Deep-inelastic structure functions in an approximation to the bag theory

Abstract

A cavity approximation to the bag theory developed earlier is extended to the treatment of forward virtual Compton scattering. In the Bjorken limit and for small values of $\omega (\omega =|2p·\frac{q}{q^2}\mathrm{}\left|\right)\mathrm{}$ it is argued that the operator nature of the bag boundaries might be ignored. Structure functions are calculated in one and three dimensions. Bjorken scaling is obtained. The model provides a realization of light-cone current algebra and possesses a parton interpretation. The structure functions show a quasielastic peak. The spreading of the structure functions about the peak is associated with confinement. As expected, Regge behavior is not obtained for large $\omega$. The "momentum sum rule" is saturated, indicating that the hadron's charged constituents carry all the momentum in this model. $\nu W_L$ is found to scale and is calculable. Application of the model to the calculation of spin-dependent and chiral-symmetry-violating structure functions is proposed. The nature of the intermediate states in this approximation is discussed. Problems associated with the cavity approximation are also discussed.