Deep Inelastic e-p Scattering and Single Particle Distributions Initiated by the Virtual Photon in the Lattice Dual Resonance Model : Hamiltonian Formalism

概要

論文の詳細を見る
In the lattice dual resonance model, the Ward-Takahashi-like identity for the photon vertex is derived. The validity of the statistical approximation in deep inelastic e-p scattering is shown. Employing the above-mentioned gauge invariant formulation and the statistical approximation, we can analyse the single particle distribution initiated by (the real- and) virtual photon in the process γ(A)+B→X(C)+anything. In this lattice dual resonance model, explicit forms for the single particle distribution functions are obtained. The three kinds of structure functions exhibit both Feynman and Bjorken scaling properties in the limiting fragmentation region, the universal shrinking cutoff in the transverse momentum of the form exp (-4α´(p_T^2)(1+q_A^2/xs)|_x→0) in the central region and the vanishing triple-Regge behaviour in the kinematical boundary region, respectively. Here x is the Feynman parameter. This shrinking transverse momentum distribution should be confirmed by experiments to test the validity of this model. Furthermore, this vanishing triple-Regge behaviour is expected in near future experiments. It is also predicted that the Feynman scaling and the Bjorken scaling functions are almost factorizable.
理論物理学刊行会の論文
1972-09-25