Translational invariance in bag model

Abstract

In this thesis, we investigate the effect of restoring the translational invariance to an approximation to the MIT bag model on the calculation of deep in elastic structure functions. In chapter one, we review the model, its major problems and we outline Dirac's method of quantisation. This method is used in chapter two to quantise a two-dimensional complex scalar bag and formal expressions for the form factor and the structure functions are obtained. In chapter three, we try to study the expression for the structure function away from the Bjorken limit . The corrections to the L(_o) - approximation to the structure function i s calculated in chapter four and it is shown to be large. Finally , in chapter five, we introduce a bag-like model for kinematic corrections to structure functions and obtain agreement with data between 2 and 6 (GeV/C)(^2)