Structure Functions in a Chiral Soliton Model — •H. Weigel1, L. Gamberg2, and H. Reinhardt11Institut f"ur Theoretische Physik, Universit"at T"ubingen, D-72076 T"ubingen — 2Department of Physics and Astronomy, University of Oklahoma, 440 West Brooks, Norman, OK 73019, USA

We study nucleon structure functions within the bosonized version of the Nambu–Jona–Lasinio (NJL) model. In this model the nucleon is described as a chiral soliton [1]. We start by presenting the calculation of the unpolarized structure functions for the νp and νp scattering in the valence quark approximation. For moderate constituent quark masses (∼ 400MeV) this approximation is well justified because the contribution of this distinct level dominates the nucleon properties. By including cranking corrections to the chiral soliton this approximation is formulated to be consistent with the Adler sum rule. We continue by discussing the results for the Gottfried sum rule for electron nucleon scattering [2]. The comparison with a low–scale parametrization shows that the model reproduces the gross features of the empirical structure functions. In addition the issues of projection [3] and q2–evolution are addressed thereby determining the intrinsic scale µ2 associated with the NJL chiral soliton. We also compute the leading twist contributions of the polarized structure functions g1 and g2 in this model [4]. We compare the model predictions for these structure functions with data from SLAC by evolving them from the scale µ2 to the scale where the data are taken. We furthermore analyse the chiral–odd structure functions h1 and hL in an analogous manner. In the light of various sum rules for the structure functions we finally comment on the problem of consistently regularizing the contribution due to the quark vacuum which is polarized by the background field of the chiral soliton.

[1] R. Alkofer, H. Reinhardt, H. Weigel, Phys. Rep. 265 (1996) 139.

[2] H. Weigel, L. Gamberg, H. Reinhardt, Mod. Phys. Lett. A11, 3021 (1996); Phys. Lett. B399 (1997) 287.

[3] L. Gamberg, H. Reinhardt, H. Weigel, hep–ph/9707352.

[4] H. Weigel, L. Gamberg, H. Reinhardt, Phys. Rev. D55 (1997) 6910.

Supported in part by the Deutsche Forschungsgemeinschaft (DFG) under contract
Re 856/2–3.

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