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arXiv · hep-ph/0307077

Light cone nucleon wave function in the quark-soliton model

V. Yu. Petrov·M. V. Polyakov
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Abstract

The light-cone wave function of the nucleon is calculated in the limit N_c -> infinity in the quark-soliton model inspired by the theory of the instanton vacuum of QCD. The technique of the finite time evolution operator is used in order to derive expressions for all components of the Fock vector describing the nucleon in the infinite momentum frame. It is shown that nucleon wave function for large N_c can be expressed in terms of the wave function of the discrete level in the self-consistent meson field and light cone wave functions of 1,2, etc mesons. The 3-quark components of the nucleon and Delta-resonance are estimated. Wave function of the nucleon appears to be positive in the whole region of x and it has rather small asymmetry. It differs strongly both from Chernyak-Zhitnitsky wave function and the asymptotic one. Large momentum transfer asymptotic of the electromagnetic and axial form factors is discussed.

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V. Yu. Petrov, M. V. Polyakov. 2003-07-22. Light cone nucleon wave function in the quark-soliton model. https://arxiv.org/abs/hep-ph/0307077

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